Technical communique: New bounded real lemma for discrete-time singular systems

Authors:
Gaomin Zhang;Yuanqing Xia;Peng Shi
Affiliations:
College of Mathematics and Computational Science, China University of Petroleum, Dongying 257061, China;Department of Automatic Control, Beijing Institute of Technology, Beijing 100081, China;Faculty of Advanced Technology, University of Glamorgan, Pontypridd CF37 1DL, UK
Venue:
Automatica (Journal of IFAC)
Year:
2008

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Abstract

In this paper, the problem of bounded real lemma for discrete-time singular system with strict matrix inequalities is investigated. It is proved that the bounded real lemma for discrete singular system can be described by a strict matrix inequality. The results lead to more tractable and reliable computation when applying them to design control systems.