A novel robust $$H_{\infty }$$ H ∞ fuzzy state feedback plus state-derivative feedback controller design for nonlinear time-varying delay systems

Abstract

This paper investigates the problem of designing a robust $$H_{\infty }$$ state feedback plus state-derivative feedback control mechanism for a class of uncertain nonlinear time-varying delay systems described by a Takagi–Sugeno fuzzy model. A linear matrix inequality approach is applied to derive a robust controller for such a system. The proposed controller satisfies design requirements that ensure that the closed-loop system is asymptotically stable and meets pre-prescribed $$H_{\infty }$$ performance index values. Finally, the illustrative examples are simulated to illustrate the effectiveness of the proposed methodology.