Robust Suboptimal Guaranteed Cost Control for 2-D Discrete Systems Described by Fornasini-Marchesini First Model

Manish Tiwari, Amit Dhawan

Electronics and Communication Engineering Department, Motilal Nehru National Institute of Technology, Allahabad, India..

DOI: 10.4236/jsip.2012.32034                

Abstract

This paper considers the guaranteed cost control problem for a class of two-dimensional (2-D) uncertain discrete systems described by the Fornasini-Marchesini (FM) first model with norm-bounded uncertainties. New linear matrix inequality (LMI) based characterizations are presented for the existence of static-state feedback guaranteed cost controller which guarantees not only the asymptotic stability of closed loop systems, but also an adequate performance bound over all the admissible parameter uncertainties. Moreover, a convex optimization problem is formulated to select the suboptimal guaranteed cost controller which minimizes the upper bound of the closed-loop cost function.

Keywords

Guaranteed Cost Control; Linear Matrix Inequality; Lyapunov Methods; Robust Stability; 2-D Discrete Systems; Uncertain Systems

Conflicts of Interest

The authors declare no conflicts of interest.

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