Large-signal stability-oriented design of boost regulators based on a Lyapunov criterion with nonlinear integral

被引:19
作者
Berkovich, Y [1 ]
Ioinovici, A [1 ]
机构
[1] Holon Acad Inst Technol, Dept Elect & Elect Engn, IL-58102 Holon, Israel
来源
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS | 2002年 / 49卷 / 11期
关键词
boost regulator; large-signal stability; Lyapunov stability;
D O I
10.1109/TCSI.2002.803350
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
Exact nonlinear differential equations of boost pulsewidth modulation converters ( either with hard-switching or soft-switching, in continuous and discontinuous conduction mode) are obtained, without using average approximations. An extended system of equations also contains the differential equation of the integrated error between the reference and the output voltage. A positive-definite Lyapunov function is defined, including in its expression a nonlinear integral of type Lurie. Sufficient conditions for the Lyapunov stability of the system are determined. Consequently, constraints on the feedback circuit parameters that assure the large-signal stability of the system are formulated. These constraints relate the parameters of the feedback circuit With the values of the power stage elements, load, switching frequency, steady-state duty-cycle. For different values of the steady-state duty-cycle, graphical boundaries which assure the large-signal stability for all the variation of the load are designed. Simulations and experiments confirm the stability of the design.
引用
收藏
页码:1610 / 1619
页数:10
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