一类非线性切换系统鲁棒H∞可靠控制

为了克服扰动与执行器故障对控制系统的影响，使系统具有抗干扰性和可靠性，针对一类不确定非线性切换系统，研究了在任意切换规则下鲁棒H∞可靠控制问题．首先，系统所有矩阵同时含有参数不确定性，并且系统也存在未知非线性扰动．当执行器存在故障时，基于线性矩阵不等式技术以及公共李亚普诺夫函数方法得到鲁棒H∞可靠控制器，使切换系统在任意切换律下全局二次稳定并且满足H∞性能指标．最后，通过求解凸优化问题得到了鲁棒H∞最优可靠控制器．仿真结果表明控制器在任意切换规则下是可行和有效的．

ROBUST H∞ RELIABLE CONTROL FOR A CLASS OF NONLINEAR SWITCHED SYSTEMS

To overcome the passive effect of disturbance and actuator failures for control systems, and make systems anti - jamming and fault - tolerant, the problem of robust H∞ reliable control for uncertain nonlinear systems under arbitrary switching law is investigated. It is assumed that all of systems matrices contain parameter uncertainties and the systems contain external unknown nonlinear disturbance. When some actuators experience failures, LMI（ linear matrix inequality） technique and bust suboptimal H∞ reliable controller to guarantee common Laypunov function method are adopted to design rothe systems globally quadratically stability and H∞ performance for all arbitrary switching law. Finally, robust optimal H∞ reliable controller is obtained by solving a convex optimization problem. Simulation results illustrate that the feasibility and validity of the reliable controller under arbitrary switching law.