Reliable LQ fuzzy control for continuous-time nonlinear systems with actuator faults.
This paper deals with the reliable linear quadratic (LQ) fuzzy control problem for continuous-time nonlinear systems with actuator faults. The Takagi-Sugeno (T-S) fuzzy model is employed to represent a nonlinear system. By using multiple Lyapunov functions, an improved linear matrix inequality (LMI) method for the design of reliable LQ fuzzy controllers is investigated, which reduces the conservatism of using a single Lyapunov function. The different upper bounds on the LQ performance cost function for the normal and different actuator fault cases are provided. A suboptimal reliable LQ fuzzy controller is given by means of an LMI optimization procedure, which can not only guarantee the stability of the closed-loop overall fuzzy system for all cases, but also provide an optimized upper bound on a weighted average LQ performance cost function. Finally, numerical simulations on the chaotic Lorenz system are given to illustrate the application of the proposed design method.
School of Automation Science and Electrical Engineering, Beihang University (Beijing University of Aeronautics and Astronautics), Beijing 100083, PR China. huainingwu@163.com
Huai-Ning
HN
Wu
D000465:Algorithms; D001185:Artificial Intelligence; D004867:Equipment Design / Q000379:methods*; D004868:Equipment Failure; D019544:Equipment Failure Analysis / Q000379:methods*; D005246:Feedback; D017143:Fuzzy Logic; D017711:Nonlinear Dynamics; D011786:Quality Control