广义系统的有限时间终端滑模控制  

Finite-time Terminal Sliding Mode Control for Singular Systems

作　　者：赵惟琦[1] 梁家荣[2] 李侠[1] 

机构地区：[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

出　　处：《广西师范大学学报（自然科学版）》2011年第4期73-78,共6页Journal of Guangxi Normal University:Natural Science Edition

基　　金：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)

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。In this paper,the finite-time terminal sliding mode control for a class ot singular systems ;s studied. The singular systems are transformed into restricted equivalent forms by a nonsingular linear transformation. Using the 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 system is 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 of the design.

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 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]