Modeling and Stability Analysis of DC-DC Buck Converter via Takagi-Sugeno Fuzzy Approach
作者单位：School of Electrical Electronic and Computer Engineering Newcastle University Newcastle upon Tyne UK Member IEEE
会议名称：《2008 3rd International Conference on Intelligent System and Knowledge Engineering(ISKE 2008)》
会议日期：2008年
学科分类：080801[工学-电机与电器] 0808[工学-电气工程] 08[工学]
关 键 词：Stability analysis Buck converters Takagi-Sugeno model Lyapunov method Nonlinear control systems Voltage control Control systems Circuit topology Switching circuits Mathematical model
摘 要：The DC-DC voltage-mode controlled buck converter is a nonlinear, nonsmooth system that presents different circuit topologies within one switching cycle. This paper develops a Takagi-Sugeno fuzzy approach for modeling this circuit to cap- ture all the essential nonlinearities that occur in fast time scale. Based on the resulting model, we propose tractable mathematical stability analysis for identifying fast-scale instabilities of the converter, more specifically the edge of bifurcation phenomena, employing nonsmooth Lyapunov functions. The search for the Lyapunov functions are formulated as Linear Matrix Inequalities （LMI） feasibility problem which easily can be solved using up- to-date interior point methods.