This paper investigates the problem of robust optimal H ∞ control for uncertain two-dimensional (2-D) discrete state-delayed systems described by the general model (GM) with norm-bounded uncertainties. A sufficient condition for the existence of g -suboptimal robust H ∞ state feedback controllers is established, based on linear matrix inequality (LMI) approach. Moreover, a convex optimization problem is developed to design a robust optimal state feedback controller which minimizes the H ∞ noise attenuation level of the resulting closed-loop system. Finally, two illustrative examples are given to demonstrate the effectiveness of the proposed method.
Keywords2-D Discrete SystemsGeneral ModelH<sub>∞</sub>ControlLinear Matrix InequalityState FeedbackUncertain System
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