Fuzzy control system designs using redundancy of descriptor representation: a fuzzy Lyapunov function approach

This paper presents fuzzy control system designs using redundancy of descriptor representation. A wider class of Takagi-Sugeno fuzzy controllers using the redundancy is employed to derive stabilization conditions for both common Lyapunov functions and fuzzy Lyapunov functions. We show that the fuzzy Lyapunov function approach is less conservative than the common Lyapunov function approach. A design example also illustrates the utility of the fuzzy Lyapunov function approach using redundancy of descriptor representation.