Variable structure systems with terminal sliding modes

In this chapter, we discuss recent developments in a special topic of Variable Structure Systems, namely, the terminal sliding mode control. Dynamic properties of the terminal sliding mode control systems are explored and their applications in single input single output (SISO) systems and multi input multi output (MIMO) systems are presented. Further improvements of the particular sliding mode control strategy are suggested.

[1]  Xinghuo Yu,et al.  Terminal sliding mode control design for uncertain dynamic systems , 1998 .

[2]  A. Zinober Variable Structure and Lyapunov Control , 1994 .

[3]  Frank L. Lewis,et al.  Control of Robot Manipulators , 1993 .

[4]  Xinghuo Yu,et al.  A Robust Adaptive Terminal Sliding Mode Control for Rigid Robotic Manipulators , 1999, J. Intell. Robotic Syst..

[5]  Zhihong Man,et al.  Tracking precision analysis of terminal sliding mode control systems with saturation functions , 2000 .

[6]  I. S. Gradshteyn,et al.  Table of Integrals, Series, and Products , 1976 .

[7]  Xinghuo Yu,et al.  Terminal sliding mode control of MIMO linear systems , 1997 .

[8]  Xinghuo Yu,et al.  Adaptive robust fast control for induction motors , 2000, IEEE Trans. Ind. Electron..

[9]  Xinghuo Yu,et al.  Adaptive Terminal Sliding Mode Tracking Control for Rigid Robotic Manipulators with Uncertain Dynamics. , 1997 .

[10]  Zhihong Man,et al.  Non-singular terminal sliding mode control and its application for robot manipulators , 2001, ISCAS 2001. The 2001 IEEE International Symposium on Circuits and Systems (Cat. No.01CH37196).

[11]  E. P. Ryan,et al.  Optimal Relay and Saturating Control System Synthesis , 1982 .

[12]  Weiping Li,et al.  Applied Nonlinear Control , 1991 .

[13]  A. Levant Sliding order and sliding accuracy in sliding mode control , 1993 .

[14]  Michail Zak,et al.  Terminal attractors in neural networks , 1989, Neural Networks.

[15]  V. Haimo Finite time controllers , 1986 .

[16]  A. T. Fuller Proof of the time-optimality of a predictive control strategy for systems of higher order , 1973 .

[17]  Zhihong Man,et al.  Multi-input uncertain linear systems with terminal sliding-mode control , 1998, Autom..

[18]  Hong Ren Wu,et al.  A robust MIMO terminal sliding mode control scheme for rigid robotic manipulators , 1994, IEEE Trans. Autom. Control..

[19]  Xinghuo Yu,et al.  Model reference adaptive control systems with terminal sliding modes , 1996 .

[20]  S. Bhat,et al.  Finite-time stability of homogeneous systems , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).

[21]  Vadim I. Utkin,et al.  Sliding Modes in Control and Optimization , 1992, Communications and Control Engineering Series.

[22]  Wen-Jun Cao,et al.  Synthesized sliding mode control of a single-link flexible robot , 2000 .

[23]  Xinghuo Yu,et al.  Self-tuning relay control design for MIMO systems with fast convergence , 2000 .

[24]  Antonella Ferrara,et al.  On second order sliding mode controllers , 1998 .

[25]  H. Sira-Ramírez Sliding regimes in general non-linear systems: a relative degree approach , 1989 .

[26]  A. Isidori Nonlinear Control Systems , 1985 .

[27]  M. Thoma,et al.  Variable Structure Systems, Sliding Mode and Nonlinear Control , 1999 .