广义系统的有限时间终端滑模控制

Journal of Guangxi Normal University(Natural Science Edition) ›› 2011, Vol. 29 ›› Issue (4): 73-78.

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Finite-time Terminal Sliding Mode Control for Singular Systems

ZHAO Wei-qi¹, LIANG Jia-rong², LI Xia¹

1.College of Mathematics and Information Science,Guangxi University,Nanning Guangxi 530004,China;
2.College of Computer Science and Electronic Information Science,Guangxi University,Nanning Guangxi 530004,China

Received:2011-05-19 Published:2018-11-16

Abstract

Abstract: In this paper,the finite-time terminal sliding modecontrol for a class of singular systems is studied.The singular systems are transformed into restricted equivalent forms by a nonsingular linear transformation.Usingthe method of Lyapunov function,a finite-time terminal sliding mode control strategy is proposed.A terminal sliding mode hypersurface and a controller are given correspondingly,such that the asymptotic stability of the closed-loop systemis guaranteed,and the motion of sliding mode is realized;simultaneously,the system state variables is converged to the equilibrium point in finite time.Finally,a numerical example is presented to illustrate the feasibility and effectiveness ofthe design.

Key words: singular systems, finite-time convergence, terminal sliding mode control, restricted equivalent, Lyapunov function

CLC Number:

TP13

ZHAO Wei-qi, LIANG Jia-rong, LI Xia. Finite-time Terminal Sliding Mode Control for Singular Systems[J].Journal of Guangxi Normal University(Natural Science Edition), 2011, 29(4): 73-78.

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