LAPSE:2023.36729
Published Article
LAPSE:2023.36729
Hybrid Dynamical Modeling and Control of Permanent Magnet Synchronous Motors: Hardware-in-the-Loop Verification
September 21, 2023
The stabilization of a permanent magnet synchronous motor using digital controllers requires the design of both the feedback law and an appropriate sampling frequency. Moreover, the design approach must be robust against existing uncertainties, such as disturbances and parameter variations. In this paper, we develop a stabilizing state feedback nonlinear control scheme for the permanent magnet synchronous motor. Moreover, we consider the case where the feedback signal is transmitted over a digital platform, and we derive the stabilizing sampling frequency, such that the stability of the closed-loop system is maintained. We design the controller by emulation, where the closed-loop stability is first established in continuous time; we then take into account the effect of sampling. The feedback law consists of two parts: feedback linearization and robust linear quadratic regulator for the linearized mode. The robustness is achieved by augmenting the state space model, with additional states representing the tracking errors of the motor speed and the motor current. Then, to cope with sampling, we estimate the maximally allowable sampling interval to reduce the sampling frequency while preserving the closed-loop stability. The overall system is modeled as a hybrid dynamical system, which allows handling both the continuous-time and discrete-time dynamics. The effectiveness of the proposed technique is illustrated by simulation and verified experimentally using a hardware-in-the-loop setup. Upon implementing the proposed approach, the obtained sampling interval was around 91 ms, making it suitable for digital implementation setups.
Keywords
electric vehicles, hybrid dynamical systems, permanent magnet synchronous motor, robust control, sampled-data systems
Suggested Citation
Elmorshedy MF, Almakhles D, Abdelrahim M. Hybrid Dynamical Modeling and Control of Permanent Magnet Synchronous Motors: Hardware-in-the-Loop Verification. (2023). LAPSE:2023.36729
Author Affiliations
Elmorshedy MF: Renewable Energy Laboratory, College of Engineering, Prince Sultan University, Riyadh 11586, Saudi Arabia; Electrical Power and Machines Engineering Department, Faculty of Engineering, Tanta University, Tanta 31521, Egypt [ORCID]
Almakhles D: Renewable Energy Laboratory, College of Engineering, Prince Sultan University, Riyadh 11586, Saudi Arabia [ORCID]
Abdelrahim M: Renewable Energy Laboratory, College of Engineering, Prince Sultan University, Riyadh 11586, Saudi Arabia; Department of Mechatronics Engineering, Faculty of Engineering, Assiut University, Assiut 71515, Egypt [ORCID]
Journal Name
Processes
Volume
11
Issue
8
First Page
2370
Year
2023
Publication Date
2023-08-07
Published Version
ISSN
2227-9717
Version Comments
Original Submission
Other Meta
PII: pr11082370, Publication Type: Journal Article
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LAPSE:2023.36729
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doi:10.3390/pr11082370
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Sep 21, 2023
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CC BY 4.0
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[v1] (Original Submission)
Sep 21, 2023
 
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Sep 21, 2023
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Original Submitter
Calvin Tsay
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