一类非线性切换系统鲁棒 H∞可靠控制

摘要

To overcome the passive effect of disturbance and actuator failures for control systems,and make sys-tems 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 uncer-tainties and the systems contain external unknown nonlinear disturbance.When some actuators experience fail-ures,LMI(linear matrix inequality)technique and common Laypunov function method are adopted to design ro-bust suboptimal H∞ reliable controller to guarantee the systems globally quadratically stability and H∞ perform-ance 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.%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。