LMI-based criterion for the robust guaranteed cost control of 2-D systems described by the Fornasini-Marchesini second 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:
2007

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Abstract

This paper considers the problem of the 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. An improved linear matrix inequality (LMI)-based criterion for the existence of robust guaranteed cost controller is established. Such controllers render the closed-loop system asymptotically stable for all admissible uncertainties and guarantee an adequate level of performance.