一类不确定时滞模糊系统的保性能可靠控制

Reliable Guaranteed Cost Controller for a Class of Uncertain Fuzzy Control Systems with Time Delay

针对一类不确定时滞模糊系统,研究了执行器故障情况下的状态反馈保性能可靠控制问题。首先,在不确定时滞系统的T-S模糊模型的基础上,设计了状态反馈控制器;然后,选取保性能指标和构造Lyapunov函数,给出系统存在保性能可靠控制器的充分条件,并以线性矩阵不等式的形式表达。通过求解LMI方程就可以得到状态反馈保性能可靠控制器。采用所设计的保性能可靠控制器,当任意执行器出现故障时,闭环系统仍保持渐近稳定且保持原有的性能指标。

Reliable guaranteed cost controller design for uncertain fuzzy control Systems with time delay and actuator faults was studied. First, based on T-S fuzzy model of uncertain system with time delay, controller of state feedback was given. Then, by choosing guarantee performance index and constructing Lyapunov function, a sufficient condition of reliable guaranteed cost controller was presented and expressed in terms of LMI Through the solving of LMI function, reliable guaranteed cost controller of state feedback was presented Using the state feedback controller designed, the closed loop systems can still keep asymptotically stable and guarantee performance index prescribed when any actuator failures occurred.