Observer-based controller design of time-delay systems with an interval time-varying delay

Thuan, Mai Viet, Phat, Vu Ngoc and Trinh, Hieu 2012, Observer-based controller design of time-delay systems with an interval time-varying delay, International journal of applied mathematics and computer science, vol. 22, no. 4, pp. 921-927.

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Title Observer-based controller design of time-delay systems with an interval time-varying delay
Author(s) Thuan, Mai Viet
Phat, Vu Ngoc
Trinh, Hieu
Journal name International journal of applied mathematics and computer science
Volume number 22
Issue number 4
Start page 921
End page 927
Total pages 7
Publisher University of Zielona Gora and Lubuskie Scientific Society
Place of publication Zielona Gora, Poland
Publication date 2012-12
ISSN 1641-876X
Keyword(s) observer-based feedback control
interval time-varying delay
linear matrix inequalities
Lyapunov–Krasovskii functionals
exponential stability
Summary This paper considers the problem of designing an observer-based output feedback controller to exponentially stabilize a class of linear systems with an interval time-varying delay in the state vector. The delay is assumed to vary within an interval with known lower and upper bounds. The time-varying delay is not required to be differentiable, nor should its lower bound be zero. By constructing a set of Lyapunov–Krasovskii functionals and utilizing the Newton–Leibniz formula, a delay-dependent stabilizability condition which is expressed in terms of Linear Matrix Inequalities (LMIs) is derived to ensure the closed-loop system is exponentially stable with a prescribed α-convergence rate. The design of an observerbased output feedback controller can be carried out in a systematic and computationally efficient manner via the use of an LMI-based algorithm. A numerical example is given to illustrate the design procedure.
Language eng
Field of Research 090602 Control Systems, Robotics and Automation
010203 Calculus of Variations, Systems Theory and Control Theory
010204 Dynamical Systems in Applications
Socio Economic Objective 970109 Expanding Knowledge in Engineering
HERDC Research category C1 Refereed article in a scholarly journal
Persistent URL http://hdl.handle.net/10536/DRO/DU:30051072

Document type: Journal Article
Collection: School of Engineering
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