Aiming at the problem that the dynamic characteristics of a Buck converter are usually changed with its input voltage and output load changing , a Buck converter polytopic linear parameter-varying ( LPV) model was built , at the same time , the polytopic optimization technique was introduced .Based on the optimization method of linear matrix inequalities ( LMI) , a robust H∞ controller was designed on the basis of the polytopic LPV model of a Buck converter by state feedback method to configure the closed loop poles to a specific area where met the dynamic response requirements .Simulation results show that no matter in the case of abrupt change in load resistance and in input voltage or in the case of disturbing current , the Buck converter under the control of the robust variable gain controller is able to keep the out -put voltage stable and to possess good dynamic characteristics .%针对输入电压和输出负载发生变化会影响Buck变换器动态特性的问题,建立了Buck变换器多胞线性变参数(linear parameter-varying,LPV)模型,同时引入多胞优化技术,基于线性矩阵不等式(LMI)最优化的方法,利用状态反馈将闭环系统的极点配置到满足动态响应要求的特定区域,设计了一种基于多胞线性变参数模型的Buck变换器鲁棒变增益控制器.仿真结果表明,无论是在负载电阻突变或者输入电压突变的情况下,还是存在负载扰动电流的情况下,所设计的鲁棒变增益控制器都能够使Buck变换器保持稳定的电压输出和良好的动态特性.
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