Abstract
The optimal guaranteed cost control problem via static-state feedback controller is addressed in this paper for a class of two-dimensional (2-D) discrete systems described by the Roesser model with norm-bounded uncertainties and a given quadratic cost function. A novel linear matrix inequality (LMI) based criterion for the existence of guaranteed cost controller is established. Furthermore, a convex optimization problem with LMI constraints is formulated to select the optimal guaranteed cost controller which minimizes the guaranteed cost of the closed-loop uncertain system.
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