Abstract
For induction motors indirect field oriented control is a simple and highly reliable scheme which has become an industry standard. We have previously shown that, in speed regulation tasks with constant load torque and current fed machines, indirect field oriented control is globally asymptotically stable provided the motor rotor resistance is exactly known. It is well known that this parameter is subject to significant changes during the machine operation, hence the question of the robustness of this stability result remained to be established. In this paper we provide some answers to this question. First, we give necessary and sufficient conditions for uniqueness of the equilibrium point of the (nonlinear) closed loop, which interestingly enough allow for a 200% error in the rotor resistance estimate. Then, we give conditions on the motor and controller parameters, and the speed and rotor flux norm reference values that insure either global boundedness of all solutions, or (global or local) asymptotic stability or instability of the equilibrium. The analysis is carried out using classical Lyapunov stability theory and some basic input-output theory
Original language | English |
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Title of host publication | Proceedings of the 34th conference on Decision and Control - IEEE Control systems society |
Place of Publication | Piscataway, NJ, USA |
Publisher | IEEE |
Pages | 2139-2144 |
Volume | 3 |
ISBN (Print) | 0-7803-2685-7 |
DOIs | |
Publication status | Published - 14 Feb 1995 |
Event | 34th IEEE Conference on Decision and Control, CDC 1995 - New Orleans, United States Duration: 13 Dec 1995 → 15 Dec 1995 Conference number: 34 |
Publication series
Name | Proceedings IEEE Conference on Decision and Control |
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Publisher | IEEE |
Volume | 1995 |
ISSN (Print) | 0191-2216 |
Other
Other | 34th IEEE Conference on Decision and Control, CDC 1995 |
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Abbreviated title | CDC |
Country/Territory | United States |
City | New Orleans |
Period | 13/12/95 → 15/12/95 |