参数不确定永磁同步电机混沌系统的有限时间稳定控制

唐传胜; 戴跃洪

doi:10.7498/aps.62.180504

摘要

针对含有参数不确定性的永磁同步电机混沌系统, 结合主动控制与有限时间稳定控制理论, 提出一种改进的主动有限时间稳定控制器. 该控制器不仅具有较强的鲁棒性, 而且可以通过调整终端吸引子比例系数, 有效地缩短系统的响应时间, 以提高系统的响应能力. 通过仿真实验, 验证了该控制器比传统的控制器的具有更强的鲁棒性和响应能力.

关键词:

A novel active finite-time stability controller is presented for permanent magnet synchronous motor chaotic system considering parameters uncertain. The controller combines with active control and finite-time stability theory. Adjusting the parameters of terminal attractor, this controller has not only strong robustness but also good responsiveness. Simulation results show that the proposed controller has superior performance than traditional one.

Keywords:

作者及机构信息

1.
电子科技大学机械电子工程学院, 成都 611731

基金项目: 国家科技重大专项(批准号:2009ZX04001)资助的课题.

Authors and contacts

1.
School of Mechatronics Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China

Funds: Project supported by the National Science and Technology Major Project of the Ministry of Science and Technology of China (Grant No. 2009ZX04001).

参考文献

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[2]	Hemati N 1994 IEEE Trans. Circuit. Syst.Ⅰ 41 40
[3]	Zhang B, Li Z, Mao Z Y, Pang M X 2001 Proceedings of the CSEE 21 13 (in Chinese) [张波, 李忠, 毛宗源, 庞敏熙 2001 中国电机工程学报 21 13]
[4]	Zhang B, Li Z, Mao Z Y, Pang M X 2001 Proceedings of the CSEE 21 40 (in Chinese) [张波, 李忠, 毛宗源, 庞敏熙 2001 中国电机工程学报 21 40]
[5]	Li Z, Park J B, Joo Y H, Zhang B, Chen G R 2001 IEEE Trans. Circuit. Syst. Ⅰ 49 383
[6]	Li Z, Zhang B, Mao Z Y 2002 Control Theory Appl. 19 53 (in Chinese) [李忠, 张波, 毛宗源 2002 控制理论与应用 19 53]
[7]	Li J, Ren H P 2005 Control Theory Appl. 22 637 (in Chinese) [李洁, 任海鹏 2005 控制理论与应用 22 637]
[8]	Ren H P, Liu D, Li J 2003 Proceedings of the CSEE 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, Fang J Q, Wang B H 2006 Acta Phys. Sin. 55 5406 (in Chinese) [韦笃取, 罗晓曙, 方锦清, 汪秉宏 2006 物理学报 55 5406]
[10]	Wei D Q, Luo X S, Wang B H, Fang J Q 2007 Phys. Lett. A 363 71
[11]	Wu Z Q, Tan F X 2006 Proceedings of the CSEE 26 159 (in Chinese) [吴忠强, 谭拂晓 2006 中国电机工程学报 26 159]
[12]	Yang G L, Li H G 2009 Acta Phys. Sin. 58 7552 (in Chinese) [杨国良, 李惠光 2009 物理学报 58 7552]
[13]	Wei D Q, Zhang B, Qiu D Y, Luo X S 2009 Acta Phys. Sin. 58 6026 (in Chinese) [韦笃取, 张波, 丘东元, 罗晓曙 2009 物理学报 58 6026]
[14]	Li D, Zhang X H, Yang D, Wang S L 2009 Acta Phys. Sin. 58 1432 (in Chinese) [李东, 张小洪, 杨丹, 王世龙 2009 物理学报 58 1432]
[15]	Wu Z Q 2003 Proceedings of the CSEE 23 152 (in Chinese) [吴忠强 2003 中国电机工程学报 23 152]
[16]	Ding S H, Li S H 2011 Control and Decision 26 161 (in Chinese) [丁世宏, 李世华 2011 控制与决策 26 161]
[17]	Yang S F, Cao J D, Lu J Q 2012 Chaos 22 04134
[18]	Yang X S, Cao J D 2010 Appl. Math. Model. 34 3631
[19]	Wang H, Han Z Z, Xie Q Y, Zhang W 2009 Nonlinear Dyn. 55 323
[20]	Wei D Q, Zhang B 2009 2012 Chin. Phys. 18 1399
[21]	Zhao J L, Wang J, Wang H 2012 Acta Phys. Sin. 61 110209 (in Chinese) [赵建利, 王京, 王慧 2012 物理学报 61 110209]
[22]	Gao T G, Chen Z Q, Chen G R, Yuan Z Z 2006 Chin. Phys. 15 1190
[23]	Du H B, Li S H, Qian C J 2011 IEEE Trans. Automat. Contr. 56 2711
[24]	Zhao D, Li S, Zhu Q, Gao F 2010 IET Control Theory Appl. 4 1
[25]	Cai G L, Huang J J 2006 Acta Phys. Sin. 55 3997 (in Chinese) [蔡国梁, 黄娟娟 2006 物理学报 55 3997]
[26]	Guo H J, Liu D, Zhao G Z 2011 Acta Phys. Sin. 60 010510 (in Chinese) [郭会军, 刘丁, 赵光宙 2011 物理学报 60 010510]
[27]	Hong Y G, Yang G W, Bushnell L, Wang H O 2000 Proceeding of the 39th IEEE Conference on Decision and Control Sydney, December 12-15, 2000 p2908
[28]	Bhat S P, Bemstein D S 2000 SIAM J. Contr. Optimizat. 38 751

