Autors: Mitov, A. S., Slavov, T. N., Kralev, J. K. Title: Real-Time Gain Scheduling Controller for Axial Piston Pump Based on LPV Model Keywords: axial piston pump, gain scheduling controller, LPV model, real-timeAbstract: This article is devoted to the design of a real-time gain scheduling (adaptive) proportional–integral (PI) controller for the displacement volume regulation of a swash plate-type axial piston pump. The pump is intended for open circuit hydraulic drive applications without “secondary control”. In this type of pump, the displacement volume depends on the swash plate swivel angle. The swash plate is actuated by a hydraulic-driven mechanism. The classical control device is a hydro-mechanical type, which can realize different control laws (by pressure, flow rate, or power). In the present development, it is replaced by an electro-hydraulic proportional spool valve, which controls the swash plate-actuating mechanism. The designed digital gain scheduling controller evaluates control signal values applied to the proportional valve. The digital controller is based on the new linear parameter-varying mathematical model. This model is estimated and validated from experimental data for various loading modes by an identification procedure. The controller is implemented by a rapid prototyping system, and various real-time loading experiments are performed. The obtained results with the gain scheduling PI controller are compared with those obtained by other classical PI controllers. The developed control system achieves appropriate control performance for a wide working mode of the axial piston pump. The comparison analyses of the experimental results showed the advantages of the adaptive PI controller and confirmed the possibility for its implementation in a real-time control system of different types of variable displacement pumps. References - Findeisen D. Helduser S. Ölhydraulik Springer Berlin/Heidelberg, Germany 2015
 - Frankenfield T. Using Industrial Hydraulics Rexroth Worldwide Hydraulics Penton Publishing Inc. New York, NY, USA 1984
 - Ivantysyn J. Ivantysynova M. Hydrostatic Pumps and Motors: Principles, Design, Performance, Modelling, Analysis, Control and Testing Academia Books International New Delhi, India 2001
 - Manring N. Fluid Power Pumps and Motors: Analysis, Design, and Control McGraw-Hill Education New York, NY, USA 2013
 - Stosiak M. Karpenko M. Dynamics of machines and hydraulic systems: Mechanical vibrations and pressure pulsations Synthesis Lectures on Mechanical Engineering Springer Nature Berlin/Heidelberg, Germany 2024
 - Kordak R. Hydrostatic Drives with Control of the Secondary Unit The Hydraulic Trainer Mannesmann Rexroth GmbH Lohr a. Main, Germany 1996 Volume 6
 - Tonyan M. Electronically Controlled Proportional Valves Marcel Dekker Inc. New York, NY, USA 1985
 - Sun Z. Khalil M.K.B. Yurkevich V.D. Svoboda J. Bhat R.B. Implementation of single feedback control loop for constant power regulated swash plate axial piston pumps Int. J. Fluid Power 2002 3 27 36 10.1080/14399776.2002.10781145
 - Zeng Q. Wan L. Xiao Y. Dynamic Response Analysis of the Bi-Tandem Axial Piston Pump with Dual-Loop Positive Flow Control under Pressure Disturbance Actuators 2023 12 260
 - Feng Y. Jian Z. Li J. Tao Z. Wang Y. Xue J. Advanced Control Systems for Axial Piston Pumps Enhancing Variable Mechanisms and Robust Piston Positioning Appl. Sci. 2023 13 9658 10.3390/app13179658
 - Petkov P. Slavov T.s. Kralev J. Design of Embedded Robust Control Systems Using MATLAB®/Simulink®IET Control London, UK 2018
 - Mitov A. Kralev J. Slavov T.S. Angelov I. Design of Embedded Control System for Open Circuit Axial Piston Pump Proceedings of the 2022 22nd International Symposium on Electrical Apparatus and Technologies (SIELA) Bourgas, Bulgaria 1–4 June 2022
 - Skarpetis M.G. Automatic Control of Hydraulic Systems Nova Science Publishers Inc. Hauppauge, NY, USA 2023
 - Haggag S.A. Robust control and modelling of a heavy equipment variable displacement pump hydraulic system Int. J. Heavy Veh. Syst. 2011 18 288 302 10.1504/IJHVS.2011.041595
 - Park S. Lee J. Kim J. Robust control of the pressure in a control-cylinder with direct drive valve for the variable displacement axial piston pump Proc. Inst. Mech. Eng. Part I J. Syst. Control Eng. 2009 223 455 465 10.1243/09596518JSCE677
 - Zeiger G. Akers A. The Application of Linear Optimal Control Techniques to Axial Piston Pump Controller Design SAE Technical Papers SAE International Warrendale, PA, USA 1989
 - Lin S. Akers A. Optimal control theory applied to pressure-controlled axial piston pump design J. Dyn. Syst. Meas. Control Trans. ASME 1990 112 475 481 10.1115/1.2896167
 - Berg H. Ivantysynova M. Design and testing of a robust linear controller for secondary controlled hydraulic drive Proc. Inst. Mech. Eng. Part I J. Syst. Control Eng. 1999 213 375 385 10.1243/0959651991540223
 - Zeiger G. Akers A. Dynamic Analysis of an Axial Piston Pump Swashplate Control Proc. Inst. Mech. Eng. Part I J. Syst. Control Eng. 1986 200 49 58 10.1243/PIME_PROC_1986_200_093_02
