Proportional vs. Servo Valves: When You Need Closed-Loop Hydraulic Control
A proportional valve and a servo valve both meter hydraulic flow in proportion to an electrical command, but they differ in how precisely, how quickly, and how repeatably they do it, and those differences decide whether a heavy hydraulic axis can hold a position, follow a profile, or regulate a force under load. UTEC Industrial designs, engineers, machines, fabricates, and installs custom material handling systems for aerospace and heavy industry from its Spokane Valley, WA facility, integrating Allen-Bradley PLC and motion control with in-house CNC machining, heat treating, and stress relief. This article compares the two valve classes on the numbers a specifying engineer can read off a datasheet (hysteresis, response sensitivity, bandwidth, deadband, and cleanliness class) and shows how to judge when an axis needs closed-loop control rather than a simple open-loop command. Valve choice sits late in the build chain, design → engineering → parts machining → fabrication → assembly → weld fatigue → stress relief → drives → controls → tuning → monitoring, but it depends on decisions made at the first links: the moving mass, the cylinder geometry, and the stiffness of the frame the cylinder pushes against.
What is the difference between a proportional valve and a servo valve?
Both are continuously variable directional valves: instead of snapping fully open or fully shut like an on/off solenoid valve, they open an orifice by an amount that follows the electrical command, so the flow to the actuator, and therefore its speed, follows the command too. The difference is one of grade rather than principle.
A proportional directional valve of the Bosch Rexroth 4WRE/4WREE type (figures here are from data sheet RE 29061, edition 10.05) is a direct-operated, spring-centred spool valve driven by proportional solenoids. It carries a position transducer on the spool, and its data sheet describes it as providing closed-loop control of both the direction and the size of a flow. The integrated-electronics version accepts a ±10 V or 4 to 20 mA command and returns a spool actual-value signal. It is rated to 315 bar (about 4,570 psi) on ports A, B, and P, with nominal flows of 8, 16, or 32 l/min in nominal size 6 and 25, 50, or 75 l/min in nominal size 10, each measured at a 10 bar valve pressure differential.
A servovalve, as modeled in NASA's analysis of a servovalve-controlled actuator, is characterised above all by its dynamic response. The spool is treated as a first-order system whose time constant is set by a bandwidth the manufacturer specifies, and the example valve in that report is rated at 25 Hz bandwidth and 40 gpm at 1,000 psi pressure loss, working from a 3,000 psig supply.
In practice, then:
- Proportional valves are selected on flow, pressure rating, and a spool-position accuracy good enough for speed and position control of industrial axes.
- Servo-grade valves are selected on bandwidth and low deadband, because the axis loop wrapped around them has to correct errors faster than the load can drift.
The name on the valve matters less than the response and accuracy figures on its data sheet (Bosch Rexroth RE 29061/10.05, Features and Technical data; NASA-TM-101644 1990, §2.2 and Table I).
What does "closed-loop" actually close in a hydraulic motion system?
Two different loops are involved, and specifications often confuse them.
The first is the valve's own spool loop. On a proportional valve with electrical position feedback, the onboard or external amplifier compares the command with the spool position transducer and drives the solenoids until the spool sits where it was told to. The Rexroth data sheet makes a telling point about this loop: when de-energised, the spool is held in a mechanical centre position by its return springs, and for the "V" spool that mechanical centre is not the hydraulic centre. Only when the electrical valve control loop is closed is the spool positioned at the hydraulic centre.
The second is the axis loop, which closes around the actuator itself. A position transducer on the cylinder, a pressure transducer in each chamber, or a load cell in the load path feeds a controller, which adjusts the valve command until the actuator's position, pressure, or force matches the setpoint. Without this outer loop, a valve with a perfectly controlled spool still delivers only a controlled flow; the actuator position is the time integral of that flow, and it drifts with load, leakage, temperature, and supply pressure.
An experimental comparison of hydraulic, pneumatic, and electric linear actuators at the University of Ljubljana ran the hydraulic axis on a 4/3 proportional directional valve with a step command and no feedback loop. The authors concluded that smooth, constant motion from a hydraulic or pneumatic system requires a feedback loop controller that sets the valve opening as needed. "Closed-loop hydraulics" in a specification should therefore name which variable the axis loop regulates and which sensor measures it (Bosch Rexroth RE 29061/10.05, Function section; Pustavrh et al. 2023, Experimental setup and Conclusion).
Which datasheet numbers separate a proportional valve from a servo-grade valve?
