时变不确定切换广义系统的鲁棒最优保性能控制  

Robust Optimal Guaranteed Cost Control for Time-varying Uncertain Switched Singular Systems

作　　者：李春明 田学民[1] 

机构地区：[1]中国石油大学(华东)信息与控制工程学院,山东青岛266580

出　　处：《计算技术与自动化》2013年第1期1-5,共5页Computing Technology and Automation

基　　金：国家青年科学基金资助项目(51104175);山东省自然科学基金资助项目(ZR2011FM014)

摘　　要：针对一类时变参数不确定切换广义系统,对其鲁棒最优保性能控制问题进行研究,假定其中的时变不确定性项是范数有界的,但不需要满足匹配条件。通过构造广义Lyapunov函数和线性矩阵不等式方法,给出系统鲁棒最优保性能控制器存在的充分条件。进一步,建立一个具有线性矩阵不等式约束的凸优化问题,得到鲁棒最优保性能控制律及闭环性能指标上界。最后用示例说明该方法的有效性。This paper studies the problem of robust optimal guaranteed cost control for a class of time-varying uncertain switched singular systems. Suppose that the time-varying uncertain parameters are norm-bounded, but the matched condi- tions are not required to satisfy. A new sufficient condition of the existence of robust optimal guaranteed cost controllers is given for systems by constructing the generalized Lyaponov function and taking the linear matrix inequality approach. Fur- thermore, a convex optimization problem with linear matrix inequalities （LMIs） constraints is formulated. Robust optimal guaranteed cost control law and the minimization of the upper boundary of closed-loop performance index are obtained. Finally, a numerical example is given to show the potential of the proposed technique.

关 键 词：切换广义系统 时变不确定性 鲁棒最优保性能控制 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]