Delta算子参数不确定时滞系统的可靠H_∞控制

Reliable H_∞ Control for Delta Operator Systems with Time-delay and Parameter Uncertainties

研究了Delta算子时滞系统的可靠H_∞控制,该系统含有范数有界不确定性和连续模型执行器故障,讨论了该系统的H_∞控制器的设计方法。根据Lyapunov稳定性理论,通过引入松弛变量矩阵,采用线性矩阵不等式的方法,给出了具有性能γ的H_∞控制器存在条件的线性矩阵不等式刻画,由此提出相应控制器的设计方法,通过数值算例验证了设计方法的可行性。

The aim is to design a reliable H∞ controller wThich makes the close-loop systems robust asymptotically stable for all admissible uncertainties and actuator failures. In the discussion,norm-bounded parameter uncertainties and actuator failures with continuous model are considered. Based on Lyapunov theory in delta domain and LMI method,a sufficient condition of existence of the controllers is presented in terms of linear matrix inequalities. A design method of the controllers is subsequently proposed. A numerical example is given to illustrate the availability and effectiveness of the method.