基于扩张状态观测器的永磁同步电机混沌系统自适应滑模控制

陈强; 南余荣; 邢科新

doi:10.7498/aps.63.220506

摘要

针对部分状态不可测的永磁同步电机混沌系统, 结合自适应滑模控制和扩张状态观测器理论, 提出一种基于扩张状态观测器的永磁同步电机自适应混沌控制方法, 取消了系统所有状态完全可测的限制. 通过坐标变换, 将永磁同步电机混沌模型变为更适宜控制器设计的Brunovsky标准形式. 在系统部分状态和非线性不确定项上界均未知的情况下, 基于扩张状态观测器估计系统未知状态及不确定项, 并设计自适应滑模控制器, 保证系统状态快速稳定收敛至零点. 仿真结果表明, 该控制器能够改善滑模控制的抖振问题以及提高系统鲁棒性.

关键词:

Abstract

An adaptive sliding-mode control scheme based on extended state observer (ESO) is proposed for permanent magnet synchronous motor (PMSM) chaotic system with some immesureable states. The adaptive sliding-mode control and extended state observer theory are combined in the developed controller, and thus the restriction that all the states in the PMSM should be completely measured is canceled. Through a simple coordinate transformation, the PMSM chaotic model is transformed into a Brunovsky canonical form, which is more suitable for the sliding-mode controller design. In the presence of unknown states and upper bound of nonlinear uncertainty, the ESO is employed to estimate the unknown states and the nonlinear uncertainty. Then, the adaptive sliding-mode controller is designed to ensure that the system states can converge to zero rapidly and stably. Simulation results show that the proposed controller can improve the chattering problem of the sliding-mode control and enhance the robustness of the system.

Keywords:

作者及机构信息

1.
浙江工业大学信息工程学院, 杭州 310023

基金项目: 国家自然科学基金(批准号:61403343,61202203)、浙江省自然科学基金(批准号:LZ12E07003,LY12F01023)和浙江省教育厅自然科学基金(批准号:Y201329260)资助的课题.

Authors and contacts

1.
College of Information Engineering, Zhejiang University of Technology, Hangzhou 310023, China

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 61403343, 61202203), the Natural Science Foundation of Zhejiang Province, China (Grant Nos. LZ12E07003, LY12F01023), and the Scientific Research Foundation of the Education Department of Zhejiang Province, China (Grant No. Y201329260).

参考文献

[1]	Pillay P, Krishnan R 1989 IEEE Trans. Ind. Appl. 25 265
[2]	Ooshima M, Chiba A 2004 IEEE Trans. Energy Convers. 19 569
[3]	Na J, Chen Q, Ren X M, Guo Y 2014 IEEE Trans. Ind. Electr. 61 486
[4]	Jing Z, Yu C, Chen G 2004 Chaos, Soliton. Fract. 22 831
[5]	Zhang B, Li Z, Mao Z Y 2002 Contr. Theory Appl. 19 841 (in Chinese) [张波, 李忠, 毛宗源 2002 控制理论与应用 19 841]
[6]	Zhang J M, Wang K J 2007 Proc. Chin. Soc. Elec. Eng. 27 7 (in Chinese) [张建民, 王科俊 2007 中国电机工程学报 27 7]
[7]	Chen Q, Ren X M 2010 Acta Phys. Sin. 59 2310 (in Chinese) [陈强, 任雪梅 2010 59 2310]
[8]	Ren H P, Liu D, Li J 2003 Proc. Chin. Soc. Electr. Eng. 23 175 (in Chinese) [任海鹏, 刘丁, 李洁 2003 中国电机工程学报 23 175]
[9]	Wei D Q, Luo X S, Wang B H, Fang J Q 2006 Acta Phys. Sin. 55 54 (in Chinese) [韦笃取, 罗晓曙, 汪秉宏, 方锦清 2006 55 54]
[10]	Harb A 2004 Chaos Soliton. Fract. 19 1217
[11]	Wei D Q, Luo X S, Wang B H, Fang J Q 2007 Phys. Lett. A 363 71
[12]	Loria A 2009 IEEE Trans. Circuit. Syst. I 56 2109
[13]	Li C L, Yu S M 2011 Acta Phys. Sin. 60 120505 (in Chinese) [李春来, 禹思敏 2011 60 120505]
[14]	Mohammad A, Arash K, Behzad G 2010 Phys. Lett. A 374 4226
[15]	Li D, Yang D, Zhang X H, Wang S L 2009 Acta Phys. Sin. 58 1432 (in Chinese) [李东, 杨丹, 张小洪, 王时龙 2009 58 1432]
[16]	Chen Q, Ren X M, Na J 2011 Chaos Soliton. Fract. 44 1080
[17]	Wei D Q, Zhang B 2009 Chin. Phys. B 18 1399
[18]	Tang C S, Dai Y H 2013 Acta Phys. Sin. 62 180504 (in Chinese) [唐传胜, 戴跃洪 2013 62 180504]
[19]	Yang G L, Li H G 2009 Acta Phys. Sin. 58 7552 (in Chinese) [杨国良, 李惠光 2009 58 7552]
[20]	Liu J K, Sun F C 2007 Control Theory Appl. 24 407 (in Chinese) [刘金琨, 孙富春 2007 控制理论与应用 24 407]
[21]	Feng Y, Yu X H, Han F L 2013 IEEE Trans. Ind. Electr. 60 4272
[22]	Li S H, Zhou M M, Yu X H 2013 IEEE Trans. Ind. Inform. 9 1879
[23]	Frank P, Yuri S, Vincent B, Alexander P 2013 Contr. Eng. Pract. 21 679
[24]	Hou L M, Zhang H G, Liu X C, Chu E H, Wang Q 2010 Control and Decision 25 686 (in Chinese) [侯利民, 张化光, 刘秀翀, 褚恩辉, 王强 2010 控制与决策 25 686]
[25]	Chen Q, Yu L, Nan Y R 2013 J. Syst. Sci. Complex. 26 940
[26]	Han J Q 2008 Active Disturbance Rejection Control Technique-the Techique for Estimating and Compensating the Uncertainties (Bejing: National Defense Industry Press) (in Chinese) [韩京清 2008 自抗扰控制技术——估计补偿不确定因素的控制技术 (北京: 国防工业出版社)]
[27]	Li S H, Kai Z, Liu H X 2011 Trans. Institute of Measurement and Control 33 522
[28]	Li S H, Yang J, Chen W H, Chen X S 2012 IEEE Trans. Ind. Electr. 59 4792
[29]	Zhao J L, Wang J, Wei W 2011 Acta Phys. Sin. 60 100203 (in Chinese) [赵建利, 王京, 魏伟 2011 60 100203]
[30]	Xia Y Q, Fu M Y, Deng Z H, Ren X M 2013 Control Theory and Applications 30 137 [夏元清, 付梦印, 邓志红, 任雪梅 2013 控制理论与应用 30 137]

