Tuesday 28 June 2011

Wseas Transactions

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Transactions: INTERNATIONAL JOURNAL of MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES
Transactions ID Number: 17-114
Full Name: Roman Prokop
Position: Professor
Age: ON
Sex: Male
Address: Nad Stranemi 4511, 76005 Zlin
Country: CZECH REPUBLIC
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E-mail address: prokop@fai.utb.cz
Other E-mails: korbel@fai.utb.cz
Title of the Paper: A novel principle for relay-based autotuning
Authors as they appear in the Paper: Roman Prokop, Jiri Korbel, Ondrej Liska
Email addresses of all the authors: prokop@fai.utb.cz,korbel@fai.utb.cz,ondrej.liska@tuke.sk
Number of paper pages: 9
Abstract: This paper presents a new simple principle for aperiodic tuning of SISO controllers used in autotuning schemes. Autotuners represent a combination of relay feedback identification and some control design method. In this contribution, models with up to three parameters are estimated by means of a single asymmetrical relay experiment. Then a stable low order transfer function is identified. Subsequently, the controller is analytically derived from general solutions of Diophantine equations in the ring of proper and stable rational functions RPS. This approach enables to define a scalar positive parameter through a pole-placement root of the characteristic closed loop equation. A first order identification yields a PI-like controllers while a second order identification generates PID ones. The analytical simple rule is derived for aperiodic control response and the scalar tuning parameter m>0 is then tuned according to identified time constant of an approximated trans!
fer function.
Keywords: autotuning, algebraic control design, relay experiment, pole-placement problem
EXTENSION of the file: .doc
Special (Invited) Session: A novel principle for relay-based autotuning
Organizer of the Session: 655-209
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