Delay-Dependent Static Output Feedback Control for Singular Time-delay Systems

DOI

10.2991/iske.2007.188How to use a DOI?

Keywords

Singular systems, Time-delay, Output feedback, Linear matrix inequality (LMI)

Abstract

This paper investigates the problem of static output feedback stabilization for a class of uncertain linear singular time-delay systems. Firstly, based on the stability criterion for the nominal singular time-delay system, a sufficient condition for the existence of the static output feedback controller in terms of linear matrix inequality (LMI) with linear matrix equality (LME) constraint is established, which ensures that the resulting closed-loop system is regular, impulse free and asymptotically stable. Then, by using matrix orthogonal complement, we furthermore formulate the LMI with LME constraint as a strict LMI without any constraints, and a parameterized representation of the static output feedback control law is given by the feasible solution of the LMI. Finally, a numerical example is presented to show the effectiveness of the proposed method.

Copyright

© 2007, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Cuihong Wang
AU  - Tianmin Huang
AU  - Rui Yang
AU  - Zhiyan Chang
PY  - 2007/10
DA  - 2007/10
TI  - Delay-Dependent Static Output Feedback Control for Singular Time-delay Systems
BT  - Proceedings of the 2007 International Conference on Intelligent Systems and Knowledge Engineering (ISKE 2007)
PB  - Atlantis Press
SP  - 1101
EP  - 1106
SN  - 1951-6851
UR  - https://doi.org/10.2991/iske.2007.188
DO  - 10.2991/iske.2007.188
ID  - Wang2007/10
ER  -