一类不确定时滞切换系统的鲁棒保性能控制

Robust Guaranteed Cost Control for a Class of Uncertain Time Delay Switched Systems

研究一类范数有且时变参数的不确定时滞切换系统的保性能控制，其系统矩阵和输入矩阵均含有时变不确定性。基于公共利亚普诺夫函数，导出其在任意切换下，系统的二次稳定保成本控制存在的充分条件，并将之表示为线性矩阵不等式的可行解的问题。最后，仿真算例表明了结论的有效性。

For a class of time delay uncertain switched system with norm-bounded time-varying parameter uncertainty,this paper addressed the problem of the guaranteed cost state feedback control.The system not only contain disturbance them selves,but also experience uncertainties in the input channels.Based on the common Lyapunov function method,several sufficient conditions of existence about the quadratic stable guaranteed cost control law of the uncertain switched system were derived and the sufficient condition were equivalently expressed as the solvability of the linear matrix inequalities （LMIs）.After all,The numerical simulation results show the effectiveness of the method.