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Based on the LaSalle's invariant set theorem, an adaptive controller is constructed to acquire the chaotic control for the permanent magnet synchronous motor. And then a extended adaptive controller is developed by introducing a control strength factor. In comparison with the previous schemes, the present control method is simple, flexible, and is applicable in practice because of reduced control cost. Simulation results are presented to show the effectiveness and the robust of the proposed method.
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Keywords:
- adaptive control /
- LaSalle's invariant set theorem /
- permanent magnet synchronous motor /
- chaotic control
[1] Ott E, Grebogi C, Yorke J A 1990 Phys. Rev. Lett. 64 1196
[2] Zhu S P, Qian F C, Liu D 2010 Acta Phys. Sin. 59 2250 (in Chinese) [朱少平、钱富才、刘 丁 2010 59 2250]
[3] Zhou Y, Zang Q 2009 Acta Phys. Sin. 58 7565 (in Chinese) [周 颖、臧 强 2009 58 7565]
[4] Yang G L, Li H G 2009 Acta Phys. Sin. 58 7552 (in Chinese) [杨国良、李惠光 2009 58 7552]
[5] Li C L 2009 Acta Phys. Sin. 58 8134 (in Chinese) [李春来 2009 58 8134]
[6] Zhang L P, Jiang H B, Bi Q S 2010 Chin. Phys. B 19 01057
[7] Chen J H, Chau K T, Chan C C 1999 Int. J. Electr. 86 857
[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, Fang J Q, Wang B H 2006 Acta Phys. Sin. 55 54 (in Chinese)[韦笃取、罗晓曙、方锦清、汪秉宏 2006 55 54]
[10] Harb A 2004 Chaos Solitons Fract. 19 1217
[11] Luo Y X 2006 Proc. CSU-EPSA 18 23 (in Chinese)[罗佑新 2006 电力系统及其自动化学报 18 23]
[12] Li Z, Zhang B, Mao Z Y 2002 Contr. Theor. Appl. 19 53 (in Chinese) [李 忠、张 波、毛宗源 2002 控制理论与应用 19 53]
[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 58 6026]
[14] Zhang B, Li Z, Mao Z Y 2000 J. South China Univ. Techn. 28 125
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[1] Ott E, Grebogi C, Yorke J A 1990 Phys. Rev. Lett. 64 1196
[2] Zhu S P, Qian F C, Liu D 2010 Acta Phys. Sin. 59 2250 (in Chinese) [朱少平、钱富才、刘 丁 2010 59 2250]
[3] Zhou Y, Zang Q 2009 Acta Phys. Sin. 58 7565 (in Chinese) [周 颖、臧 强 2009 58 7565]
[4] Yang G L, Li H G 2009 Acta Phys. Sin. 58 7552 (in Chinese) [杨国良、李惠光 2009 58 7552]
[5] Li C L 2009 Acta Phys. Sin. 58 8134 (in Chinese) [李春来 2009 58 8134]
[6] Zhang L P, Jiang H B, Bi Q S 2010 Chin. Phys. B 19 01057
[7] Chen J H, Chau K T, Chan C C 1999 Int. J. Electr. 86 857
[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, Fang J Q, Wang B H 2006 Acta Phys. Sin. 55 54 (in Chinese)[韦笃取、罗晓曙、方锦清、汪秉宏 2006 55 54]
[10] Harb A 2004 Chaos Solitons Fract. 19 1217
[11] Luo Y X 2006 Proc. CSU-EPSA 18 23 (in Chinese)[罗佑新 2006 电力系统及其自动化学报 18 23]
[12] Li Z, Zhang B, Mao Z Y 2002 Contr. Theor. Appl. 19 53 (in Chinese) [李 忠、张 波、毛宗源 2002 控制理论与应用 19 53]
[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 58 6026]
[14] Zhang B, Li Z, Mao Z Y 2000 J. South China Univ. Techn. 28 125
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