Controllability of Nonisolated DC-DC Converters with Constant-Power-Load

作     者：Zhi-yu XU, You-ling YU, Wei-sheng XU, Qi-di WU Department of Control Science and Engineering, Tongji University, Shanghai 201804 

会议名称：《第24届中国控制与决策会议》

会议日期：2012年

学科分类：080801[工学-电机与电器] 0808[工学-电气工程] 08[工学] 

基　　金：supported by National Natural Science Foundation under Grant 61104115 The program of Science and Technology Commission of Shanghai Municipality under Grant 08dz203900, 10dz1141400 

关 键 词：nonisolated dc-dc converter constant-power-load controllability switched system affine nonlinear 

摘      要：This paper addresses the controllability of six types of nonisolated DC-DC converters （i.e. Buck, Boost, Buck-Boost, SEPIC, Cuk and Zeta） feeding the constant power load （CPL）. The operation principle of SEPIC is presented so that the drift vectors and control functions are derived, which demonstrate that each switching mode is an affine nonlinear subsystem. Employing the recent findings on the controllability of switched nonlinear systems, we prove that every state on the maximal integral manifold is an interior of the convex cone generated by （G-shifted） drift vectors and control functions, thus the nonisolated DC-DC converters with CPLs are controllable. This technique could be applied to analyze other isolated converters.