基于模糊模型的非线性不确定时滞系统的H∞鲁棒容错控制

Robust tolerant control for nonlinear systems with uncertainties and time delays based on fuzzy models

研究了一类具有不确定时滞的非线性系统的H∞鲁棒容错控制问题.采用T-S模糊模型来描述非线性系统,并对执行器失效且具有扰动的情形,基于Lyapunov稳定性理论和LMI方法,给出了系统H∞鲁棒容错控制器存在的充分条件,保证了系统的鲁棒稳定性.仿真实例验证了本文提出方法的有效性.

The H-infinity robust tolerant control for nonlinear systems with uncertainties and time delays is studied. The Takagi-Sugeno（T-S） fuzzy model is employed to represent the nonlinear system. For the case of actuator fault and the existence of system disturbances, a sufficient condition for the existence of the H-infinity robust tolerant control law which guarantees robust stability of the system is given, based on the Lyapunov stability theory and the linear matrix inequality method. Simulation results show the effectiveness of the proposed approach.