【摘要】 研究了带有执行器故障的连续时间系统的可靠H∞控制问题,采用了一种更实际的执行器故障模型.给出了系统存在可靠H∞控制器的LM I形式的充分判据以及控制器的设计方法.所设计的可靠H∞控制器可以容忍一定的执行器故障,保证整个闭环系统是渐近稳定的且满足一定的H∞性能.进一步,为了降低闭环系统的H∞性能的保守性,提出了一个具有LM Is约束的凸优化方法.最后,通过一个仿真例子说明了所给设计方法的有效性.更多还原

【Abstract】 The reliable H∞ control problem for continuous-time linear systems with actuator failures is studied.A more practical model of actuator failures is adopted.A sufficient criterion for the existence of the reliable H∞ controller is derived in the linear matrix inequality(LMI) form,and a design procedure of such controllers is presented.The designed reliable H∞ controller can tolerate such failures and guarantee that the closed-loop systems are asymptotic stability with some H∞ performance.Furthermore,a convex optimal approach with LMIs constraints is formulated to decrease the conservation of H∞ cost of the closed-loop system.A numerical example is given to illustrate the effectiveness of our design method.更多还原