Observer-based controller design of time-delay systems with an interval time-varying delay
Mai Viet Thuan ; Vu Ngoc Phat ; Hieu Trinh
International Journal of Applied Mathematics and Computer Science, Tome 22 (2012), p. 921-927 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2012-01-01
EUDML-ID : urn:eudml:doc:244531 
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     title = {Observer-based controller design of time-delay systems with an interval time-varying delay},
     journal = {International Journal of Applied Mathematics and Computer Science},
     volume = {22},
     year = {2012},
     pages = {921-927},
     zbl = {1283.93057},
     language = {en},
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Mai Viet Thuan; Vu Ngoc Phat; Hieu Trinh. Observer-based controller design of time-delay systems with an interval time-varying delay. International Journal of Applied Mathematics and Computer Science, Tome 22 (2012) pp. 921-927. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv22z4p921bwm/

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