Have a personal or library account? Click to login
Observer-based controller design of time-delay systems with an interval time-varying delay Cover

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

Open Access
|Dec 2012

Abstract

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.

DOI: https://doi.org/10.2478/v10006-012-0068-8 | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X
Language: English
Page range: 921 - 927
Published on: Dec 28, 2012
Published by: Sciendo
In partnership with: Paradigm Publishing Services
Publication frequency: 4 times per year

© 2012 Mai Viet Thuan, Vu Ngoc Phat, Hieu Trinh, published by Sciendo
This work is licensed under the Creative Commons License.