A buyer comparing valves should read four groups of figures, because they map directly to what the axis loop can achieve.
| Figure | What it tells the specifier | Example value from the register sources |
|---|---|---|
| Hysteresis | Difference in spool position for the same command approached from opposite directions | ≤ 0.1 % on the Rexroth 4WRE/4WREE |
| Reversal span and response sensitivity | Command change needed to reverse the spool, and the smallest command change that produces spool movement | ≤ 0.05 % each on the 4WRE/4WREE |
| Zero-point displacement | Drift of the hydraulic zero with oil temperature and pressure | 0.15 % per 10 K and 0.1 % per 100 bar on the 4WRE/4WREE |
| Bandwidth and deadband | How fast the spool follows a changing command, and how much command produces no flow | 25 Hz bandwidth and ±2 % deadband on the NASA example servovalve |
The Rexroth data sheet also publishes step-response curves, plotted on a 0 to 40 ms time axis for nominal size 6 and 0 to 60 ms for nominal size 10, and frequency-response curves from 1 to 200 Hz at ±10 %, ±25 %, and ±100 % signal amplitude. Because the curves are published separately for each signal amplitude, a specifier should read the curve at the amplitude the application actually uses rather than quoting a single bandwidth figure.
A specification that asks only for "a proportional valve" or "a servo valve" leaves every one of these figures open. A specification that states the required positioning resolution, the move profile, and the tolerable deadband lets a supplier select the valve grade and show the data sheet that proves it (Bosch Rexroth RE 29061/10.05, Technical data and characteristic curves; NASA-TM-101644 1990, Table I).
How do spool overlap and deadband affect positioning accuracy?
A spool can be ground with overlap, meaning the lands cover the ports by a small distance at the neutral position. NASA's report explains the trade-off: a servovalve spool may be manufactured with overlap to ensure positive shutoff, and an overlapped spool produces a deadband about the neutral position that also increases system damping. The example valve in the report has a deadband of ±2 % of command.
For a position loop, deadband is a band of command in which nothing happens. When the axis is close to its target, the controller's correction is small; if that correction falls inside the deadband, the actuator stops short. The controller output then integrates upward until it breaks through the deadband, the spool opens, and the axis jumps past the target. The result is a limit cycle, a small, sustained hunt around the setpoint that shows up as chatter on a positioner, a transfer-car lift, or a press ram holding position.
NASA also lists the simplifying assumptions needed to linearize the actuator equations, and zero servovalve overlap is one of them. A zero-lap spool is the case that behaves like the textbook linear model; an overlapped spool is safer to leave unpowered but harder to control near zero. The Rexroth data sheet's note that, on its "V" spool, the mechanical spring centre differs from the hydraulic centre is the same issue seen from the proportional-valve side. For a holding axis, a specifier should decide whether positive shutoff at neutral, which argues for overlap plus a separate load-holding valve, or fine control through zero, which argues for a low-deadband valve, governs the design (NASA-TM-101644 1990, §2.2 and §2.5; Bosch Rexroth RE 29061/10.05, Function section).
When does an open-loop proportional valve stop being good enough?
Open-loop proportional control, in which the PLC sends a speed command to the valve and relies on limit switches or proximity sensors to stop the move, is adequate for many heavy axes: a log turner that rotates until a sensor trips, a gate that opens to a hard stop, or a clamp that closes until pressure builds. It stops being adequate when the axis has to arrive somewhere precise, follow a speed profile under a changing load, or hold a force.
The Ljubljana experiment shows why. Under a step command with no feedback loop, the hydraulic actuator reached its highest velocity, 0.76 m/s, at the start of the stroke and then settled to 0.18 m/s. With the added load on the carriage, three periods of oscillation followed the valve switching, the first lasting 0.51 s and the next two about 0.17 s and 0.16 s. The authors attributed the initial surge to potential energy stored in the pressurised lines being released when the valve opened, and noted that hydraulic accumulators help prevent sudden releases of high energy or pressure shocks.
NASA's simulations point to the same lesson from the command side: the acceleration of the piston and load is determined by the rate of change of the servovalve command, while the magnitude of the command sets the slew rate. A 30 % step command produced large accelerations and visible oscillation; ramped commands of 150 %/s and 60 %/s to the same 30 % opening reduced peak acceleration, and in the gentler case oscillation was almost non-existent.
