一类时滞广义非线性系统H_∞可靠跟踪控制

Reliable H-infinity tracking control for a class of time-delay nonlinear singular systems

讨论一类Lipschitz时滞非线性广义系统的H∞可靠跟踪控制问题.分别给出了执行器失效和传感器失效两种模型下可靠控制器存在的充分条件,使得闭环系统正则无脉冲并且指数稳定,同时系统输出跟踪预先给定的可测参考模型的输出,且满足H∞性能指标,并利用线性矩阵不等式技巧给出了可靠控制器的设计方法.最后给出了一个数值例子,说明了本文所给出方法的有效性.

H-infinity reliable tracking control for a class of Lipschitz nonlinear singular systems with time-delay is studied. Considering both actuator failures and sensor failures, we give a sufficient condition for the closed-loop system to be regular, impulse-free and exponentially stable. Under this condition, the system output tracks the given reference model output and satisfies H-infinity performance requirements. The corresponding reliable controller is designed by means of linear matrix inequalities technique. An illustrative numerical example is presented to show the effectiveness of the proposed approach.