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一类切换线性系统的动态输出反馈H∞控制：LMIs方法

H_∞ Dynamic Output Feedback Stabilization for a Class of Switched Linear Systems:LMIs Approach
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摘要 研究一类由任意有限多个线性子系统组成的切换系统的动态输出反馈H∞控制问题.利用共同Lyapunov函数方法和凸组合技术,给出由矩阵不等式表示的控制器存在的充分条件,并设计了相应的子控制器和切换规则.采用消元法,将该矩阵不等式转化为一组线性矩阵不等式(LMIs).最后给出一个数值仿真实例证明结论的有效性. Dynamic output feedback H∞ control problem is investigated for a class of switched linear systems. Based on common Lyapunov function approaches and convex combinations techniques, a sufficient condition for the existence of sub-controllers is presented, which is in the form of matrix inequalities. Both sub-controllers and switching rule are designed. Then, using eliminated element method, the matrix inequalities are changed into linear matrix inequalities （LMIs）. Finally, a simulation example is employed to illustrate the validity of the results.
作者 付主木 吴庆涛 费树岷
机构地区 河南科技大学电子信息工程学院 东南大学自动化学院
出处 《数学的实践与认识》 CSCD 北大核心 2008年第2期70-77,共8页 Mathematics in Practice and Theory
基金 国家自然科学基金(60574006)资助项目 河南省科技发展计划项目(072300410210) 河南科技大学博大科研启动基金(09001237)
关键词 混杂系统 切换线性系统 动态输出反馈 H∞控制 线性矩阵不等式 hybrid systems switched linear systems dynamic output feedback H∞ control LMIs
分类号 TP13 [自动化与计算机技术—控制理论与控制工程]
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参考文献11

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数学的实践与认识
2008年 第2期

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