H-infinity model reduction for uncertain switched linear discrete-time systems
Zhang, Lixian and Shi, Peng and Boukas, El-Kebir and Wang, Changhong (2008) H-infinity model reduction for uncertain switched linear discrete-time systems. Automatica, 44 (11). pp. 2944-2949. ISSN 0005-1098Full text for this resource is not available from the Research Repository.
In this paper, the problem of H∞ model reduction for switched linear discrete-time systems with polytopic uncertainties is investigated. A reduced-order switched model is constructed for a given robustly stable switched system, which has the same structural polytopic uncertainties as the original system, such that the resulting error system is robustly asymptotically stable and an H∞ error performance is guaranteed. A sufficient condition for the existence of the desired reduced-order model is derived and formulated in terms of a set of linear matrix inequalities. By solving the corresponding convex optimization problem in such existence condition, the vertex system of reduced-order model can be obtained, which also provides an H∞ gain for the error system between the original system and the reduced-order model. A numerical example is given to show the effectiveness and the potential of the proposed techniques.
|Uncontrolled Keywords:||ResPubID18739, ResPubID16147, model reduction, switched linear systems, polytopic uncertainty, h-infinity performance, linear matrix inequality (LMI)|
|Subjects:||Faculty/School/Research Centre/Department > Institute for Logistics and Supply Chain Management (ILSCM)
FOR Classification > 0199 Other Mathematical Sciences Information Systems
|Date Deposited:||17 Jun 2011 04:39|
|Last Modified:||01 May 2012 02:25|
|ePrint Statistics:||View download statistics for this item|
|Citations in Scopus:||40 - View on Scopus|
Repository staff only