The following information was submitted:
Transactions: INTERNATIONAL JOURNAL of MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES
Transactions ID Number: 19-432
Full Name: Libor Pekaø
Position: Assistant Professor
Age: ON
Sex: Male
Address: Nad Stránìmi 4511, Zlín
Country: CZECH REPUBLIC
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E-mail address: pekar@fai.utb.cz
Other E-mails: pekosek@centrum.cz
Title of the Paper: Stabilization of a delayed system by a proportional controller
Authors as they appear in the Paper: Libor Pekaø, Roman Prokop
Email addresses of all the authors: pekar@fai.utb.cz, prokop@fai.utb.cz
Number of paper pages: 9
Abstract: 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 is also presented. Stability bounds for the controller parameter are found an!
alytically through proven lemmas, propositions and theorems. Simulation examples clarify the obtained results.
Keywords: Stabilization, time-delay system, characteristic quasipolynomial, argument principle, Mikhaylov plot, loop shaping.
EXTENSION of the file: .doc
Special (Invited) Session: Non-delay parameter depending stability of a time-delay system
Organizer of the Session: 646-316
How Did you learn about congress: Radek Matusu, rmatusu@fai.utb.cz
IP ADDRESS: 195.178.89.205
