Robust H ∞ static output‐feedback control for discrete‐time fuzzy systems with actuator saturation via fuzzy Lyapunov functions
Résumé
In this paper, we present a new scheme for designing a H∞ stabilizing controller for discrete-time Takagi-Sugeno fuzzy systems with actuator saturation and external disturbances. The weighting-dependent Lyapunov functions approach is used to design a robust static output-feedback controller. To address the input saturation problem, both constrained and saturated control input cases are considered. In both cases, stabilization conditions of the fuzzy system are formulated as a convex optimization problem in terms of linear matrix inequalities. Two simulation examples are included to illustrate the effectiveness of the proposed design methods. A comparison with the results given in recent literature on the subject is also presented.