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Abstract
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Article Information:
Stabilization of State-derivative Feedback Control with Time Delay
Witchupong Wiboonjaroen and Sarawut Sujitjorn
Corresponding Author: Sarawut Sujitjorn
Submitted: December 23, 2011
Accepted: January 21, 2012
Published: September 15, 2012 |
Abstract:
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This study considers the problem of state-derivative feedback controller design via eigenvalue
assignment for LTI systems of linear Delay Differential Equations (DDEs) with a single delay. Unlike simple
LTI systems, the systems described by DDEs have an infinite eigenspectrum and it is not feasible to assign all
closed-loop eigenvalues. The paper proposes a method to assign a critical subset of them using an approach of
the matrix Lambert W function. The solution has an analytical form expressed in terms of the parameters of
the DDE. With the proposed method, one can extend a conventional eigenvalue assignment method for a
feedback controller to a delayed LTI system. A scheme including filtered state-derivative feedback is proposed
to overcome the destabilizing effect of feedback delays. Proofs of the proposed method and numerical examples
are presented.
Key words: Delay differential equation, eigenvalue assignment, feedback controller, lambert W function, neutral system, state-derivative feed back,
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Cite this Reference:
Witchupong Wiboonjaroen and Sarawut Sujitjorn, . Stabilization of State-derivative Feedback Control with Time Delay. Research Journal of Applied Sciences, Engineering and Technology, (18): 3201-3208.
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ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
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