Please use this identifier to cite or link to this item: http://hdl.handle.net/2440/118338
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Type: Journal article
Title: Two equivalent sets: application to singular systems
Author: Feng, Z.
Shi, P.
Citation: Automatica, 2017; 77:198-205
Publisher: Elsevier
Issue Date: 2017
ISSN: 0005-1098
1873-2836
Statement of
Responsibility: 
Zhiguang Feng, Peng Shi
Abstract: In this paper, we consider the problem of state feedback control design for continuous singular systems by applying equivalent sets technique. A new formulation of dissipativity condition is proposed. Based on this condition, the desired state feedback controller is designed such that the closed-loop system is admissible and dissipative. For singular Markovian systems, necessary and sufficient conditions are proposed for the system to be admissible and for the state feedback control design. For time-delay singular Markovian systems, a new bounded real lemma is proposed and the corresponding H∞ control problem is studied. Numerical examples are given to illustrate the effectiveness of the theoretic results developed.
Keywords: Admissibility; singular systems; time-delay systems
Rights: © 2016 Elsevier Ltd. All rights reserved.
RMID: 0030074912
DOI: 10.1016/j.automatica.2016.11.035
Grant ID: http://purl.org/au-research/grants/arc/DP140102180
http://purl.org/au-research/grants/arc/LP140100471
Appears in Collections:Electrical and Electronic Engineering publications

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