TITLE:
LMI Approach to Suboptimal Guaranteed Cost Control for 2-D Discrete Uncertain Systems
AUTHORS:
Amit Dhawan, Haranath Kar
KEYWORDS:
Linear Matrix Inequality, Lyapunov Methods, Robust Stability, 2-D Discrete Systems, Uncertain Systems, Fornasini-Marchesini Second Local State-Space Model
JOURNAL NAME:
Journal of Signal and Information Processing,
Vol.2 No.4,
November
16,
2011
ABSTRACT: This paper studies the problem of the guaranteed cost control via static-state feedback controllers 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 convex optimization problem with linear matrix inequality (LMI) constraints is formulated to design the suboptimal guaranteed cost controller which ensures the quadratic stability of the closed-loop system and minimizes the associated closed-loop cost function. Application of the proposed controller design method is illustrated with the help of one example.