Universal Journal of Electrical and Electronic Engineering Vol. 1(2), pp. 31 - 40
DOI: 10.13189/ujeee.2013.010204
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Observer-based Control for Time–varying Delay Systems with Delay-dependence

Pin-Lin Liu^*
Department of Automation Engineering Institute of Mechatronoptic System, Chienkuo Technology University, Changhua, 500, Taiwan

ABSTRACT

This paper is concerned with the problem of observer control of a class of time-varying delay systems with delayed measurements. By using information on delay derivative, improved asymptotic stability conditions for time-delay systems are presented. Unlike previous methods, upper bound of delay derivative is taken into consideration, even if this upper bound is larger than or equal to 1. We develop delay-dependent method for designing linear observer controllers, thus ensuring global uniform asymptotic stabilization for any time delay no larger than a given bound. Numerical examples are given to illustrate effectiveness and less conservatism of obtained stability conditions.

KEYWORDS
Observer controller, time-varying delay system, linear matrix inequality (LMI), integral inequality approach (IIA), maximum allowable delay bound (MADB)

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Pin-Lin Liu , "Observer-based Control for Time–varying Delay Systems with Delay-dependence," Universal Journal of Electrical and Electronic Engineering, Vol. 1, No. 2, pp. 31 - 40, 2013. DOI: 10.13189/ujeee.2013.010204.

(b). APA Format:
Pin-Lin Liu (2013). Observer-based Control for Time–varying Delay Systems with Delay-dependence. Universal Journal of Electrical and Electronic Engineering, 1(2), 31 - 40. DOI: 10.13189/ujeee.2013.010204.