Abstract
A robust model reference backstepping (multiple-surfaces) controller is proposed for radial pneumatic motor motion systems with variable inlet pressure and mismatched uncertainties (time-varying payload). A radial pneumatic motor is first modeled by a non-autonomous equation with consideration of a ball screw table. A practical integral action and robust action are included in the backstepping design to compensate for the disturbance, mismatched uncertainty, and to eliminate the steady state error. The motion system is proved to have asymptotically stable performance and the experimental results show that the proposed controller is able to track the reference model output signal and maintain steady-state error.
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Zhang, Y., Nishi, A.: Low-pressure air motor for wall-climbing robot actuation. Mechatronics 13(4), 377–392 (2003)
Pandian, S.R., Takemura, F., Hayakawa, Y., Kawamura, S.: Control performance of an air motor-can air motors replace electric motors. In: IEEE International Conference, vol. 1, pp. 518–524 (1999)
Tokhi, M.O., Al-Miskiry, M., Brisland, M.: Real-time control of air motors using a pneumatic H-bridge. Control Eng. Pract. 9(4), 449–457 (2001)
Wang, J., Pu, J., Moore, P.R.: Modeling study and servo-control of air motor systems. Int. J. Control 71(3), 459–476 (1998)
Marumo, R., Tokhi, M.O.: Neural-model reference control of an air motor. In: 7th Africon Conference in Africa, Gaborone, Botswana, vol. 1, pp. 467–472 (2004)
Song, J., Ishida, Y.: A robust sliding mode control for pneumatic servo systems. Int. J. Eng. Sci. 35(8), 711–723 (1997)
Mahgoub, H.M., Craighead, I.A.: Development of a microprocessor based control system for a pneumatic rotary actuator. Mechatronics 5(5), 541–560 (1995)
Šitum, Ž., Žilić, T., Essert, M.: High speed solenoid valves in pneumatic servo applications. In: 2007 Mediterranean Conference on Control and Automation, Athens, Greece, pp. 1–6 (2007)
Nguyen, T., Leavitt, J., Jabbari, F., Bobrow, J.E.: Accurate sliding-mode control of pneumatic systems using low-cost solenoid valves. IEEE/ASME Trans. Mechatron. 12(2), 216–219 (2007)
Ursu, I., Ursu, F., Popescu, F.: Backstepping design for controlling electrohydraulic servos. J. Franklin Inst. 343(1), 94–110 (2006)
Pan, H., Wong, H., Kapila, V., Queiroz, D.M.S.: Experimental validation of a non-linear backstepping liquid level controller for a state coupled two tank system. Control Eng. Pract. 13(1), 27–40 (2005)
Li, G., Khajepour, A.: Robust control of a hydraulically driven flexible arm using backstepping technique. J. Sound Vib. 280(3–5), 759–775 (2005)
Ye, J.: Tracking control for nonholonomic mobile robots: integrating the analog neural network into the backstepping technique. Neurocomputing 71(16–18), 3373–3378 (2008)
Tan, Y.L., Chang, J., Tan, H.L., Hu, J.: Integral backstepping control and experimental implementation for motion system. In: Proceedings of the 2000 IEEE International Conference on Control Application, Anchorage, AK, pp. 25–27 (2000)
Lin, F.J., Shen, P.H., Hsu, S.P.: Adaptive backstepping sliding mode control for linear induction motor drive. IEEE Proc. Electr. Power Appl. 193(4), 184–194 (2002)
Lu, C.H., Hwang, Y.R., Shen, Y.T.: Backstepping sliding-mode control for a pneumatic control system. J. Syst. Control Eng. 224(6), 763–770 (2010)
Lu, C.H., Hwang, Y.R., Shen, Y.T.: Backstepping sliding mode tracking control of a vane-type air motor X–Y table motion system. ISA Trans. 50, 278–286 (2011)
Wang, J., Pu, J., Moore, P.: A practical control strategy for servo-pneumatic actuator systems. Control Eng. Pract. 7(12), 1483–1488 (1999)
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Lu, CH., Hwang, YR. A model reference robust multiple-surfaces design for tracking control of radial pneumatic motion systems. Nonlinear Dyn 67, 2585–2597 (2012). https://doi.org/10.1007/s11071-011-0171-7
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DOI: https://doi.org/10.1007/s11071-011-0171-7