Table of Contents
ISRN Computational Mathematics
Volume 2012 (2012), Article ID 847178, 9 pages
http://dx.doi.org/10.5402/2012/847178
Research Article

Stability Analysis of 2D Discrete Linear System Described by the Fornasini-Marchesini Second Model with Actuator Saturation

1Department of Electrical Engineering, Motilal Nehru National Institute of Technology, Allahabad 211004, India
2Department of Electronics and Communication Engineering, Motilal Nehru National Institute of Technology, Allahabad 211004, India

Received 7 November 2011; Accepted 3 December 2011

Academic Editors: J. Buick, P. B. Vasconcelos, and Q.-W. Wang

Copyright © 2012 Richa Negi et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper proposes a novel antiwindup controller for 2D discrete linear systems with saturating controls in Fornasini-Marchesini second local state space (FMSLSS) setting. A Lyapunov-based method to design an antiwindup gain of 2D discrete systems with saturating controls is established. Stability conditions allowing the design of antiwindup loops, in both local and global contexts have been derived. Numerical examples are provided to illustrate the applicability of the proposed method.