摘要
针对一类线性切换广义系统,研究了其在任意切换策略下的保性能控制问题。结合一个二次型性能指标,利用单Lyapunov函数方法和线性矩阵不等式(LMI)技术,给出了状态反馈保性能控制器存在的一个充分条件,使得相应的闭环切换广义系统保持正则、稳定和无脉冲,且闭环性能指标值不超过某个确定上界。并进一步将保性能控制器的设计问题转化为线性矩阵不等式的可行解问题,使得控制器的设计更加简便,易于操作。这个条件可以通过Matlab的LMI工具箱求解,适合在工程中应用。数值仿真例子说明了该方法的有效性。
To a class of linear switched singular systems, the problem of guaranteed cost control under arbitrary switching laws is studied. Based on single Lyapunov function approach and linear matrix inequality technique, a sufficient condition on the existence of state-feedback guaranteed cost controller is derived. The obtained controller assures the closed-loop switched singular systems keep regular, impulse-free and stable, and an adequate level of a quadratic cost index can be guaranteed. This condition is turned into the solvability problem of a set of linear matrix inequalities and can be solved easily with MATLAB LMI toolbox. The simulation result shows the effectiveness of the proposed approach.
出处
《控制工程》
CSCD
北大核心
2010年第1期12-14,19,共4页
Control Engineering of China
基金
国家自然科学基金资助项目(10671011)
北京市教委重点学科共建基金资助项目(XK100080537)
