基于模糊模型的非线性时滞系统的H∞鲁棒容错控制

H_∞ Robust Tolerant Control for a Class of Nonlinear Systems with Time Delay Based on Fuzzy Models

研究了一类具有时滞的非线性连续系统的H∞鲁棒容错控制。采用具有时滞的T-S模糊模型,在系统存在执行器失效情况下,设计了状态反馈控制器。基于Lyapunov稳定性理论和LMI方法,给出了在执行器失效的情况下系统稳定的充分条件,保证系统的鲁棒渐近稳定。仿真实例验证了方法的有效性。

The problems of H∞ robust tolerant control for a class of nonlinear systems with state and time delay were studied. The T-S fuzzy model with time delay was adopted, for the actuator fault of systems, and the state feedback controllers was designed. A sufficient condition was given based on Lyapunov stability theory and linear matrix inequality （LMI） method, and it could guarantee robust asymptotically stable of system with actuator fault. Simulation results show the effectiveness of the proposed method.