Command ramping, which the Rexroth integrated electronics provide with an externally adjustable ramp of 0 to 2.5 s, fixes the acceleration problem. It does not fix drift, load-dependent speed, or position error at the end of the move; that takes an axis loop. UTEC Industrial proves those ramps and loops out on the assembled machine during factory acceptance testing and again at on-site commissioning (Pustavrh et al. 2023, Results and Conclusion; NASA-TM-101644 1990, §4.1 to §4.3; Bosch Rexroth RE 29061/10.05, Integrated electronics).
How fast does the valve need to be compared with the load?
The answer comes from comparing the valve's bandwidth with the hydraulic natural frequency of the actuator and its load. NASA derives the transfer function of a servovalve-controlled actuator. For a double-acting actuator with equal areas operating about midstroke, the hydraulic natural frequency is:
ω_N² = 2 B A² / (V M)
where B is the fluid bulk modulus, A the piston area, V the oil volume on each side of the piston, and M the moving mass. The oil column acts as a spring, and the moving mass resonates on it.
A worked check using the parameters in NASA's own example:
- Bulk modulus, B = 100,000 psi (the constant in the report's simulation code)
- Cylinder bore 2.0 in, so A = π × 2.0² ÷ 4 = 3.14 in²
- Stroke 15 in (Table I); at midstroke, V = 3.14 in² × 7.5 in = 23.6 in³ per side
- Mass of piston and load 2,050 lbm, so M = 2,050 ÷ 386.4 = 5.31 lbf·s²/in
ω_N² = 2 × 100,000 psi × (3.14 in²)² ÷ (23.6 in³ × 5.31 lbf·s²/in) ≈ 15,800 s⁻², so ω_N ≈ 126 rad/s and f_N ≈ 20 Hz.
Assumptions: the actuator is treated as equal-area using the 2.0 in bore, although NASA's actual cylinder has a 1.375 in rod and unequal areas; line and valve-port volume is ignored; and the cylinder mount is taken as rigid.
The example valve's 25 Hz bandwidth gives a spool time constant of τ = 1 ÷ (2π × 25) ≈ 6.4 ms, which sits close to the 20 Hz load resonance. In that case the valve cannot be treated as an instantaneous flow source; its first-order lag and the second-order load term both appear in the transfer function, and both limit how aggressively the axis loop can be tuned. The scaling is the point for heavy handling equipment: because f_N varies with 1 ÷ √M, a load ten times heavier on the same cylinder drops the natural frequency to about 6.3 Hz, and doubling the trapped oil volume with long hoses to a remote valve drops it to about 14 Hz. Heavy, slow axes rarely need a high-bandwidth valve; they need a valve mounted close to the cylinder, short stiff lines, and a frame that does not add its own compliance (NASA-TM-101644 1990, §2.5 Eq. 27 to 29, Table I and Appendix 7.0).
How is valve flow sized against pressure drop and load?
Flow through a metering spool is not linear in pressure. NASA models servovalve flow as a function of the square root of the differential pressure across the valve, Q = K_v √ΔP, and computes the coefficient from the manufacturer's rating. For the example valve rated at 40 gpm at 1,000 psi loss, K_v = 3.851 × 40 ÷ √1,000 ≈ 4.87 in⁴/(s·lbf^0.5). The same relationship means that if only 250 psi is left across the valve after the load takes its share of supply pressure, the fully open valve passes about 40 × √(250 ÷ 1,000) = 20 gpm, half its rating.
Proportional valves are rated the same way at a lower reference pressure. The Rexroth 4WRE/4WREE nominal flows are stated at a 10 bar (145 psi) valve pressure differential, defined as inlet pressure minus load pressure minus return pressure, with a maximum permissible flow of 80 l/min (about 21 gpm) for nominal size 6 and 180 l/min (about 48 gpm) for nominal size 10. A 32 l/min valve run at 40 bar across the spool would pass about 64 l/min by the square-root relation, still inside the 80 l/min limit; the data sheet instructs the user to take that maximum into account.
The hydraulic power the valve controls follows directly as P = pQ. NASA's step case drew a peak of about 15 gpm into the cap end from a 3,000 psig supply; at full supply pressure that is 3,000 × 15 ÷ 1,714 ≈ 26 hp (about 19.6 kW), an upper bound on the hydraulic power one valve spool meters in that case. Sizing therefore starts from the load force and speed, sets the pressure left across the valve at full speed, and only then picks the valve's rated flow (NASA-TM-101644 1990, §2.2 Eq. 11 to 13; Bosch Rexroth RE 29061/10.05, Technical data and flow curves; Kazama 2019, Eq. 1).
Why do high-flow servo valves use multiple stages and feedforward control?
