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Design of Unknown Input Observer for Linear Time-delay Systems

Yan-Ming Fu, Guang-Ren Duan, and Shen-Min Song
International Journal of Control, Automation, and Systems, vol. 2, no. 4, pp.530-535, 2004

Abstract : This paper deals with the unknown input observer (UIO) design problem for a class of linear time-delay systems. A case in which the observer error can completely be decoupled from an unknown input is treated. Necessary and sufficient conditions for the existences of such observers are present. Based on Lyapunov stability theory, thedesign of the observer with internal delay is formulated in terms of linear matrix inequalities (LMI). The design of the observer without internal delay is turned into a stabilization problem in linear systems. Two design algorithms of UIO are proposed. The effect of the proposed approach is illustrated by two numerical examples.

Keyword : Linear matrix inequalities, Lyapunov stability, stabilization, time-delay systems, unknown input observer.

 
 
 
 
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