Delay-Dependent Static Output Feedback Control for Singular Time-delay Systems
- https://doi.org/10.2991/iske.2007.188How to use a DOI?
- Singular systems, Time-delay, Output feedback, Linear matrix inequality (LMI)
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.
- © 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/).
Cite this article
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 - https://doi.org/10.2991/iske.2007.188 ID - Wang2007/10 ER -