Kontaktujte nás | Jazyk: čeština English
Název: | Stabilization of a delayed system by a proportional controller | ||||||||||
Autor: | Pekař, Libor; Prokop, Roman | ||||||||||
Typ dokumentu: | Recenzovaný odborný článek (English) | ||||||||||
Zdrojový dok.: | International Journal of Mathematical Models and Methods in Applied Sciences. 2010, vol. 4, issue 4, p. 282-290 | ||||||||||
ISSN: | 1998-0140 (Sherpa/RoMEO, JCR) | ||||||||||
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Abstrakt: | Time-delay systems have been intensively studied for decades. Stability is one of the most important system dynamics properties and the task of stabilization is the main step of controller design. Closed loop characteristic equations of systems with input-output or internal delays contain quasipolynomials rather then polynomials. System poles determined by the solution of such equation have (in most cases) as the same meaning as for delay-free systems, thus they decide about system stability. The aim of this paper is to stabilize a selected system with internal delay by a proportional controller. The task can be equivalently formulated as a stabilization of a system with input-output delay. The analysis and derivations are based on the argument principle, i.e. on the Mikhaylov criterion, and on the required shape of the Mikhaylov plot. The analogy with the notions of the Nyquist criterion and the sensitivity function is also presented. Stability bounds for the controller parameter are found analytically through proven lemmas, propositions and theorems. Simulation examples clarify the obtained results. | ||||||||||
Plný text: | http://www.naun.org/main/NAUN/ijmmas/19-432.pdf | ||||||||||
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