Control Synthesis of T-S Fuzzy Systems Based on a New Control Scheme

This paper studies the control synthesis problem of Takagi–Sugeno (T–S) fuzzy systems. By splitting the premise variable spaces and using the properties of fuzzy sets, a new control scheme is proposed based on a new class of fuzzy Lyapunov functions, and a convex condition for designing fuzzy controllers is given, where the new fuzzy Lyapunov functions and fuzzy controllers are constructed based on the split subspaces. In particular, some existing fuzzy Lyapunov functions and control schemes are special cases of the new Lyapunov function and control scheme, respectively. Numerical examples are given to illustrate the effectiveness of the proposed method.