Fault-Tolerant Control of Nonlinear Systems With Actuator and Sensor Faults Based on T–S Fuzzy Model and Fuzzy Observer
针对T-S模糊模型逼近的非线性系统，通过将传感器故障视为状态的一部分，设计比例积分观测器同时重构传感器和执行器故障，并基于估计信息提出容错控制方案，利用线性矩阵不等式和模糊Lyapunov函数方法保证闭环系统稳定性。
In this work, we study simultaneous reconstructions of sensor fault and actuator fault, as well as fault-tolerant control (FTC) for nonlinear systems approximated by the T–S fuzzy model. By making the sensor fault as part of the state, a rectangular singular system is firstly given, based on which, a proportional-integral observer (PIO) is synthesized to realize the reconstructions of sensor and actuator faults simultaneously. With the support of these estimation information, an FTC scheme is well provided to maintain the stability of the closed-loop system even in the occurrence of faults. Furthermore, by resorting to linear matrix inequalities (LMIs), the stability criteria are formulated via the fuzzy Lyapunov function method. Finally, the performance of the theoretical result is verified through two real dynamics.