Title :
H∞ model reduction for positive 2-D discrete systems in roesser model
Author :
Wang, Cuihong ; Jia, Lin
Author_Institution :
Dept. of Math. & Comput. Sci., Shanxi Normal Univ., Linfen, China
Abstract :
In this paper, we are concerned with H∞ model reduction of 2-D discrete systems in Roesser model. For positive 2-D discrete systems, the aim is to construct a positive 2-D reduced-order system such that the error system satisfies a prescribed H∞ norm bound constraint. Based on a system augmentation approach, a new sufficient condition is proposed to ensure that the error system is stable and satisfies a prescribed H∞ norm. Then the existence condition of the reduced-order system matrixes are given and an corresponding iterative linear matrix inequality(LMI) algorithm is presented. Finally, a numerical example to illustrate the effectiveness of the proposed design procedures is presented.
Keywords :
discrete systems; iterative methods; linear matrix inequalities; reduced order systems; H∞ model reduction; H∞ norm bound constraint; LMI algorithm; Roesser model; error system; iterative linear matrix inequality algorithm; positive 2D discrete systems; positive 2D reduced order system; reduced order system matrices; sufficient condition; system augmentation approach; Asymptotic stability; Linear matrix inequalities; Mathematical model; Reduced order systems; Stability analysis; Symmetric matrices; Vectors; 2-D discrete systems; H∞ performance; linear matrix inequality (LMI); positive systems;
Conference_Titel :
Intelligent Control and Automation (WCICA), 2012 10th World Congress on
Conference_Location :
Beijing
Print_ISBN :
978-1-4673-1397-1
DOI :
10.1109/WCICA.2012.6358157
