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.
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