H∞H∞ fuzzy state-feedback control design for nonlinear systems with D-stability constraints: An LMI approach

This paper considers the problem of designing an H∞H∞ fuzzy controller for a class of nonlinear systems with pole placement constraints. Based on an LMI approach, we develop a state-feedback controller that guarantees the L2-gain of the mapping from the exogenous input noise to the regulated output is less than some prescribed value and the closed-loop system is D-stable. Numerical examples are provided to illustrate the design developed in this paper.