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The method of adaptive slope compensation and its circuit structure are proposed in this paper. With this method, bifurcation and chaos in double-loop current-mode buck DC/DC are controlled with good performance. The discrete model of double-loop current-mode buck DC/DC used in stability analysis is build and the condition for the system operating stably under double-loop control is derived theoretically. Further more, the relationship between the adaptive coefficient k and the maximum duty ratio on which the system will operate stably is derived. The agreement of simulation results with the theoretical analysis shows that adaptive slope compensation can control bifurcation and chaos effectively, and it extends the system working range and improves the dynamic response characteristics.
[1] ［1］Yang R, Zhang B 2007 Acta Phys. Sin. 56 3789 (in Chinese) ［杨汝、张波 2007 56 3789］
[2] ［2］Lu W G, Zhou L W, Luo Q M, Du X 2007 Acta Phys. Sin. 56 6275 (in Chinese) ［卢伟国、周雒维、罗全明、杜雄 2007 56 6275］
[3] ［3］Zhou Y F, Chen J N, Tse C K, Ke D M, Shi L X, Sun W F 2004 Acta Phys. Sin. 53 3676 (in Chinese) ［周宇飞、陈军宁、谢智刚、柯导明、时龙兴、孙伟锋 2004 53 3676］
[4] ［4］Luo X S, Wang B H, Chen G R, Quan H J, Fang J Q, Zou Y L, Jiang P Q 2003 Acta Phys. Sin. 52 12 (in Chinese) ［罗晓曙、汪秉宏、陈关荣、全宏俊、方锦清、邹艳丽、蒋品群 2003 52 12］
[5] ［5］Zhou Y F, Tse C K, Qiu S S, Chen J N 2005 Chin. Phys. 14 61
[6] ［6］Lu W G, Zhou L W, Luo Q M 2007 Acta Phys. Sin. 56 5648 (in Chinese) ［卢伟国、周雒维、罗全明 2007 56 5648］
[7] ［7］Lu W G, Zhou L W, Luo Q M 2007 Chin. Phys. 16 3256
[8] ［8］Zou Y L, Luo X S, Chen G R 2006 Chin. Phys. 15 1719
[9] ［9］Bao B C, Xu J P, Liu Z 2009 Acta Phys. Sin. 58 2949 (in Chinese) ［包伯成、许建平、刘中 2009 58 2949］
[10] ］Bao B C, Xu J P, Liu Z 2008 J. Univ. Electron. Sci. Technol. China 37 397 (in Chinese) ［包伯成、许建平、刘中 2008 电子科技大学学报 37 397］
[11] ］Ye Q, Lai X Q, Li Y M, Yuan B, Chen F J 2008 Chin. J. Semiconduct. 29 281
[12] ］Li Y M, Lai X Q, Chen F J, Yuan B, Jia X Z 2007 7th International Conference on Application Specific Intergrated Circuits Guilin, China, 22—25 October, 2007 p608
[13] ］Li Y M, Lai X Q, Wang H Y 2005 Microelectron. Comput. 22 274 (in Chinese) ［李演明、来新泉、王红义 2005 微电子学与计算机 22 274］
[14] ］Chen F J, Lai X Q, Li Y S 2008 Chin. J. Semiconduct. 29 593 (in Chinese) ［陈富吉、来新泉、李玉山 2008 半导体学报 29 593］
[15] ］Zafrany I, Ben-Yaakov S 1995 Proceedings of the 26th Annual IEEE Power Electronics Specialists Conference Atlanta, GA, USA, June 12—15, 1995 p1111
[16] ］Wang G R, Chen G Z 1995 Chaotic Motion in Nonlinear Constant Differential Equation (Nanning: Press of Guangxi Science and Technology) p89 (in Chinese) ［王光瑞、陈光旨 1995 非线性常微分方程的混沌运动（南宁： 广西科学技术出版社）第89页］
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[1] ［1］Yang R, Zhang B 2007 Acta Phys. Sin. 56 3789 (in Chinese) ［杨汝、张波 2007 56 3789］
[2] ［2］Lu W G, Zhou L W, Luo Q M, Du X 2007 Acta Phys. Sin. 56 6275 (in Chinese) ［卢伟国、周雒维、罗全明、杜雄 2007 56 6275］
[3] ［3］Zhou Y F, Chen J N, Tse C K, Ke D M, Shi L X, Sun W F 2004 Acta Phys. Sin. 53 3676 (in Chinese) ［周宇飞、陈军宁、谢智刚、柯导明、时龙兴、孙伟锋 2004 53 3676］
[4] ［4］Luo X S, Wang B H, Chen G R, Quan H J, Fang J Q, Zou Y L, Jiang P Q 2003 Acta Phys. Sin. 52 12 (in Chinese) ［罗晓曙、汪秉宏、陈关荣、全宏俊、方锦清、邹艳丽、蒋品群 2003 52 12］
[5] ［5］Zhou Y F, Tse C K, Qiu S S, Chen J N 2005 Chin. Phys. 14 61
[6] ［6］Lu W G, Zhou L W, Luo Q M 2007 Acta Phys. Sin. 56 5648 (in Chinese) ［卢伟国、周雒维、罗全明 2007 56 5648］
[7] ［7］Lu W G, Zhou L W, Luo Q M 2007 Chin. Phys. 16 3256
[8] ［8］Zou Y L, Luo X S, Chen G R 2006 Chin. Phys. 15 1719
[9] ［9］Bao B C, Xu J P, Liu Z 2009 Acta Phys. Sin. 58 2949 (in Chinese) ［包伯成、许建平、刘中 2009 58 2949］
[10] ］Bao B C, Xu J P, Liu Z 2008 J. Univ. Electron. Sci. Technol. China 37 397 (in Chinese) ［包伯成、许建平、刘中 2008 电子科技大学学报 37 397］
[11] ］Ye Q, Lai X Q, Li Y M, Yuan B, Chen F J 2008 Chin. J. Semiconduct. 29 281
[12] ］Li Y M, Lai X Q, Chen F J, Yuan B, Jia X Z 2007 7th International Conference on Application Specific Intergrated Circuits Guilin, China, 22—25 October, 2007 p608
[13] ］Li Y M, Lai X Q, Wang H Y 2005 Microelectron. Comput. 22 274 (in Chinese) ［李演明、来新泉、王红义 2005 微电子学与计算机 22 274］
[14] ］Chen F J, Lai X Q, Li Y S 2008 Chin. J. Semiconduct. 29 593 (in Chinese) ［陈富吉、来新泉、李玉山 2008 半导体学报 29 593］
[15] ］Zafrany I, Ben-Yaakov S 1995 Proceedings of the 26th Annual IEEE Power Electronics Specialists Conference Atlanta, GA, USA, June 12—15, 1995 p1111
[16] ］Wang G R, Chen G Z 1995 Chaotic Motion in Nonlinear Constant Differential Equation (Nanning: Press of Guangxi Science and Technology) p89 (in Chinese) ［王光瑞、陈光旨 1995 非线性常微分方程的混沌运动（南宁： 广西科学技术出版社）第89页］
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