Stability design of TS model based fuzzy systems

An approach for designing Takagi-Sugeno (TS) model based fuzzy systems (1985) using output feedback with guaranteed closed-loop stability is proposed in this paper. The complex process on finding a common Lyapunov function to guarantee the system stability can be omitted. This can significantly simplify the design procedure. Moreover the overall closed-loop system behaves like a linear system and the system responses can be designed by properly choosing the coefficients of the closed-loop transfer function. An illustrative example will be given to demonstrate the ability of the proposed approach.