Proportional stabilization and closed-loop identification of an unstable fractional order process |
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| Affiliation: | 1. Faculty of Electrical Engineering, K.N. Toosi University of Technology, Tehran, Iran;2. Electrical Engineering Department, Sharif University of Technology, Tehran, Iran;1. Indian Institute of Technology Madras, Chennai 600036, India;2. Norwegian University of Science and Technology, Trondheim, Norway;1. School of Chemical Engineering, Universiti Sains Malaysia, Engineering Campus, 14300 Nibong Tebal, Pulau Pinang, Malaysia;2. Department of Chemical Engineering, Universitas Negeri Semarang, Kampus Sekaran, Gunungpati, 50229 Semarang, Indonesia;1. Department of Chemical and Materials Engineering, University of Alberta, Edmonton, AB T6G 2G6, Canada;2. Syncrude Canada Ltd., Fort McMurray, Alberta, Canada;1. Dynamic Systems Integration, Optimization, and Resilient Controls Group, Idaho National Laboratory, Idaho Falls, ID 83415-3570, USA;2. Eawag Process Engineering, Überlandstrasse 133, P.O. Box 611, 8600 Dübendorf, Switzerland |
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| Abstract: | This paper deals with proportional stabilization and closed-loop step response identification of the fractional order counterparts of the unstable first order plus dead time (FOPDT) processes. At first, the necessary and sufficient condition for stabilizability of such processes by proportional controllers is found. Then, by assuming that a process of this kind has been stabilized by a proportional controller and the step response data of the closed-loop system is available, an algorithm is proposed for estimating the order and the parameters of an unstable fractional order model by using the mentioned data. |
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| Keywords: | Unstable fractional order process Closed-loop identification Step response Stabilization |
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