State feedback $H^\infty$ controller design for fuzzy dynamic systems

This paper presents robust $H^\infty$ controller design for fuzzy dynamic systems with state feedback. Three kinds of controller design methods are proposed based on a quadratic Lyapunov function or a piecewise smooth quadratic Lyapunov function. The control laws are numerically tractable by using LMI techniques and the global stability with disturbance attenuation of the closed-loop fuzzy control system is established. An example is given to illustrate the application of the proposed method.