TITLE:
Robust Suboptimal Guaranteed Cost Control for 2-D Discrete Systems Described by Fornasini-Marchesini First Model
AUTHORS:
Manish Tiwari, Amit Dhawan
KEYWORDS:
Guaranteed Cost Control; Linear Matrix Inequality; Lyapunov Methods; Robust Stability; 2-D Discrete Systems; Uncertain Systems
JOURNAL NAME:
Journal of Signal and Information Processing,
Vol.3 No.2,
May
30,
2012
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.