A low-order linear functional observer for time delay systems
Ha, Q. P., Trinh, Hieu and Dissanayake, G. 2004, A low-order linear functional observer for time delay systems, in ASCC 2004 : Proceedings of the 5th Asian Control Conference, ASCC, Melbourne, Vic., pp. 947-955.
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ASCC 2004 : Proceedings of the 5th Asian Control Conference
Editor(s)
Cantoni, Michael
Publication date
2004
Conference series
Asian Control Conference
Start page
947
End page
955
Publisher
ASCC
Place of publication
Melbourne, Vic.
Summary
This paper presents an efficient technique to design low order state function observers for linear time-delay systems. Assuming the existence of a linear state feedback controller to achieve stability or some control performance criteria of the time-delay system, a design procedure is proposed for reconstruction of the state feedback control action. The procedure involves solving an optimisation problem with the objective to generate a matrix that is as close as possible to the given feedback gain of the required feedback controller. A condition for robust stability of the time-delay system using the observer-based control scheme is given. The attractive features of the proposed design procedure are that the resulted linear functional state observer is of a very low order and it requires information of a small number of outputs. Numerical examples are given to demonstrate the design procedure and its merits.
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