线性不确定时滞系统的鲁棒渐近跟踪控制器的设计

Robust Asymptotic Tracking Controller Design for Linear Systems with Uncertain Parameters and Unknown Delays

针对一类线性不确定时滞系统,采用线性矩阵不等式(LMI)的方法,提出了一种鲁棒渐近跟踪控制器设计的新方 法.所设计的控制器对于控制输入矩阵、状态输入矩阵和被控输出矩阵中都存在不确定性,且存在多个状态时滞的时滞系 统,均能使系统输出渐近跟踪外部阶跃参考信号.并从理论上证明了所设计的鲁棒渐近跟踪控制器的渐近稳定性.通过Mat lab仿真实验表明,对于这一类不确定时滞系统,所提出的方法是可行的,并达到满意的仿真结果.

Taking into consideration linear uncertain systems with delay, the paper proposes a new method of designing a robust asymptotic tracking controller by adopting the linear matrix inequality (LMI) approach. The designed controller is uncertain for control input matrix, state input matrix and controlled output matrix, and has some systems with delay with state delay, and all these make the output of the system approximate tracking external reference signals. For all allowable parameter variations and delays, the systems are internally stable and their outputs asymptotically track the command reference input. The asymptotic tracking is proofed by Lyapunov function. The results of Matlab simulation show that this approach is feasible.