针对一类不确定性不满足匹配条件的不确定线性系统,提出了考虑执行器故障的可靠跟踪控制器的设计方法。在更一般、更实际的执行器故障模型的基础上,根据区域极点配置理论,给出了系统输出信号渐近跟踪参考输入信号的可靠跟踪控制器存在的充分条件。通过求解线性矩阵不等式(LMI)完成状态反馈可靠控制器的设计,从而使系统的输出信号不仅能稳定地跟踪参考输入信号,而且能满足要求的动态特性。最后,利用仿真实例验证了本文设计方法的可行性。
For a class of uncertain linear systems with uncertainties which donot satisfy matching conditions, the design method for reliable tracking controller against actuator faults is presented. Based on a more practical and general fault model of the actuator, a sufficient condition about reliable tracking control is obtained by the region pole assignment theory. The design of state feedback reliable controllers can be achieved by the linear matrix inequality (LMI), thus making outputs of system tracking reference inputs reliable and meeting dynamic characteristics required. Finally, a simulation example illustrates the effectiveness of the method.