A Discrete-Time Sliding Mode Controller with Modified Function for Linear Time-Varying Systems

This paper contains the linear time varying systems with discrete time sliding mode control with modified switching function. The changed sliding surface improves control input in the initial phase and reduces the chattering with improved robustness. Also the system state is uniformly eventually bounded with better asymptotic convergence under the existence of time varying disturbances.

[1]  K. Furuta.  Sliding mode control of a discrete system , 1990 .

[2]  Kang-Bak Park,et al.  Discrete-Time Sliding Mode Controller for Linear Time-Varying Systems with Disturbances , 2000 .

[3]  V. Utkin.  Variable structure systems with sliding modes , 1977 .

[4]  Rolf Johansson.  Lyapunov Design for Adaptive Control of Robots , 1989 .

[5]  Katsuhisa Furuta,et al.  DISCRETE-TIME VSS CONTROLLER DESIGN , 1997 .

[6]  Vadim I. Utkin,et al.  Sliding Modes and their Application in Variable Structure Systems , 1978 .

[7]  O. Kaynak,et al.  On the stability of discrete-time sliding mode control systems , 1987 .

[8]  B. Drazenovic,et al.  The invariance conditions in variable structure systems , 1969, Autom..

[9]  Weibing Gao,et al.  Discrete-time variable structure control systems , 1995, IEEE Trans. Ind. Electron..

[10]  Vadim I. Utkin,et al.  A control engineer's guide to sliding mode control , 1999, IEEE Trans. Control. Syst. Technol..

[11]  Andrzej Bartoszewicz,et al.  Discrete-time quasi-sliding-mode control strategies , 1998, IEEE Trans. Ind. Electron..

[12]  P. Myszkorowski.  Robust controller for the linear discrete-time systems , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.

[13]  M. Jalili-Kharaajoo,et al.  Discrete-time sliding mode control design for linear time-varying systems: application to steering control of highway vehicles , 2004, Proceedings of the IEEE International Conference on Mechatronics, 2004. ICM '04..

[14]  B. Draenovi.  The invariance conditions in variable structure systems , 1969 .

[15]  Christopher Edwards,et al.  Sliding mode control : theory and applications , 1998 .

[16]  Okyay Kaynak,et al.  Discrete-time sliding mode control in the presence of system uncertainty , 1993 .

[17]  Daniel G. Sbarbaro-Hofer,et al.  An adaptive sliding-mode controller for discrete nonlinear systems , 2000, IEEE Trans. Ind. Electron..

[18]  John Y. Hung,et al.  Variable structure control: a survey , 1993, IEEE Trans. Ind. Electron..

[19]  C.Y. Chan.  Discrete adaptive sliding-mode tracking controller , 1997, Autom..

[20]  Vadim I. Utkin,et al.  Adaptive sliding mode control in discrete-time systems , 1995, Autom..