基于T-S模糊模型的观测器和动态输出反馈容错控制器设计

Design of Observer and Dynamic Output Feedback Fault Tolerant Controller Based on T-S Fuzzy Model

针对具有执行器故障和传感器故障的非线性系统,提出了一种基于T-S模型的观测器设计和动态输出反馈控制器设计方法。首先,将非线性系统转化为T-S模型,以此模型作为设计模型,利用扩展传感器故障为辅助状态向量的方式,将系统扩展为增维的T-S描述系统;然后,针对增维的T-S描述系统,设计模糊自适应观测器以达到对非线性系统的状态、执行器和传感器故障同时估计的目的;最后,基于观测器对传感器和执行器故障的估计,设计了一种动态输出反馈容错控制器以达到容错控制的目的,其中以线性矩阵不等式的方式给出了观测器和容错控制器存在的充分性条件。通过实例仿真验证了该文设计方法的有效性。

For the nonlinear systems with actuator and sensor faults, the design methodology of observer and dynamic output feedback controller based on T-S fuzzy model was discussed. Firstly, the nonlinear system was transformed into T-S fuzzy model. Then, taking the T-S fuzzy model as the design model, and extending the sensor faults to an auxiliary state to obtain an augmented T-S fuzzy descriptor system, a fuzzy adaptive observer was designed to achieve the simultaneous estimations of the states, the actuator faults and the sensor faults of the nonlinear system. In addition, the dynamic output feedback fault tolerant controller was designed to achieve the purpose of fault tolerance control based on the observer and estimate the sensor fault and actuator fault. Meanwhile, the sufficient conditions for the existence of the observer and fault tolerant controller were given in terms of the linear matrix inequalities. Finally, the effectiveness of the proposed methods was verified by a simulation example.