Abstract
This paper investigates the problem of designing a robust $$\mathcal{H}_\infty$$ state feedback plus state-derivative feedback control mechanism for a class of uncertain nonlinear markovian jump systems with time varying delay described by a Takagi-Sugeno (T-S) fuzzy model. The linear matrix inequalities (LMIs) 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 $$\mathcal{H}_\infty$$ performance index values. Finally, to illustrate the effectiveness of the design developed in this paper, a numerical example is also provided.
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