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2012 (Vol. 4, Issue: 14)
Article Information:

Stability of Retarded/Neutral System with State-PID Feedback Using Lienard-Chipart Stability Criterion

W. Wiboonjaroen and S. Sujitjorn
Corresponding Author:  S. Sujitjorn 

Key words:  Retarded/neutral system, state-PID feedback, stability and stabilization, lienard-chipart stability criterion, , ,
Vol. 4 , (14): 2265-2272
Submitted Accepted Published
March 23, 2012 April 08, 2012 July 15, 2012

A retarded/neutral system is sensitive to instability due to delay. A knowledge of maximum allowable delay (τ) or tolerable delay is thus useful for controller design and stabilization. This article proposes a method to compute a tolerable delay time for a Linear-Time-Invariant-Time-Delayed-System (LTITDS) with state-PID feedback control. The method proposed is based-on Lienard-Chipart criterion, which reduces the number of determinants to be evaluated. The proposed approach is compared with the matrix pencil method. Three case studies serve to demonstrate the effectiveness of the method.
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  Cite this Reference:
W. Wiboonjaroen and S. Sujitjorn, 2012. Stability of Retarded/Neutral System with State-PID Feedback Using Lienard-Chipart Stability Criterion.  Research Journal of Applied Sciences, Engineering and Technology, 4(14): 2265-2272.
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ISSN (Online):  2040-7467
ISSN (Print):   2040-7459
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