施引文献

[1]	Pillay P, Krishnan R 1989 IEEE Trans. Ind. Appl. 25 265
[2]	Ooshima M, Chiba A 2004 IEEE Trans. Energy Convers. 19 569
[3]	Na J, Chen Q, Ren X M, Guo Y 2014 IEEE Trans. Ind. Electr. 61 486
[4]	Jing Z, Yu C, Chen G 2004 Chaos, Soliton. Fract. 22 831
[5]	Zhang B, Li Z, Mao Z Y 2002 Contr. Theory Appl. 19 841 (in Chinese) [张波, 李忠, 毛宗源 2002 控制理论与应用 19 841]
[6]	Zhang J M, Wang K J 2007 Proc. Chin. Soc. Elec. Eng. 27 7 (in Chinese) [张建民, 王科俊 2007 中国电机工程学报 27 7]
[7]	Chen Q, Ren X M 2010 Acta Phys. Sin. 59 2310 (in Chinese) [陈强, 任雪梅 2010 59 2310]
[8]	Ren H P, Liu D, Li J 2003 Proc. Chin. Soc. Electr. Eng. 23 175 (in Chinese) [任海鹏, 刘丁, 李洁 2003 中国电机工程学报 23 175]
[9]	Wei D Q, Luo X S, Wang B H, Fang J Q 2006 Acta Phys. Sin. 55 54 (in Chinese) [韦笃取, 罗晓曙, 汪秉宏, 方锦清 2006 55 54]
[10]	Harb A 2004 Chaos Soliton. Fract. 19 1217
[11]	Wei D Q, Luo X S, Wang B H, Fang J Q 2007 Phys. Lett. A 363 71
[12]	Loria A 2009 IEEE Trans. Circuit. Syst. I 56 2109
[13]	Li C L, Yu S M 2011 Acta Phys. Sin. 60 120505 (in Chinese) [李春来, 禹思敏 2011 60 120505]
[14]	Mohammad A, Arash K, Behzad G 2010 Phys. Lett. A 374 4226
[15]	Li D, Yang D, Zhang X H, Wang S L 2009 Acta Phys. Sin. 58 1432 (in Chinese) [李东, 杨丹, 张小洪, 王时龙 2009 58 1432]
[16]	Chen Q, Ren X M, Na J 2011 Chaos Soliton. Fract. 44 1080
[17]	Wei D Q, Zhang B 2009 Chin. Phys. B 18 1399
[18]	Tang C S, Dai Y H 2013 Acta Phys. Sin. 62 180504 (in Chinese) [唐传胜, 戴跃洪 2013 62 180504]
[19]	Yang G L, Li H G 2009 Acta Phys. Sin. 58 7552 (in Chinese) [杨国良, 李惠光 2009 58 7552]
[20]	Liu J K, Sun F C 2007 Control Theory Appl. 24 407 (in Chinese) [刘金琨, 孙富春 2007 控制理论与应用 24 407]
[21]	Feng Y, Yu X H, Han F L 2013 IEEE Trans. Ind. Electr. 60 4272
[22]	Li S H, Zhou M M, Yu X H 2013 IEEE Trans. Ind. Inform. 9 1879
[23]	Frank P, Yuri S, Vincent B, Alexander P 2013 Contr. Eng. Pract. 21 679
[24]	Hou L M, Zhang H G, Liu X C, Chu E H, Wang Q 2010 Control and Decision 25 686 (in Chinese) [侯利民, 张化光, 刘秀翀, 褚恩辉, 王强 2010 控制与决策 25 686]
[25]	Chen Q, Yu L, Nan Y R 2013 J. Syst. Sci. Complex. 26 940
[26]	Han J Q 2008 Active Disturbance Rejection Control Technique-the Techique for Estimating and Compensating the Uncertainties (Bejing: National Defense Industry Press) (in Chinese) [韩京清 2008 自抗扰控制技术——估计补偿不确定因素的控制技术 (北京: 国防工业出版社)]
[27]	Li S H, Kai Z, Liu H X 2011 Trans. Institute of Measurement and Control 33 522
[28]	Li S H, Yang J, Chen W H, Chen X S 2012 IEEE Trans. Ind. Electr. 59 4792
[29]	Zhao J L, Wang J, Wei W 2011 Acta Phys. Sin. 60 100203 (in Chinese) [赵建利, 王京, 魏伟 2011 60 100203]
[30]	Xia Y Q, Fu M Y, Deng Z H, Ren X M 2013 Control Theory and Applications 30 137 [夏元清, 付梦印, 邓志红, 任雪梅 2013 控制理论与应用 30 137]

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