Abstract
In this paper, the problems in sliding mode control systems with constraint control input are described, and then we utilize selecting a switching surface with an integrator to solve this problem and to derive a bound for the existence of sliding motion. Additionally, we propose an adaptive sliding mode controller in order to reduce settling time and also maintain the sliding motion in a larger bound. Finally, an illustrative example is given to demonstrate the effect of proposed controller.
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References
Utiks, U.,Control Systems of Variable Structure, Wiley: New York, 1976.
Utkin, V. I.,Sliding Mode and Their Application in Variable Structure Systems, Mir Publishers: Moscow, 1978.
Hikita, H., “Servomechanism based on sliding mode control,”Int. J. Control, vol. 48, pp. 435–447, 1988.
Chern, T. L. and Wu, Y. C., “Design of integral variable structure controller and application to electrohydralic velocity servosystems,”IEE Proc. D, vol. 138, pp. 439–444, 1991.
Chan, C. Y., “Servo-systems with discrete-variable structure control,”System & Control Letters, vol. 17, pp.321–325, 1991.
Fu, L. C. and Liao, T. L., “Globally stable robust tracking of nonlinear systems using variable structure control and with an application to a robotics manipulator,”IEEE Trans. Automat. Control, vol. 35, pp. 1345–1350, 1990.
Leung, T. P., Zhou, Q. J. and Su, C. Y., “An adaptive variable structure model following control design for robot manipulators,”IEEE Trans. Automat Control, vol. 36, pp. 347–352, 1991.
Song, Y D. and Gao, W. B., “Path tracking control of robot manipulators via the VSS approach,”Int. J. Systems Sci., vol. 22, pp. 151–163, 1991.
Spurgeon, S. K. and Patton, R. J., “Robust variable structure control of model reference systems,”IEE Proc. D, vol. 137, pp. 341–348, 1990.
Hedrick, J. K. and Gopalswamy, S., “Nonlinear flight control design via sliding methods,”J. of Guidance, Control, and Dynamics, vol. 13, pp. 850–858, 1990.
Madani-Esfahani, S. M., Hached, M. and Zak, S. H., “Estimation of sliding mode domains of uncertain variable structure systems with bounded controllers,”IEEE Trans. Automat. Control, vol. 35, pp. 446–449, 1990.
Chen, Y P. and Tsai, C. Y., “Output sliding-mode controller design for SISO systems,”15th National Symposium on Automatic Control, ROC, pp. 179–184, 1991.
Zinober, A. S. I., “Adaptive relay control of second-order systems,”Int. J. Control, vol. 21, pp. 81–98, 1975.
Zinober, A. S. I., “Self-adaptive near-optimal control of diffusion equations,”IEE Proc. D, vol. 127, pp. 290–295, 1980.
Slotine, J. J. and Sastry, S. S., “Tracking control of nonlinear systems using sliding surface with application to robot manipulator,”Int. J Control, vol. 38, pp. 465–492, 1983.
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Shyu, KK., Lin, CY. Adaptive sliding mode control for variable structure systems with constraint control input. Dynamics and Control 6, 49–61 (1996). https://doi.org/10.1007/BF02169461
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DOI: https://doi.org/10.1007/BF02169461