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In this paper, targeting the permanent magnet synchronous motor chaotic system, we consider the system influenced by uncertain factors. We use the method of the exact feedback linearization which is based on differential geometry theory to establish the nonlinear robust control model and design the robust controller for realizing the robust stabilization and output tracking control of the permanent magnet synchronous motor chaotic system. Numerical simulation results demonstrate the effectiveness of the proposed method and the robustness of the controller.
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Keywords:
- robust control /
- chaos /
- exact feedback linearization /
- uncertain factors
[1] Zhang B, Li Z, Mao Z Y 2002 Control Theory Appl. 19 841 (in Chinese) [张波, 李忠, 毛宗源 2002 控制理论与应用 19 841]
[2] Tan W, Wang Y N, Huang C X, Wu X D 2009 Computer Engineering and Application 45 220 (in Chinese) [谭文, 王耀南, 黄创霞, 伍雪冬 2009 计算机工程与应用 45 220]
[3] Wu Z Q, Tan F X 2006 Proc. CSEE 26 159 (in Chinese) [吴忠强, 谭拂晓 2006 中国电机工程学报 26 159]
[4] Ren H P, Liu D 2006 IEEE Trans. Circuits System-II. 53 45
[5] Li J, Ren H P 2005 Control Theory & Applications 22 637 (in Chinese) [李洁, 任海鹏 2005 控制理论与应用 22 637]
[6] Meng Z J, Sun C Z, An Y J, Gao J W, Gao P 2007 Proceeding of International Conference on Electrical Machines and Systems Seoul, Korea October 8-11 2007 p1748
[7] Yin P Q, Yu L, Nan Y R, Zheng K 2006 Proceedings of the CSEE 26 143 (in Chinese) [殷培强, 俞立, 南余荣, 郑科 2006 中国电机工程学报 26 143]
[8] Shen T L 1996 H_∞ Control Theory and Application (Beijing: Tsinghua University Press) (in Chinese) [申铁龙 1996 H_∞ 控制理论及其应用 (北京: 清华大学出版社)]
[9] Lin L, Huang S R 2009 Electr. Mach. Control 13 541 (in Chinese) [林立, 黄苏融 2009 电机与控制学报 13 541]
[10] Zhang X H, Ding S G 2009 Control Theory & Applications 26 661 (in Chinese) [张兴华, 丁守刚 2009 控制理论与应用 26 661]
[11] Du R H, Wu Y F, Chen W, Chen Q W 2013 Information and Control 42 132 (in Chinese) [杜仁慧, 吴益飞, 陈威, 陈庆伟 2013 信息与控制 42 132]
[12] Ji Z C, Li S D, Shen Y X 2005 Control and Decision 20 329 (in Chinese) [纪志成, 李三东, 沈艳霞 2005 控制与决策 20 329]
[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] Tang C S, Dai Y H 2013 Acta Phys. Sin. 62 180504 (in Chinese) [唐传胜, 戴跃洪 2013 62 180504]
[15] Van C N, Riccardo M, Gilney D 2012 IEEE Conference on Decision and Control Maui, Hawaii, USA December 10-13, 2012 p3564
[16] Xue W, Guo Y L, Chen Z Q 2009 Acta Phys. Sin. 58 8146 (in Chinese) [薛薇, 郭彦岭, 陈增强 2009 58 8146]
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[1] Zhang B, Li Z, Mao Z Y 2002 Control Theory Appl. 19 841 (in Chinese) [张波, 李忠, 毛宗源 2002 控制理论与应用 19 841]
[2] Tan W, Wang Y N, Huang C X, Wu X D 2009 Computer Engineering and Application 45 220 (in Chinese) [谭文, 王耀南, 黄创霞, 伍雪冬 2009 计算机工程与应用 45 220]
[3] Wu Z Q, Tan F X 2006 Proc. CSEE 26 159 (in Chinese) [吴忠强, 谭拂晓 2006 中国电机工程学报 26 159]
[4] Ren H P, Liu D 2006 IEEE Trans. Circuits System-II. 53 45
[5] Li J, Ren H P 2005 Control Theory & Applications 22 637 (in Chinese) [李洁, 任海鹏 2005 控制理论与应用 22 637]
[6] Meng Z J, Sun C Z, An Y J, Gao J W, Gao P 2007 Proceeding of International Conference on Electrical Machines and Systems Seoul, Korea October 8-11 2007 p1748
[7] Yin P Q, Yu L, Nan Y R, Zheng K 2006 Proceedings of the CSEE 26 143 (in Chinese) [殷培强, 俞立, 南余荣, 郑科 2006 中国电机工程学报 26 143]
[8] Shen T L 1996 H_∞ Control Theory and Application (Beijing: Tsinghua University Press) (in Chinese) [申铁龙 1996 H_∞ 控制理论及其应用 (北京: 清华大学出版社)]
[9] Lin L, Huang S R 2009 Electr. Mach. Control 13 541 (in Chinese) [林立, 黄苏融 2009 电机与控制学报 13 541]
[10] Zhang X H, Ding S G 2009 Control Theory & Applications 26 661 (in Chinese) [张兴华, 丁守刚 2009 控制理论与应用 26 661]
[11] Du R H, Wu Y F, Chen W, Chen Q W 2013 Information and Control 42 132 (in Chinese) [杜仁慧, 吴益飞, 陈威, 陈庆伟 2013 信息与控制 42 132]
[12] Ji Z C, Li S D, Shen Y X 2005 Control and Decision 20 329 (in Chinese) [纪志成, 李三东, 沈艳霞 2005 控制与决策 20 329]
[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] Tang C S, Dai Y H 2013 Acta Phys. Sin. 62 180504 (in Chinese) [唐传胜, 戴跃洪 2013 62 180504]
[15] Van C N, Riccardo M, Gilney D 2012 IEEE Conference on Decision and Control Maui, Hawaii, USA December 10-13, 2012 p3564
[16] Xue W, Guo Y L, Chen Z Q 2009 Acta Phys. Sin. 58 8146 (in Chinese) [薛薇, 郭彦岭, 陈增强 2009 58 8146]
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