The Rexroth 4WRE is a single-stage, direct-operated valve: its proportional solenoids move the main spool themselves. For very large flows and pressures, servo valves are built in stages, with a smaller stage driving a larger one. Lee and co-authors note that three-stage servo-valves are widely used in hydraulic systems that need large flow rate and high pressure, and that securing a proper position-control bandwidth is a critical task for the servo-valve.
Each added stage adds lag. In their study, the authors compared a set of common control methods for the three-stage valve's spool position and found feedforward model-inverse control the most effective in terms of control bandwidth. The identified closed-loop model had a nonminimum-phase zero, a feature that prevents a simple exact inverse, and they applied zero magnitude error tracking control, an approximate model-inverse technique, to overcome it.
For a buyer, the practical point is that the valve's internal control strategy is part of the valve's performance, not a detail to leave to commissioning. A high-flow axis on a large press, a gate hoist, or a heavy test rig may need a multi-stage valve whose spool loop is itself tuned for bandwidth; the axis loop in the PLC or motion controller then sits outside that. Two loops tuned by two parties need a stated bandwidth boundary between them (Lee et al. 2019, Abstract).
Why does fluid cleanliness decide whether a proportional or servo valve survives?
Metering spools run with small clearances, and the performance figures above assume the oil is clean enough not to wear or jam them. The Rexroth data sheet sets a maximum permissible contamination of cleanliness class 20/18/15 to ISO 4406 for the 4WRE/4WREE, and states that the cleanliness class given for the components must be maintained in the hydraulic system, because effective filtration prevents faults and increases component service life. ISO 4406:2021 is the standard that defines how that contamination level by solid particles is coded.
Cleanliness is not the only fluid condition on the data sheet. The same valve is specified for a viscosity range of 20 to 380 mm²/s, with 30 to 46 mm²/s preferred, and a fluid temperature range of −20 to +80 °C, with +40 to +50 °C preferred. Its hydraulic zero shifts by 0.15 % per 10 K of temperature change, so a machine that starts cold in an unheated mill building and warms up over a shift will see its valve null move unless the axis loop corrects for it.
Common failure modes follow from those clearances: silt wearing the metering edges raises leakage and deadband; a particle lodged at a land sticks the spool; and a varnished spool increases hysteresis. None of these announce themselves as a hard fault at first; they appear as slower settling, a growing position error, or a limit cycle at standstill. A specification should state the target cleanliness code, the filter locations that achieve it, and the oil-conditioning plan for temperature, and should make them acceptance items rather than maintenance afterthoughts (Bosch Rexroth RE 29061/10.05, Technical data note 1; ISO 4406:2021).
How do controls and sensing close the loop in an Allen-Bradley PLC system?
The intelligence layer around a closed-loop hydraulic axis has four parts: the sensor, the controller task that runs the loop, the valve interface, and the monitoring that watches the loop over time.
- Sensors. A linear position transducer on the cylinder for position control, pressure transducers on both chambers for force or pressure control, and a load cell where force must be measured directly in the load path. The Ljubljana test rig used exactly this set: a linear position sensor, four pressure sensors, a load cell, a flow sensor, and a temperature sensor.
- Loop execution. In a Logix 5000 controller, a periodic task executes automatically at a preconfigured interval, and it does not execute again until that interval has elapsed. That fixed interval is what a sampled control loop needs. An event task can respond to a trigger, and Rockwell notes that the motion planner takes precedence over event and periodic tasks.
- Valve interface. The integrated electronics on the Rexroth 4WREE take a ±10 V or 4 to 20 mA command and return a matching actual-value signal of the spool position, which the PLC can compare with the command to detect a stuck or drifting spool.
- Electrical design basis. The panel, wiring, and drive circuits fall under IEC 60204-1:2016, the general-requirements standard for the electrical equipment of machines.
UTEC Industrial programs Allen-Bradley ControlLogix and CompactLogix controllers with PanelView and FactoryTalk operator interfaces over EtherNet/IP, and builds the control panels to UL 508A. Monitoring completes the chain: logging following error, valve command at standstill, and oil temperature against the 0.15 % per 10 K null shift gives early warning of the contamination and wear failure modes before they stop the machine (Rockwell Automation 1756-RM094N-EN-P-2025, Configure a Periodic Task p. 43; Bosch Rexroth RE 29061/10.05, Integrated electronics; Pustavrh et al. 2023, Hydraulic system; IEC 60204-1:2016).
Can the valve's feedback signal be used for a safety function?
