Output controllability of switched power converters as switched linear systems

Output controllability (OC) is the basic characteristics of any control systems, but OC of switched power converters has not been studied yet. Switched linear systems (SLS) theory was introduced to OC study of switched power converters in this paper. At first, basic switched power converters, such as basic DC-DC converters, were built as switched linear system models. Then according to the characteristics of switched linear system models of power converters, the OC definition and its sufficient and necessary criterion of switched linear systems was presented. At last, the OC analysis of buck converter and boost converter was given. The analysis results verify that the basic DC-DC converters are output controllable based on switched linear system model and so modern control methods could be used to control and regulate power converters' output. The analysis method can be extended to other switched power converters or control systems. Buck converter with load current step decrease and increase was implemented as an example to illustrate the output controllability of switched power converters.

[1]  Philip T. Krein,et al.  Optimal control approaches to switching power converters , 1992, PESC '92 Record. 23rd Annual IEEE Power Electronics Specialists Conference.

[2]  A. Morse Supervisory control of families of linear set-point controllers Part I. Exact matching , 1996, IEEE Trans. Autom. Control..

[3]  Shmuel Ben-Yaakov,et al.  H/sup /spl infin// control applied to boost power converters , 1997 .

[4]  Paolo Mattavelli,et al.  General-purpose fuzzy controller for DC/DC converters , 1995, Proceedings of 1995 IEEE Applied Power Electronics Conference and Exposition - APEC'95.

[5]  K.M. Smedley,et al.  One-cycle control of switching converters , 1991, PESC '91 Record 22nd Annual IEEE Power Electronics Specialists Conference.

[6]  A. Morse,et al.  Basic problems in stability and design of switched systems , 1999 .

[7]  C.K. Tse,et al.  An adaptive control for DC-to-DC converters , 1990, 21st Annual IEEE Conference on Power Electronics Specialists.

[8]  Zhendong Sun,et al.  On reachability and stabilization of switched linear systems , 2001, IEEE Trans. Autom. Control..

[9]  A. Massarini,et al.  Feedforward control of DC-DC PWM boost converter , 1997 .