Optimal guaranteed cost control of 2-D discrete uncertain systems: An LMI approach

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:
2007

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Abstract

This paper addresses the problem of the optimal guaranteed cost control for a class of two-dimensional (2-D) discrete systems described by the Fornasini-Marchesini second local state-space (FMSLSS) model with norm-bounded uncertainties. A linear matrix inequality (LMI)-based new criterion for the existence of a state feedback controller which guarantees not only the asymptotic stability of the closed-loop system, but also an adequate performance bound over all the possible parameter uncertainties is established. Furthermore, a convex optimization problem with LMI constraints is formulated to design the optimal guaranteed cost controller which minimizes the upper bound of the closed-loop cost function.