An LMI approach to robust optimal guaranteed cost control of 2-D discrete systems described by the Roesser model

Authors:
Amit Dhawan;Haranath Kar
Affiliations:
Department of Electronics and Communication Engineering, Motilal Nehru National Institute of Technology, Allahabad 211004, India;Department of Electronics and Communication Engineering, Motilal Nehru National Institute of Technology, Allahabad 211004, India
Venue:
Signal Processing
Year:
2010

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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.