时变不确定系统鲁棒控制器设计的新方法  

New approach to robust controller design for time-varying uncertain systems

作　　者：陈珺[1] 刘飞[1] 

机构地区：[1]江南大学自动化研究所,江苏无锡214122

出　　处：《控制与决策》2009年第4期583-586,共4页Control and Decision

基　　金：国家自然科学基金项目(60574001);新世纪优秀人才支持计划项目(NCET-05-0485);江南大学创新团队发展计划项目

摘　　要：基于包含两个二次项的分段Lyapunov函数,研究了线性时变不确定系统的鲁棒控制器设计问题.所考虑的系统由两个矩阵的凸组合构成,通过引入一个附加矩阵,推导出鲁棒控制器存在的充分条件.该控制器的状态反馈增益的求解问题可以转化为一组带有两个比例参数的线性矩阵不等式的凸优化问题.最后的数值示例说明了该设计方法的可行性.By means of two-term piecewise quadratic Lyapunov functions, the problem of robust controller design for linear time-varying uncertain systems is investigated in this paper. The system under consideration involves the convex combination of two matrices. By introducing an additional slack matrix, a sufficient condition for the existence of robust controller is derived. And the solution of robust state feedback gain can be converted into a convex optimization problem in terms of a set of linear matrix inequalities （LMIs） with two scaling parameters. Finally, the numerical example illustrates the feasibility of the design procedure.

关 键 词：分段LYAPUNOV函数 鲁棒控制 线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]