An observer for linear time-delay systems

Busawon, Krishna, Jones, R. and Tham, M. (2003) An observer for linear time-delay systems. In: IASTED International Conference on Modelling Identification and Control. ACTA Press, pp. 34-39.

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Abstract

In this paper, we propose an observer design for a class of single-output linear systems with known time-delay in the state. First, we introduce a new concept of asymptotic stability for linear time delay systems called the (α, r)-stability. This automatically ensures that the underlying system is stable in the Krasovskii sense which in turn guaranty that the system is asymptotically stable. The observer design is then based on the specific choice of the observer gain such that the corresponding error dynamics is (α, r)-stable. An example is provided to illustrate the design methodology.

Item Type:	Book Section
Uncontrolled Keywords:	(α,r)-stability, estimation, krasovskii-stability, linear systems, time-delay
Subjects:	H600 Electronic and Electrical Engineering
Department:	Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Depositing User:	Becky Skoyles
Date Deposited:	05 Feb 2015 11:16
Last Modified:	12 Oct 2019 19:05
URI:	http://nrl.northumbria.ac.uk/id/eprint/19715

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