Intelligent control of uncertain switched nonlinear plants: NFG optimum control synthesis via switched fuzzy time-delay systems

Abstract

A solution to the design of intelligent, optimum guaranteed-cost and robust, control for a class of uncertain switched nonlinear systems via switched fuzzy models possessing time delays and uncertainties has been developed. Following the approach via multiple Lyapunov of Lurie-type functions, a non-fragile state feedback controller and a switching law are designed such that the closed-loop system is asymptotically stable and the guaranteed cost function possesses an upper bound. Then an optimization problem of the non-fragile guaranteed cost control is solved. The considered optimum non-fragile guaranteed-cost control problem asymptotic stability of subsystems is not assumed, nonetheless the overall system is guaranteed asymptotically stable. Numerical and simulation results for an illustrative example are presented to demonstrate the feasibility and effectiveness of the proposed intelligent control design. © Springer International Publishing AG, part of Springer Nature 2018.