New robust and optimal designs for Takagi-Sugeno fuzzy control systems

Presents a robust and optimal fuzzy control. The optimal fuzzy controller is designed by solving the minimization problem that minimizes the upper bound of a given quadratic performance index. Next, robust stability conditions for a class of uncertain fuzzy systems are derived. The robust fuzzy controller is designed so as to maximize the norm of the uncertain blocks in a Takagi-Sugeno fuzzy model. More importantly, the control problem that simultaneously considers both the optimal fuzzy controller design and the robust fuzzy controller design is defined and is efficiently solved via convex optimization techniques based on LMIs.