Wang Gang, Ma Weiming, Fu Lijun, et al. Stability theory of periodic piecewise linear system[J]. Transactions of China Electrotechnical Society, 2010, 25(12): 84-91.
[3]
Middlebrook R D, Cuk S. A general unified approach to modeling switching-converter power stages[J]. International Journal of Electronics, 1977, 42(6): 521-550.
[4]
Erickson R W, Cuk S, Middlebrook R D. Large-signal modelling and analysis of switching regulators[C]. Proc. Annual Power Electronics Specialists Conference, 1982.
Zhang Bo. Study of nonlinear chaotic phenomena of power converters and their applications[J]. Transactions of China Electrotechnical Society, 2005, 20(12): 1-12.
[7]
Guinjoan F, Calvente J, Poveda A, et al. Large-signal modeling and simulation of switching DC-DC converters[J]. IEEE Transactions on Power Electronics, 1997, 12(3): 485-494.
[8]
Sun J, Grotstollen H. Symbolic analysis methods for averaged modeling of switching power converters[J]. IEEE Transactions on Power Electronics, 1997, 12(3): 537-546.
[9]
Lineykin S, Ben-Yaakov S. Unified SPICE compatible model for large and small-signal envelope simulation of linear circuits excited by modulated signals[J]. IEEE Transactions on Industrial Electronics, 2006, 53(3): 745-751.
[10]
Tan F D, Ramshaw R S. Instabilities of a boost converter system under large parameter variations[J]. IEEE Transactions on Power Electronics, 1989, 4(4): 442-449.
[11]
Olalla C, Queinnec I, Leyva R, et al. Optimal state- feedback control of bilinear DC-DC converters with guaranteed regions of stability[J]. IEEE Transactions on Industrial Electronics, 2011, 59(10): 3868-3880.
[12]
Chung H, Ioinovici A. Design of feedback gain vector of two-state basic PWM multifeedback regulators for large-signal stability[J]. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 1997, 44(8): 676-683.
[13]
Sanders S R, Verghese G C. Lyapunov-based control for switched power converters[J]. IEEE Transactions on Power Electronics, 1992, 7(1): 17-24.
[14]
Chen F, Cai X S. Design of feedback control laws for switching regulators based on the bilinear large signal model[J]. IEEE Transactions on Power Electronics, 1990, 5(2): 236-240.
Zhang Yongping, Zhang Bo, Chen Bin, et al. A novel control law of boost DC-DC converter based on bilinear theory[J]. Transactions of China Electrotechnical Society, 2006, 21(7): 109-114.
[17]
Komurcugil H, Kukrer O. Lyapunov-based control strategy for power-factor preregulators[J]. IEEE Transactions on Circuits and Systems I-Fundamental Theory and Applications, 2003, 50(9): 1226-1229.
[18]
Mazumder S K, Acharya K. Multiple Lyapunov function based reaching condition analyses of switching power converters[C]. 2006 IEEE Power Electronics Specialists Conference, 2006: 1160-1167.
[19]
Hu T S. A nonlinear-system approach to analysis and design of power-electronic converters with saturation and bilinear terms[J]. IEEE Transactions on Power Electronics, 2011, 26(2): 399-410.
[20]
Sullivan C J, Sudhoff S D, Zivi E L, et al. Methods of optimal Lyapunov function generation with application to power electronic converters and systems[C]. IEEE Electric Ship Technologies Symposium, 2007: 267-274.