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A new design of sliding mode control systems

Man, Zhihong, Khoo, Suiyang, Yu, Xinghuo, Miao, Chunyan, Jin, Jiong and Tay, Feisiang 2011, A new design of sliding mode control systems. In Fridman, Leonid, Iriarte, Rafael and Moreno, Jaime (ed), Sliding modes after the first decade of the 21st century : state of the art, Springer, Berlin, Germany, pp.151-167.

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Title A new design of sliding mode control systems
Author(s) Man, Zhihong
Khoo, Suiyang
Yu, Xinghuo
Miao, Chunyan
Jin, Jiong
Tay, Feisiang
Title of book Sliding modes after the first decade of the 21st century : state of the art
Editor(s) Fridman, Leonid
Iriarte, Rafael
Moreno, Jaime
Publication date 2011
Series Lecture notes in control and information sciences ; 412
Chapter number 5
Total chapters 21
Start page 151
End page 167
Total pages 17
Publisher Springer
Place of Publication Berlin, Germany
Keyword(s) sliding mode
closed-loop
control
Summary A new sliding mode control technique for a class of SISO dynamic systems is presented in this chapter. It is seen that the stability status of the closed-loop system is first checked, based on the approximation of the most recent information of the first-order derivative of the Lyapunov function of the closed-loop system, an intelligent sliding mode controller can then be designed with the following intelligent features: (i) If the closed-loop system is stable, the correction term in the controller will continuously adjust control signal to drive the closed-loop trajectory to reach the sliding mode surface in a finite time and the desired closed-loop dynamics with the zero-error convergence can then be achieved on the sliding mode surface. (ii) If, however, the closed-loop system is unstable, the correction term is capable of modifying the control signal to continuously reduce the value of the derivative of the Lyapunov function from the positive to the negative and then drives the closed-loop trajectory to reach the sliding mode surface and ensures that the desired closed-loop dynamics can be obtained on the sliding mode surface. The main advantages of this new sliding mode control technique over the conventional one are that no chattering occurs in the sliding mode control system because of the recursive learning control structure; the system uncertainties are embedded in the Lipschitz-like condition and thus, no priori information on the upper and/or the lower bounds of the unknown system parameters and uncertain system dynamics is required for the controller design; the zero-error convergence can be achieved after the closed-loop dynamics reaches the sliding mode surface and remains on it. The performance for controlling a third-order linear system is evaluated in the simulation section to show the effectiveness and efficiency of the new sliding mode control technique.
ISBN 3642221637
9783642221637
ISSN 0170-8643
Language eng
Field of Research 010203 Calculus of Variations, Systems Theory and Control Theory
Socio Economic Objective 970101 Expanding Knowledge in the Mathematical Sciences
HERDC Research category B1 Book chapter
Copyright notice ©2011, Springer-Verlag Berlin Heidelberg
Persistent URL http://hdl.handle.net/10536/DRO/DU:30043159

Document type: Book Chapter
Collection: School of Engineering
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