不确定奇异系统的Terminal滑模控制  

Terminal sliding mode control for uncertain singular systems

作　　者：樊仲光[1,2] 梁家荣[3] 肖剑[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]河池学院教师教育学院,广西宜州546300 [3]广西大学计算机与电子信息学院,广西南宁530004

出　　处：《系统工程与电子技术》2010年第1期158-161,共4页Systems Engineering and Electronics

基　　金：国家自然科学基金(60564001);教育部"新世纪优秀人才支持计划"基金(NCET-06-0756)资助课题

摘　　要：针对一类不确定奇异系统,研究其Terminal滑模控制问题。通过非奇异线性变换把不确定奇异系统变换成受限等价形式,利用Lyapunov函数方法,首次提出了一种新的Terminal滑模控制策略,给出了特殊的Terminal滑模超曲面,设计了相应的滑模控制器,实现了滑模运动,保证了系统状态变量在有限时间内收敛到平衡点。给出数值算例,说明了方法的有效性。Terminal sliding mode control for a class of uncertain singular systems is studied. Uncertain singular systems are transformed into the form of restricted equivalence by a nonsingular linear transformation. By the method of Lyapunov function, a new terminal sliding mode control strategy based on the form of restricted equivalence is proposed for the first time, and the hypersurfaee of a special terminal sliding mode is given. A terminal sliding mode controller is designed correspondingly such that the motion of sliding mode can be guaranteed and the systems state variables can converge to the equilibrium point in a finite time. Finally, a numerical example is presented to illustrate the validity of the approach.

关 键 词：不确定奇异系统 TERMINAL滑模控制 受限等价 有限时间收敛 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]