一类不确定切换系统的鲁棒保成本控制

研究了一类不确定切换系统的鲁棒保成本控制问题.将状态矩阵和控制输入矩阵中同时含有未知、有界不确定性的一类切换系统转化为动态区间系统.利用线性矩阵不等式技术,给出了在任意切换策略下,不确定切换系统稳定的充分条件,且使得二次型成本函数具有较小上界.此方法把确定多个矩阵不等式解的复杂问题简化为求解一个LMI的问题,大大减少了计算量,同时具有较小的保守性.仿真结果表明该方法的有效性.

Robust Guaranteed Cost Control for a Class of Uncertain Switched Systems

Guaranteed cost control problem for a class of uncertain switched systems is studied.The class of switched systems,unknown-but-bounded parameters contained in both stated matrix and input matrix,are transformed into dynamic interval systems.A sufficient condition is presented in terms of matrix inequality for stability of switched systems under arbitrary switching laws,and a lower upper bound for a quadratic cost function is produced.By using this method,the complex problem of determining the solution of matrix inequalities is simplified to that of solving only one matrix inequality.The method is of lower conservatism and the amount of calculation reduces greatly.The simulation result shows the validity of the designed method.