No, and the valve manufacturer says so explicitly. The Rexroth 4WRE/4WREE data sheet states that electrical signals processed by the control electronics, such as the spool actual value, must not be used for switching off safety-relevant machine functions. The spool feedback exists to make the valve meter accurately; it is not a safety-rated signal.
Safety functions on a hydraulic axis, such as safe stop, load holding, and guarding or zone interlocks, belong in a safety-rated control system. Rockwell's GuardLogix safety reference manual states that only the safety task, not standard tasks, can be used for safety functions. It rates a GuardLogix 5580 primary controller without a safety partner to SIL 2 and PLd, Category 3, and with a safety partner to SIL 3 and PLe, Category 4, for applications where the de-energised state is the safe state. It adds that a risk assessment determines whether a safety function needs SIL 2 or SIL 3.
The standards that frame that risk assessment and design are ISO 12100:2010 for risk assessment and risk reduction, and ISO 13849-1:2023 for the safety-related parts of control systems, which applies to hydraulic axes as well as electrical ones. On a hydraulic axis the de-energised safe state has a physical meaning that must be designed in: when the valve drops out, the spool must return to a position, and the circuit must include holding elements, that leave the load stationary rather than free to fall or drift. That is a circuit-design decision made long before the safety PLC is programmed (Bosch Rexroth RE 29061/10.05, Integrated electronics note; Rockwell Automation 1756-RM012J-EN-P-2025, Ch. 1; ISO 12100:2010; ISO 13849-1:2023).
What stored-energy hazards does a closed-loop hydraulic axis add at lockout?
Closed-loop hydraulic axes often carry accumulators, either to supply the peak flows that fast valves demand or to absorb pressure shocks. NASA's example system includes a 5 gallon accumulator with an 1,800 psia initial gas charge feeding a 3,000 psig supply, and the Ljubljana study recommends accumulators to damp pressure shocks. An accumulator charged like that holds energy in the circuit after the pump motor is locked out.
OSHA's lockout/tagout standard defines an energy source to include hydraulic and pneumatic energy, and paragraph 1910.147(d)(5)(i) requires that, after lockout or tagout devices are applied, all potentially hazardous stored or residual energy be relieved, disconnected, restrained, and otherwise rendered safe. Paragraph 1910.147(d)(5)(ii) requires verification of isolation to continue until servicing is complete if stored energy could reaccumulate to a hazardous level. On a hydraulic axis that means accumulator dump valves, gauge points to verify zero pressure, and mechanical blocking for any load held up by a cylinder, because trapped oil behind a closed valve can still support, or suddenly release, a raised load.
ISO 4413:2010 sets the general rules and safety requirements for hydraulic systems and their components and is the system-level reference for these provisions. The practical specification items are an accumulator isolation and discharge arrangement, a pressure gauge that is visible from the isolation point, and a written energy-control procedure for each axis (OSHA 29 CFR 1910.147-1989, paragraph d.5; NASA-TM-101644 1990, Table I; ISO 4413:2010).
When is an electric servo axis the better choice than closed-loop hydraulics?
Not every precise axis should be hydraulic. The Ljubljana comparison held input power to 1.1 kW for hydraulic, pneumatic, and electric linear actuators and found that the electric system gave the most consistent response and the lowest power consumption. The hydraulic system drew 740.5 W before activation at a 50 bar system pressure and 1,529.9 W at 200 bar, because its power unit runs whether or not the valve is commanded. The complete hydraulic system also weighed 52.0 kg against 11.6 kg for the electric system and 7.9 kg for the pneumatic one.
Hydraulics still earns its place where force density matters. In the same study the hydraulic actuator produced the highest measured compressive and tensile forces during the test moves, and Kazama's survey of transmission elements found that the power density of hydraulic hoses and electrical cables is high while that of pneumatic tubes is low. That means hydraulic power can be carried to a compact actuator at the point of use through comparatively light hoses, with the power unit located elsewhere.
A practical dividing line for heavy material handling is:
- Choose electric servo for moderate forces, long strokes with precise profiles, high duty cycles where standby losses add up, and sites where oil leakage is unacceptable.
- Choose closed-loop hydraulics for very high forces in a small envelope, for shock loads, and for holding a large static force for long periods.
- Use both on the same machine, with each axis matched to its duty and one PLC coordinating them.
