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The permanent magnet synchronous generator (PMSG) is investigated and its mathematical model is established in two-phase synchronous rotating coordinates. Aiming at the fact that PMSG may present chaotic behaviors at certain values of parameters and under certain working conditions, the output feedback control gain matrix with the minimum performance index is obtained by solving the Riccatic equation and fed back to the system in order to improve the system performance with considering the disturbance. Results show that the optimal output feedback H∞ control based on Riccatic equation can respond to PMSG very quickly and accurately in the chaotic state when disturbance occurs.
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Keywords:
- permanent magnet synchronous generator /
- chaos control /
- disturbance attenuation /
- output feedback
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[8] Wu Z Q, Yang Y, Xu C H 2013 Acta Phys. Sin. 62 150507 (in Chinese) [吴忠强, 杨阳, 徐纯华 2013 62 150507]
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[13] Yu J T 2004 IEEE Trans. Automat. Control 49 2275
[14] Cao Y, Sun Y, Mao W 1998 IEEE Trans. Automat. Control 43 1111
[15] Gadewadikar J, Bhilegaonkar A, Lewis F L 2007 IEEE Trans. Automat. Control 93 2599
[16] Baúar T, Bernard P 1995 H∞ Optimal Control and Related Minimax Design Problems (2nd Ed.) (Boston: Birkhäuser) p34
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[1] Wang X Y, Song P, Tian L 2006 Proc. CSEE 26 142 (in Chinese) [王晓远, 宋鹏, 田亮 2006 中国电机工程学报 26 142]
[2] Wang X Y, Tang R Y, Du J J 2007 Trans. China Electrotech. Soc. 22 5 (in Chinese) [王晓远, 唐任远, 杜静娟 2007电工技术学报 22 5]
[3] Ren H P, Liu D, Li J 2003 Proc. CSEE 23 175 (in Chinese) [任海鹏, 刘丁, 李洁 2003 中国电机工程学报 23 175]
[4] Huang Q, Li T W, Yang S Q 2012 Control Theory Appl. 12 1603 (in Chinese) [黄谦, 李天伟, 杨绍清 2012 控制理论与应用 12 1603]
[5] Gholizadeh H, Hassannia A, Azarfar A 2013 Chin. Phys. B 22 010503
[6] Qin Y H, Luo X S, Wei D Q 2010 Chin. Phys. B 19 050511
[7] Zhang B, Li Z, Mao Z Y, Pang M X 2001 Proc. 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]
[8] Wu Z Q, Yang Y, Xu C H 2013 Acta Phys. Sin. 62 150507 (in Chinese) [吴忠强, 杨阳, 徐纯华 2013 62 150507]
[9] Wei D Q, Luo X S, Fang J Q 2006 Acta Phys. Sin. 55 54 (in Chinese) [韦笃取, 罗晓曙, 方锦清 2006 55 54]
[10] Ren L N, Liu F C, Jiao X H 2012 Acta Phys. Sin. 61 060506 (in Chinese) [任丽娜, 刘福才, 焦晓红 2012 61 060506]
[11] Ji Z C, Chang J 2009 Chin. J. Sci. Instrum. 30 2139 (in Chinese) [纪志成, 常军 2009 仪器仪表学报 30 2139]
[12] Lewis F L, Syrmos V L 2012 Optimal Control (3rd Ed.) (New York: Wiley-Interscience) p31
[13] Yu J T 2004 IEEE Trans. Automat. Control 49 2275
[14] Cao Y, Sun Y, Mao W 1998 IEEE Trans. Automat. Control 43 1111
[15] Gadewadikar J, Bhilegaonkar A, Lewis F L 2007 IEEE Trans. Automat. Control 93 2599
[16] Baúar T, Bernard P 1995 H∞ Optimal Control and Related Minimax Design Problems (2nd Ed.) (Boston: Birkhäuser) p34
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