不确定广义非线性时变时滞系统的鲁棒容错控制

Robust fault tolerant control for a class of nonlinear descriptor system with uncertainties and time-varying delays

研究了一类具有不确定广义非线性时变时滞系统的鲁棒容错控制问题。采用T-S模糊模型对系统进行描述,在系统存在扰动和执行器失效情况下,设计了的状态反馈控制器,基于Lyapunov稳定性理论和LMI方法,给出了与时滞相关的系统稳定的充分条件,满足性能指标。通过引进自由加权矩阵来表述系统变量之间、Leibniz-Newton公式中的变量之间关系,这不仅避免了在处理Lyapunov泛函稳定性时的困难和盲目性,而且可以得到更小保守性的结果。仿真实例验证本文方法的有效性。

The problems of robust fault tolerant control are studied for a class of nonlinear lescriptor systems woth uncertainties and time - varying delays.The T - S fuzzy model is employed to represent a nonlinear system,for the actuator fault of systems with disturbance,the state feedback controller is designed.The sufficient conditions are obtained based on Lyapunov asymptotic stability theory and linear matrix inequality method, which are dependent on time delays and satisy the performance index of the system.The relationshop among the terms of the nonlinear system and the relationship among the terms in the Leibniz - Newton formula are expressed by introducing sone rfee weighting matrices.This treatment avoids difficulties and blindness in the handing of the Lyapunov function,and less conservative results are obtained.Simulation results demonstrate the effectiveness of the proposed approach.