UTEC Industrial integrates VFD and servo drives on Allen-Bradley ControlLogix and CompactLogix controllers, so the actuator choice for each axis does not force a change of control platform. That dividing line follows the same measured data throughout this answer: highest force density for hydraulics, the most consistent response and lowest power draw for electric servos, and both combined where a machine carries axes of each duty type (Pustavrh et al. 2023, Abstract, Results and Fig. 9; Kazama 2019, Abstract and Conclusion).
Where does valve selection fall in the chain from frame design to monitoring?
The natural-frequency relation, ω_N² = 2BA²/(VM), explains why valve performance is decided upstream of the valve. The oil column is only one spring in the load path; the frame, the cylinder mounts, and the pins are springs in series with it. A welded frame that deflects, or that relaxes as residual welding stresses redistribute after machining, lowers the effective stiffness and the achievable loop bandwidth, and it can shift the geometry that the position transducer was calibrated against. Along the chain, that means:
- Design and engineering set the moving mass M, the cylinder area A, and the valve location that fixes V.
- Parts machining, fabrication, and assembly produce the cylinder mounts, clevises, and the frame that must stay straight and stiff, and fit the axis together.
- Weld fatigue and stress relief keep the frame dimensionally stable under the cyclic loads a servo axis applies.
- Drives, controls, and tuning close the loop inside the stiffness the structure allows.
- Monitoring watches for the drift that signals contamination, wear, or structural change.
UTEC Industrial stress-relieves and machines welded frames to tolerances of ±0.001 in before assembly, so the structure that carries a closed-loop axis is stable before the loop is tuned. NASA's report notes that its general model allows quick assessment of alternate system hardware or control strategy, which is exactly the use for it at the design review, before steel is cut, rather than on the commissioning floor (NASA-TM-101644 1990, §2.5 and §5.0).
- Hydraulic vs. Pneumatic vs. Electric Actuation for Heavy Material Handling — when hydraulics is the right actuation in the first place
- Mixed-Power Machines: Partitioning Hydraulic, Pneumatic, and Electric Axes — closed-loop hydraulic axes inside a mixed-power machine
- Lockout/Tagout for CNC Equipment: OSHA Requirements and Best Practices — bleeding accumulators and trapped pressure before service
References
- Bosch Rexroth RE 29061/10.05 (2005): 4/2 and 4/3 Proportional Directional Valves, Direct Operated, with Electrical Position Feedback, Types 4WRE and 4WREE. Bosch Rexroth, 2005.
- NASA NASA-TM-101644 (1990): Simulated Dynamic Response of a Servovalve Controlled Hydraulic Actuator. NASA Langley Research Center, 1990.
- Lee, K. H., Baek, S. G., Choi, H. R., Moon, H., Ji, S.-H., Koo, J. C. (2019). "Feedforward model-inverse position control of three-stage servo-valve using zero magnitude error tracking control." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 233(7), 2340-2348. DOI 10.1177/0954406218786533
- Pustavrh, J., Hočevar, M., Podržaj, P., Trajkovski, A., Majdič, F. (2023). "Comparison of hydraulic, pneumatic and electric linear actuation systems." Scientific Reports, 13(1), 20938. DOI 10.1038/s41598-023-47602-x
- Kazama, T. (2019). "Comparison of power density of transmission elements in hydraulic, pneumatic, and electric drive systems." Mechanical Engineering Letters, 5, 19-00139. DOI 10.1299/mel.19-00139
- ISO 4406:2021: Hydraulic fluid power — Fluids — Method for coding the level of contamination by solid particles. International Organization for Standardization, 2021.
- ISO 4413:2010: Hydraulic fluid power — General rules and safety requirements for systems and their components. International Organization for Standardization, 2010.
- ISO 13849-1:2023: Safety of machinery — Safety-related parts of control systems — Part 1: General principles for design. International Organization for Standardization, 2023.
- ISO 12100:2010: Safety of machinery — General principles for design — Risk assessment and risk reduction. ISO, 2010.
- IEC 60204-1:2016 (Ed. 6.0): Safety of Machinery -- Electrical Equipment of Machines -- Part 1: General Requirements. International Electrotechnical Commission, 2016.
- OSHA 29 CFR 1910.147-1989: The Control of Hazardous Energy (Lockout/Tagout). Occupational Safety and Health Administration, 1989.
- Rockwell Automation 1756-RM012J-EN-P-2025: GuardLogix 5580 and Compact GuardLogix 5380 Controllers Safety Reference Manual. Rockwell Automation, 2025.
- Rockwell Automation 1756-RM094N-EN-P-2025: Logix 5000 Controllers Design Considerations. Rockwell Automation, 2025.
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