NDLI: Algebraic control of unstable delayed first order systems using RQ-meromorphic functions

Content Provider	IEEE Xplore Digital Library
Author	Pekar, L. Prokop, R. Matusu, R.
Copyright Year	2007
Description	Author affiliation: Tomas Bata Univ. in Zlin, Zlin (Pekar, L.; Prokop, R.; Matusu, R.)
Abstract	The paper is focused on control of first order unstable delayed systems. The control design is performed in the RMS ring of retarded quasipolynomial (RQ) meromorphic functions. Unstable systems are modeled in anisochronic philosophy as a ratio of quasipolynomials where also denominator contains delay terms. The goal is to find a suitable stable quasipolynomial as a common denominator of $R_{MS}$ terms. This task is equivalent to the stabilization of a plant by a proportional controller in a feedback loop. Then, the appropriate controller can be found. In this paper, an algebraic method based on the solution of the Bezout equation with Youla-Kucera parameterization is presented. Besides the simple feedback loop, significant improvement using two-degrees of freedom structure is demonstrated. The method offers a real positive real parameter $m_{0}$ which defines closed loop poles placement. The modified "equalization method" for determining of $m_{0}$ can be applied. An example illustrates the proposed methodology, properties and benchmarking of all principles.
Starting Page	1
Ending Page	6
File Size	253127
Page Count	6
File Format	PDF
ISBN	9781424412815
DOI	10.1109/MED.2007.4433754
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2007-06-27
Publisher Place	Greece
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Control design Delay systems Stabilization Transfer functions Control systems Equations Feedback loop Proportional control Stability criteria delayed systems Polynomials Informatics algebraic control design
Content Type	Text
Resource Type	Article

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