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Intermittency in switching power converters:Theoretical Analysis

Frontiers of Electrical and Electronic Engineering in China 2006年第1期1卷 92-98页

作者： ZHOU Yu-fei CHEN Jun-ning TSE Chi K QIU Shui-sheng KE Dao-ming SHI Long-xing SUN Wei-feng Department of Electronic Engineering Anhui UniversityHefei 230039China Department of Electronic and Information Engineering The Hongkong Polytechnic UniversityKowloonHong KongChina School of Electronic and Information Engineering South China University of TechnologyGuangzhouGuangdong ProvinceChina Department of Electronic Engineering Southeast UniversityNanjingChina

In view of reasonable explanation of intermittent subharmonics and chaos that can be gained from coupling filter between circuits,this paper discusses a method that maps time bifurcation with parameter *** on this mapping method,the general analysis method of characteristic multiplier,which is originally aimed at parameter bifurcation,can be used for the study of intermittency,i.e.,time *** this paper,all researches coming from characteristic multipliers,parameter-bifurcation diagrams,and the largest Lyapunov exponent indicate the same results as those produced by simulation and ***,it is proved theoretically that the intermittency in switching power converter can be explained in terms of coupling of spurious interference.

关键词： switching power converters time bifurcation parameter bifurcation chaos subharmonics intermittency

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Global Practical Stabilization of Discrete-Time Switched Affine Systems via a General Quadratic Lyapunov Function and a Decentralized Ellipsoid

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IEEE/CAA Journal of Automatica Sinica 2021年第11期8卷 1837-1851页

作者： Mohammad Hejri Department of Electrical Engineering Sahand University of TechnologySahand New TownTabriz 51335-1996Iran

This paper addresses the problem of global practical stabilization of discrete-time switched affine systems via statedependent switching *** attempts have been made to solve this problem via different types of a common quadratic Lyapunov function and an *** classical results require either the quadratic Lyapunov function or the employed ellipsoid to be of the centralized *** some cases,the ellipsoids are defined dependently as the level sets of a decentralized Lyapunov *** this paper,we extend the existing results by the simultaneous use of a general decentralized Lyapunov function and a decentralized ellipsoid parameterized *** proposed conditions provide less conservative results than existing works in the sense of the ultimate invariant set of attraction *** different approaches are proposed to extract the ultimate invariant set of attraction with a minimum size,i.e.,a purely numerical method and a numerical-analytical *** the former,both invariant and attractiveness conditions are imposed to extract the final set of matrix *** latter is established on a principle that the attractiveness of a set implies its ***,the stability conditions are derived based on only the attractiveness property as a set of matrix inequalities with a smaller *** examples are presented to prove the satisfactory operation of the proposed stabilization methods.

关键词： Decentralized quadratic Lyapunov function decentralized ellipsoid discrete-time switched affine systems practical stabilization switching power converters

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