Delay-Dependent H∞ Control for 2-D State-Delayed Systems

Abstract Considering a class of two-dimensional (2-D) local state-space (LSS) Fornasini-Marchesini (FM) second model with delays in the states, this paper studies delay-dependent H ∞ control problem. First, we propose delay-dependent bounded real lemma. Then a dynamic output feedback controller is developed, which assures that the closed-loop system is asymptotically stable and has H ∞ performance γ in terms of linear matrix inequalities’ (LMIs') feasibility. Furthermore, the minimum H Infin; performance γ can be obtained by solving a linear convex optimization problem. A numerical example demonstrates the effectiveness of our results.

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