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.
出处
《系统工程与电子技术》
EI
CSCD
北大核心
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