 - Berg H. Ivantysynova M. Robust closed loop speed and angular position control for variable displacement hydraulic motors supplied from a constant pressure mains system Olhydraulik Pneum. 1999 43 405 410
 - Zhang R. Alleyne A. Prasetiawan E. Modeling and H2/H∞MIMO control of an earthmoving vehicle powertrain J. Dyn. Syst. Meas. Control Trans. ASME 2002 124 625 636 10.1115/1.1515326
 - Lennevi J. Palmberg J.-O. Application and implementation of LQ design method for the velocity control of hydrostatic transmissions Proc. Inst. Mech. Eng. Part I J. Syst. Control Eng. 1995 209 255 268 10.1243/PIME_PROC_1995_209_393_02
 - Heybroek K. Larsson J. Palmberg J.-O. Open Circuit Solution for Pump Controlled Actuators Proceedings of the 4th FPNI-PhD Symposium Sarasota, FL, USA 13–17 June 2006 27 40
 - Zhang P. Li Y. Research on Control Methods for the Pressure Continuous Regulation Electrohydraulic Proportional Axial Piston Pump of an Aircraft Hydraulic System Appl. Sci. 2019 9 1376 10.3390/app9071376
 - Kemmetmüller W. Fuchshumer F. Kugi A. Nonlinear pressure control of self-supplied variable displacement axial piston pumps Control Eng. Pract. 2010 18 84 93 10.1016/j.conengprac.2009.09.006
 - Wei J. Guo K. Fang J. Tian Q. Nonlinear supply pressure control for a variable displacement axial piston pump Proc. Inst. Mech. Eng. Part I J. Syst. Control Eng. 2015 229 614 624 10.1177/0959651815577546
 - Mitov A. Slavov T. Kralev J. Comparison of Advanced Multivariable Control Techniques for Axial-Piston Pump Processes 2024 12 1797 10.3390/pr12091797
 - Landau Y.D. Adaptive Control: The Model Reference Approach CRC Press Boca Raton, FL, USA 1979
 - Åström K.J. Adaptive Control in Mathematical System Theory: The Influence of RE Kalman Springer Berlin/Heidelberg, Germany 1995
 - Helian B. Mustalahti P. Mattila J. Chen Z. Yao B. Adaptive robust pressure control of variable displacement axial piston pumps with a modified reduced-order dynamic model Mechatronics 2022 87 102879 10.1016/j.mechatronics.2022.102879
 - Han L. Wang H.J. Li D.Y. Yao Y. MRAC for Direct Drive Electronic-Hydraulic Servo System Advanced Materials Research Trans Tech Publ. 2012 433–440 4142 4148
 - Plummer A.R. Vaughan N.D. Robust adaptive control for hydraulic servosystems J. Dyn. Syst. Meas. Control 1996 118 237 244 10.1115/1.2802309
 - Wei X. Wang L. Ni X. Speed control strategy for pump-motor hydraulic transmission subsystem in hydro-mechanical continuously variable transmission J. Mech. Sci. Technol. 2021 35 5665 5679 10.1007/s12206-021-1034-x
 - Strano S. Terzo M. Non-Linear Model Reference Adaptive Control of a Hydraulic Actuator in Presence of Parametric Uncertainty Proceedings of the RAAD 2012: 21th International Workshop on Robotics in Alpe-Adria-Danube Region Naples, Italy 10–13 September 2012
 - Edge K.A. Hu F. Constant pressure control of a piston pump using a model reference adaptive control scheme Proceedings of the 11th Aachen Colloquium on Fluid Power Technology Aachen, Germany 8–10 March 1994
 - Busquets E. Ivantysynova M. Handroos H. Discontinuous projection-based adaptive robust control for displacement-controlled actuators J. Dyn. Syst. Meas. Control Trans. ASME 2015 137 8 10.1115/1.4030064
 - Guo K. Wei J. Adaptive robust control of variable displacement pumps Proceedings of the American Control Conference Washington, DC, USA 17–19 June 2013
 - Koivumäki J. Mattila J. Adaptive and nonlinear control of discharge pressure for variable displacement axial piston pumps J. Dyn. Syst. Meas. Control Trans. ASME 2017 139 10 10.1115/1.4036537
 - Chao Q. Hu Y. Liu C. Physics informed neural networks for detecting the wear of friction pairs in axial piston pumps Reliab. Eng. Syst. Saf. 2025 261 111144 10.1016/j.ress.2025.111144
 - Wang W. Chao Q. Shi J. Liu C. Condition monitoring of axial piston pumps based on machine learning-driven real-time CFD simulation Eng. Appl. Comput. Fluid Mech. 2025 19 2474676 10.1080/19942060.2025.2474676
 - Wang S. Shuai H. Hu J. Zhang J. Liu S. Yuan X. Liang P. Few-shot fault diagnosis of axial piston pump based on prior knowledge-embedded meta learning vision transformer under variable operating conditions Expert Syst. Appl. 2025 269 126452 10.1016/j.eswa.2025.126452
 - Rexroth Bosch Group Pressure and Flow Control System Technical Data Sheet, RE 30630 Rexroth Bosch Group Lohr am Main, Germany 2015
 - Rexroth Bosch Group Proportional Directional Valves, Direct Operated, with Electrical Position Feedback as Pilot Control Valve for Control Systems SY(H)DFE Technical Data Sheet, RE 29016 Rexroth Bosch Group Lohr am Main, Germany 2019
 - Mitov A. Slavov T. Kralev J. Rapid Prototyping of H∞Algorithm for Real-Time Displacement Volume Control of Axial Piston Pumps Algorithms 2023 16 120 10.3390/a16020120
 - Danfoss Plus+1 Controllers MC012-020 and 022 Data Sheet, 11077167, Rev DA Danfoss Nordborg, Denmark 2013
 - Mitov A. Kralev J. Slavov T. LQG Control of an Open Circuit Axial Piston Pump Energies 2022 15 6800 10.3390/en15186800
 
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