Fault-tolerant Output Feedback Control for a Class of Multiple Input Fuzzy Bilinear Systems

Abstract

A fuzzy fault-tolerant control scheme is proposed for a class of multiple input fuzzy bilinear systems with unmeasurable states. First, a fuzzy detective observer is designed to detect the fault. Based on the developed detective observer, a fuzzy controller is proposed to guarantee the closed-loop system without faults is asymptotically stable. Then, a fuzzy adaptive diagnostic observer is designed to estimate the fault. At last, the fault estimation is used to fault accommodation and a fault- tolerant controller is designed. Based on Lyapunov stability, it is proved that the fault-tolerant controller ensures the closed-loop system with faults is asymptotically stable. An example is provided to show the effectiveness of the proposed method.

Keywords

• Fuzzy bilinear system
• Fuzzy fault-tolerant controller
• Fuzzy detective observer
• Fuzzy adaptive diagnostic observer
• Fault accommodation.