Servo Robust Control of Uncertain Mechanical Systems: Application in a Compressor/PMSM System
High-speed Permanent Magnet Synchronous Motor (PMSM) systems have been widely used in industry and other fields for their advantages of having a simple structure, low processing cost and high efficiency. At present, the control precision of PMSM is required to be higher and higher, but it faces two...
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MDPI AG
2022-01-01
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| Series: | Actuators |
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| Online Access: | https://www.mdpi.com/2076-0825/11/2/42 |
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| author | Qiang Zhang Rongrong Yu Chenming Li Ye-Hwa Chen Jieying Gu |
| author_facet | Qiang Zhang Rongrong Yu Chenming Li Ye-Hwa Chen Jieying Gu |
| author_sort | Qiang Zhang |
| collection | DOAJ |
| description | High-speed Permanent Magnet Synchronous Motor (PMSM) systems have been widely used in industry and other fields for their advantages of having a simple structure, low processing cost and high efficiency. At present, the control precision of PMSM is required to be higher and higher, but it faces two major challenges. The first is that the PMSM system possesses (possibly fast) time-varying uncertainty. The second is that there exist nonlinear portions in the PMSM system, such as nonlinear elasticity, etc. To resolve these challenges, a novel performance measure <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mover accent="true"><mi>β</mi><mo stretchy="false">^</mo></mover></semantics></math></inline-formula> is introduced as a dynamic depiction of the constraint-following error, and a new robust control design is proposed based on <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mover accent="true"><mi>β</mi><mo stretchy="false">^</mo></mover></semantics></math></inline-formula>. While this control renders guaranteed performance regardless of uncertainty, an optimal design of a control parameter is further pursued. This inquiry is summed up as a semi-infinite constrained optimization problem. After the induction of the necessary condition, the candidate solutions can be identified. These are further screened by a sufficient condition, which results in the actual solution. To verify the effectiveness of the control design, the compressor powered by a super high-speed PMSM system is simulated, and its performance is discussed. |
| first_indexed | 2024-03-09T22:54:33Z |
| format | Article |
| id | doaj.art-c40c1035b6f54c669760585e6f5ac45c |
| institution | Directory Open Access Journal |
| issn | 2076-0825 |
| language | English |
| last_indexed | 2024-03-09T22:54:33Z |
| publishDate | 2022-01-01 |
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| record_format | Article |
| series | Actuators |
| spelling | doaj.art-c40c1035b6f54c669760585e6f5ac45c2023-11-23T18:13:23ZengMDPI AGActuators2076-08252022-01-011124210.3390/act11020042Servo Robust Control of Uncertain Mechanical Systems: Application in a Compressor/PMSM SystemQiang Zhang0Rongrong Yu1Chenming Li2Ye-Hwa Chen3Jieying Gu4College of Mechanical and Electronic Engineering, Shandong University of Science and Technology, Qingdao 266590, ChinaCollege of Mechanical and Electronic Engineering, Shandong University of Science and Technology, Qingdao 266590, ChinaCollege of Mechanical and Electronic Engineering, Shandong University of Science and Technology, Qingdao 266590, ChinaKey Laboratory of Road Construction Technology and Equipment of MOE, Chang’an University, Xi’an 710065, ChinaCollege of Mechanical and Electronic Engineering, Shandong University of Science and Technology, Qingdao 266590, ChinaHigh-speed Permanent Magnet Synchronous Motor (PMSM) systems have been widely used in industry and other fields for their advantages of having a simple structure, low processing cost and high efficiency. At present, the control precision of PMSM is required to be higher and higher, but it faces two major challenges. The first is that the PMSM system possesses (possibly fast) time-varying uncertainty. The second is that there exist nonlinear portions in the PMSM system, such as nonlinear elasticity, etc. To resolve these challenges, a novel performance measure <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mover accent="true"><mi>β</mi><mo stretchy="false">^</mo></mover></semantics></math></inline-formula> is introduced as a dynamic depiction of the constraint-following error, and a new robust control design is proposed based on <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mover accent="true"><mi>β</mi><mo stretchy="false">^</mo></mover></semantics></math></inline-formula>. While this control renders guaranteed performance regardless of uncertainty, an optimal design of a control parameter is further pursued. This inquiry is summed up as a semi-infinite constrained optimization problem. After the induction of the necessary condition, the candidate solutions can be identified. These are further screened by a sufficient condition, which results in the actual solution. To verify the effectiveness of the control design, the compressor powered by a super high-speed PMSM system is simulated, and its performance is discussed.https://www.mdpi.com/2076-0825/11/2/42compressor/PMSM systemrobust controloptimizationconstraintsshock absorbing |
| spellingShingle | Qiang Zhang Rongrong Yu Chenming Li Ye-Hwa Chen Jieying Gu Servo Robust Control of Uncertain Mechanical Systems: Application in a Compressor/PMSM System Actuators compressor/PMSM system robust control optimization constraints shock absorbing |
| title | Servo Robust Control of Uncertain Mechanical Systems: Application in a Compressor/PMSM System |
| title_full | Servo Robust Control of Uncertain Mechanical Systems: Application in a Compressor/PMSM System |
| title_fullStr | Servo Robust Control of Uncertain Mechanical Systems: Application in a Compressor/PMSM System |
| title_full_unstemmed | Servo Robust Control of Uncertain Mechanical Systems: Application in a Compressor/PMSM System |
| title_short | Servo Robust Control of Uncertain Mechanical Systems: Application in a Compressor/PMSM System |
| title_sort | servo robust control of uncertain mechanical systems application in a compressor pmsm system |
| topic | compressor/PMSM system robust control optimization constraints shock absorbing |
| url | https://www.mdpi.com/2076-0825/11/2/42 |
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