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Chaos control and anti-control are one pair of inverse problems. In this paper, the correlation of system state variables is investigated, and the method of realizing the chaos control and anti-control of system under the condition of variation of correlation coefficients of current controlled continuous current mode Boost converter is analyzed. The above these lay the theoretical foundation for practical applications. Discrete-time model of system is established. The mechanisms of chaos control and anti-control in Boost converter are theoretically explained by monodromy matrix theory. The research results indicate that only when the correlation coefficient of system is changed, the Boost converter can be controlled from any state to period 1, 2, 4 orbits or chaotic state, which means that the output of the system can realize chaos control and anti-control. Simulation results verify the analysis results.
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Keywords:
- Boost converter /
- altering correlation /
- chaos control /
- chaos anti-control
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[3] Giaouris D, Banerjee S, Imrayed O 2012 IEEE Trans. Circuits Syst. I: Reg. Papers 59 207
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[6] Moreno-Valenzuela J 2013 Commun. Nonlinear Sci. Numer. Simulat. 18 1
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[8] Guzman-Guemez J, Moreno-Valenzuela J 2013 Electron. Lett. 49 613
[9] Mainali K, Oruganti R 2010 IEEE Trans. Power Electron. 25 2344
[10] Ott E, Grebogi C, Yorke J A 1990 Phys. Rev. Lett. 64 1196
[11] Lu W, Zhou L, Luo Q 2008 Phys. Lett. A 372 3217
[12] Zhou Y, Tse C K, Qiu S 2003 Int. J. Bifurcat. Chaos 13 3459
[13] Bao B, Zhou G, Xu J 2011 IEEE Trans. Power Electron. 26 1968
[14] Paramesh J, Jouanne A V 2001 IEEE Trans. Ind. Electron. 48 111
[15] Tse K K, Chung H S H, Huo S Y, So H C 2000 IEEE Trans. Power Electron. 15 399
[16] Jawaada W, Noorani M S M, Mossa Al-sawalha M 2012 Chin. Phys. Lett. 29 120505
[17] Patidar V, Pareek N K, Sud K K 2002 Phys. Lett. A 304 121
[18] Jia M M, Zhang G S, Niu H 2013 Acta Phys. Sin. 62 130503 (in Chinese) [贾美美, 张国山, 牛弘 2013 物理学报 62 130503]
[19] Zhou X A, Qian G B, Qiu S S 2006 Acta Phys. Sin. 55 3974 (in Chinese) [周小安, 钱恭斌, 丘水生 2006 物理学报 55 3974]
[20] Giaouris D, Banerjee S, Zahawi B, Pickert V 2008 IEEE Trans. Circuits Syst. I: Reg. Papers 55 1084
[21] Zhang F Y, Yang R, Long X L, Xie C Y, Chen H 2013 Acta Phys. Sin 62 218404 (in Chinese) [张方樱, 杨汝, 龙晓莉, 谢陈跃, 陈虹 2013 物理学报 62 218404]
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[1] Vilamitjana E R, Aroudi A E, Alarcon E 2012 Chaos in Switching Converters for Power Management: Designing for Prediction and Control (New York: Springer)
[2] Aroudi A E, Benadero L, Toribio E, Olivar G 1999 IEEE Trans. Circuits Syst. I: Fundam. Theory Appl. 46 1374
[3] Giaouris D, Banerjee S, Imrayed O 2012 IEEE Trans. Circuits Syst. I: Reg. Papers 59 207
[4] Liu F 2008 Chin. Phys. B 17 2394
[5] Gira R, Aroudi A E, Martinez-Salamero L 2001 Electron. Lett. 37 274
[6] Moreno-Valenzuela J 2013 Commun. Nonlinear Sci. Numer. Simulat. 18 1
[7] Deane J H B, Ashwin P, Hamill D C, Jefferies D J 1999 IEEE Trans. Circuits Syst. I: Fundam. Theory Appl. 46 1313
[8] Guzman-Guemez J, Moreno-Valenzuela J 2013 Electron. Lett. 49 613
[9] Mainali K, Oruganti R 2010 IEEE Trans. Power Electron. 25 2344
[10] Ott E, Grebogi C, Yorke J A 1990 Phys. Rev. Lett. 64 1196
[11] Lu W, Zhou L, Luo Q 2008 Phys. Lett. A 372 3217
[12] Zhou Y, Tse C K, Qiu S 2003 Int. J. Bifurcat. Chaos 13 3459
[13] Bao B, Zhou G, Xu J 2011 IEEE Trans. Power Electron. 26 1968
[14] Paramesh J, Jouanne A V 2001 IEEE Trans. Ind. Electron. 48 111
[15] Tse K K, Chung H S H, Huo S Y, So H C 2000 IEEE Trans. Power Electron. 15 399
[16] Jawaada W, Noorani M S M, Mossa Al-sawalha M 2012 Chin. Phys. Lett. 29 120505
[17] Patidar V, Pareek N K, Sud K K 2002 Phys. Lett. A 304 121
[18] Jia M M, Zhang G S, Niu H 2013 Acta Phys. Sin. 62 130503 (in Chinese) [贾美美, 张国山, 牛弘 2013 物理学报 62 130503]
[19] Zhou X A, Qian G B, Qiu S S 2006 Acta Phys. Sin. 55 3974 (in Chinese) [周小安, 钱恭斌, 丘水生 2006 物理学报 55 3974]
[20] Giaouris D, Banerjee S, Zahawi B, Pickert V 2008 IEEE Trans. Circuits Syst. I: Reg. Papers 55 1084
[21] Zhang F Y, Yang R, Long X L, Xie C Y, Chen H 2013 Acta Phys. Sin 62 218404 (in Chinese) [张方樱, 杨汝, 龙晓莉, 谢陈跃, 陈虹 2013 物理学报 62 218404]
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