不确定奇异系统的Terminal滑模控制

Journal of Systems Engineering and Electronics ›› 2010, Vol. 32 ›› Issue (1): 158-161.

不确定奇异系统的Terminal滑模控制

樊仲光1,3，梁家荣2，肖剑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；3. 河池学院教师教育学院，广西宜州 546300 ）

出版日期:2010-01-23 发布日期:2010-01-03

Terminal sliding mode control for uncertain singular systems

FAN Zhong-guang1,3, LIANG Jia-rong2, XIAO Jian1

(1. School of Mathematics and Information Science， Guangxi Univ.， Nanning 530004，China；2. School of Computer and Electronic Information Science， Guangxi Univ.， Nanning 530004，China；3. School of Teacher Education，Hechi Univ.， Yizhou 546300， China )

Online:2010-01-23 Published:2010-01-03

摘要/Abstract

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。

Abstract:

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 hypersurface 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.

樊仲光1,3，梁家荣2，肖剑1. 不确定奇异系统的Terminal滑模控制[J]. Journal of Systems Engineering and Electronics, 2010, 32(1): 158-161.

FAN Zhong-guang1,3, LIANG Jia-rong2, XIAO Jian1. Terminal sliding mode control for uncertain singular systems[J]. Journal of Systems Engineering and Electronics, 2010, 32(1): 158-161.