Gain scheduling linear model of an electro-hydraulic actuator
In different industrial processes in which position and force control are desired, electro-hydraulic systems have a widespread area of utilization. Models of electrohydraulic systems include high order nonlinearity. In this study, a gain scheduling linear model corresponded with nonlinear model of a hydraulic force actuator system is developed. The proposed model is constituted in two distinct and consecutive stages. In the first step, nonlinear terms caused to nonlinearity are described by the means of measurable or observable system parameters and embedded in a nonlinear scheduling parameter. Thus, the scheduling parameter is continuously extracted from main system. In the second step, the nonlinear system equation is rearranged by the scheduling parameter and by this way parameter varying linear model is obtained. The simulations which are performed by use of Matlab-Simulink computer program show that the proposed model rightly fits to the nonlinear system model.
[1] Esposito, A., Fluid Power with Application. Prentice Hall International, Englewood Cliffs Editions Ltd. (1994).
[2] Garret A. Sohl, James E. Bobrow, Experiments and Simulations On the Nonlinear Control of a Hydraulic System, IEEE Trans. Control Syst. Technol., 7(2), 238–247 (1999).
[3] Akkaya¸ A.V., Çetin, Ş. Self-Tuning Fuzzy Logic Control of a Hydraulically Actuating System, Proceedings of 2nd International Conference on Intelligent Knowledge Systems, 154–158 (2005).
[4] Maneetham, D., Afzulpurkar, N., Modeling, Simulation and Control of High Speed Nonlinear Hydraulic Servo System, World Journal of Modelling and Simulation, 6(1), 27-39 (2010).
[5] Pfeiffer,F., Deregularization of a smooth systemexample hydraulics, Nonlinear Dyn., 47, 219–233 (2007).
[6] Detiček, E., Kastrevc, M., Design of Lyapunov Based Nonlinear Position Control of Electrohydraulic Servo Systems, Journal of Mechanical Engineering, 62(3), 163-170 (2016).
[7] Eyres, R., Champneys, A., Nick Lieven, Modelling and Dynamic Response of a Damper With Relief Valve, Nonlinear Dyn., 40, 119–147 (2005).
[8] Bonchis, A., Corke, P.I., Rye, D.C., Ha, Q. P., Variable Structure Methods In Hydraulic Servo Systems Control, Automatica, 37, 589–595 (2001).
[9] Kalyoncu, M., Haydim, M. Mathematical Modeling And Fuzzy Logic Based Position Control of an Electro Hydraulic Servo System With Internal Leakage, Mechatronics, Vol:19, No:6, 847–858 (2009).
[10] Çetin,S., Akkaya, A., V., Simulation and Hybrid Fuzzy-PID Control For Positioning of a Hydraulic System, Nonlinear Dyn, 61(3),465-476 (2010).
[11] Onat, C., WGC Based Robust and Gain Scheduling PI Controller Design for Condensing Boilers, Advances in Mechanical Engineering, 1-13 (2014).
[12] Onat, C., Küçükdemiral, İ.B., Sivrioğlu, S., Yüksek, İ., Cansever, G., LPV Gain-Scheduling Controller Design for a Non-Linear Quarter-Vehicle Active Suspension System, Transactions of the Institute of Measurement& Control, 31(1), 71-95 (2009).
[13] Onat, C., Küçükdemiral, İ. B., Sivrioğlu, S., Yüksek, İ., LPV Model Based Gain-Scheduling Controller for a Full Vehicle Active Suspension System, Journal of Vibration and Control, 13(11), 1629-1666 (2007).
[14] Fialho, I. J., Balas, G. J., Design of Nonlinear Controllers for Active Vehicle Suspensions UsingParameter-Varying Control Synthesis, Vehicle System Dynamics, 33(5), 351-370 (2000).
[15] I. J. Fialho, G. J. Balas, Road Adaptive Active Suspension Design Using Linear Parameter-Varying Gain-Scheduling, IEEE Transactions on Control Systems Technology, 10(1), 43-54 (2002).
[16] Onat, C., Sahin, M., Yaman, Y., Prasad, S., Nemana, S., Design of an LPV Based Fractional Controller for the Vibration Suppression of a Smart Beam, International Workshop Smart Materials, Structures & NDT In Aerospace Conference NDT in Canada, Montreal, Quebec, Canada, November (2011).
[17] Onat, C., Sahin, M., Yaman, Y., Gain-Scheduling H∞ Control of A Smart Beam with Parameter Varying, Viiieccomas Thematic Conference On Smart Structures And Materials Smart, 453-463 Madrid, Spain, June, (2017).
[18] Onat, C., Turan, A., Robust and Gain Scheduling PI Control of Varying Time Delay Systems, ICAIE International Conference on Advances and Innovations in Engineering, 896-89, Elazığ-Turkey, May (2017).