施引文献

[1]	Chau K T, Wang Z, Cheng M 2009 Chaotic Drives and Their Applications (Beijing: Science Press) p2 (in Chinese) [邹国堂, 王政, 程明 2009 混沌电机驱动及其应用 (北京: 科学出版社) 第2页]
[2]	Hemati N 1994 IEEE Trans. Circuit. Syst.Ⅰ 41 40
[3]	Zhang B, Li Z, Mao Z Y, Pang M X 2001 Proceedings of the CSEE 21 13 (in Chinese) [张波, 李忠, 毛宗源, 庞敏熙 2001 中国电机工程学报 21 13]
[4]	Zhang B, Li Z, Mao Z Y, Pang M X 2001 Proceedings of the CSEE 21 40 (in Chinese) [张波, 李忠, 毛宗源, 庞敏熙 2001 中国电机工程学报 21 40]
[5]	Li Z, Park J B, Joo Y H, Zhang B, Chen G R 2001 IEEE Trans. Circuit. Syst. Ⅰ 49 383
[6]	Li Z, Zhang B, Mao Z Y 2002 Control Theory Appl. 19 53 (in Chinese) [李忠, 张波, 毛宗源 2002 控制理论与应用 19 53]
[7]	Li J, Ren H P 2005 Control Theory Appl. 22 637 (in Chinese) [李洁, 任海鹏 2005 控制理论与应用 22 637]
[8]	Ren H P, Liu D, Li J 2003 Proceedings of the CSEE 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, Fang J Q, Wang B H 2006 Acta Phys. Sin. 55 5406 (in Chinese) [韦笃取, 罗晓曙, 方锦清, 汪秉宏 2006 物理学报 55 5406]
[10]	Wei D Q, Luo X S, Wang B H, Fang J Q 2007 Phys. Lett. A 363 71
[11]	Wu Z Q, Tan F X 2006 Proceedings of the CSEE 26 159 (in Chinese) [吴忠强, 谭拂晓 2006 中国电机工程学报 26 159]
[12]	Yang G L, Li H G 2009 Acta Phys. Sin. 58 7552 (in Chinese) [杨国良, 李惠光 2009 物理学报 58 7552]
[13]	Wei D Q, Zhang B, Qiu D Y, Luo X S 2009 Acta Phys. Sin. 58 6026 (in Chinese) [韦笃取, 张波, 丘东元, 罗晓曙 2009 物理学报 58 6026]
[14]	Li D, Zhang X H, Yang D, Wang S L 2009 Acta Phys. Sin. 58 1432 (in Chinese) [李东, 张小洪, 杨丹, 王世龙 2009 物理学报 58 1432]
[15]	Wu Z Q 2003 Proceedings of the CSEE 23 152 (in Chinese) [吴忠强 2003 中国电机工程学报 23 152]
[16]	Ding S H, Li S H 2011 Control and Decision 26 161 (in Chinese) [丁世宏, 李世华 2011 控制与决策 26 161]
[17]	Yang S F, Cao J D, Lu J Q 2012 Chaos 22 04134
[18]	Yang X S, Cao J D 2010 Appl. Math. Model. 34 3631
[19]	Wang H, Han Z Z, Xie Q Y, Zhang W 2009 Nonlinear Dyn. 55 323
[20]	Wei D Q, Zhang B 2009 2012 Chin. Phys. 18 1399
[21]	Zhao J L, Wang J, Wang H 2012 Acta Phys. Sin. 61 110209 (in Chinese) [赵建利, 王京, 王慧 2012 物理学报 61 110209]
[22]	Gao T G, Chen Z Q, Chen G R, Yuan Z Z 2006 Chin. Phys. 15 1190
[23]	Du H B, Li S H, Qian C J 2011 IEEE Trans. Automat. Contr. 56 2711
[24]	Zhao D, Li S, Zhu Q, Gao F 2010 IET Control Theory Appl. 4 1
[25]	Cai G L, Huang J J 2006 Acta Phys. Sin. 55 3997 (in Chinese) [蔡国梁, 黄娟娟 2006 物理学报 55 3997]
[26]	Guo H J, Liu D, Zhao G Z 2011 Acta Phys. Sin. 60 010510 (in Chinese) [郭会军, 刘丁, 赵光宙 2011 物理学报 60 010510]
[27]	Hong Y G, Yang G W, Bushnell L, Wang H O 2000 Proceeding of the 39th IEEE Conference on Decision and Control Sydney, December 12-15, 2000 p2908
[28]	Bhat S P, Bemstein D S 2000 SIAM J. Contr. Optimizat. 38 751

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