Fuzzy controller design for discrete controllability canonical Takagi-Sugeno fuzzy systems

The stability and controller design problem for a discrete Takagi-Sugeno type fuzzy model whose subsystems are controllability canonical forms is addressed. Based on discrete controllability canonical Takagi-Sugeno fuzzy systems, stability conditions and fuzzy controller design are derived by solving the inverse solutions of Lyapunov equations. A numerical example is used to verify the feasibility and applicability of proposed approach.