广义系统的有限时间终端滑模控制

广西师范大学学报（自然科学版） ›› 2011, Vol. 29 ›› Issue (4): 73-78.

广义系统的有限时间终端滑模控制

赵惟琦¹, 梁家荣², 李侠¹

1.广西大学数学与信息科学学院,广西南宁530004;
2.广西大学计算机与电子信息学院,广西南宁530004

收稿日期:2011-05-19 发布日期:2018-11-16
通讯作者: 梁家荣(1966—),男,广西玉林人,广西大学教授,博导。E-mail:liangjr@gxu.edu.cn
基金资助:
国家自然科学基金资助项目(61064002);教育部“新世纪优秀人才支持计划”专项基金资助项目(NCET-06-0756);广西自然科学基金资助项目(2010GXNSFA013125)

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

摘要/Abstract

摘要： 本文研究了一类广义系统的有限时间终端滑模控制问题。通过非奇异的线性变换把广义系统变换成受限等价形式,利用Lyapunov函数的方法,提出一种有限时间终端滑模控制策略,给出了相应的终端滑模超曲面和控制器,使得闭环系统能渐近稳定,实现滑模运动,同时使得系统状态变量在滑模面上于有限时间内到达平衡点。最后,给出了数值算例,说明了设计的可行性和有效性。

关键词: 广义系统, 有限时间收敛, 终端滑模控制, 受限等价, Lyapunov函数

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

中图分类号:

TP13

赵惟琦, 梁家荣, 李侠. 广义系统的有限时间终端滑模控制[J]. 广西师范大学学报（自然科学版）, 2011, 29(4): 73-78.

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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