Robust state feedback control in a Boost converter with uncertain parameters
首发时间:2011-10-09
Abstract:In this paper, considering the capacitance equivalent series resistance (ESR) and load resistance which due to running conditions caused by the factors such as parameters change, Boost converters are mainly discussed. When the range of changes for uncertain parameters is not very large, Boost converters of small signal model with uncertain parameters still can be built. After building the model, based on linear matrix inequality (LMI) and Lyapunov stability theorem, sufficient conditions of robust stabilization for Boost converters are obtained. According to the uncertain parameters are unknown but bounded, Robust state feedback controllers are designed. Finally, the numerical simulations have verified the validity of this method.
keywords: Boost converters uncertain parameters Lyapunov stability state feedback robust stabilization small signal model
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一类带有不确定参数Boost变换器的鲁棒状态反馈控制
摘要:本文主要讨论Boost变换器,其中考虑到电容的等效串联电阻(ESR)和由于运行条件等因素引起的负载电阻的变化。当不确定参数的变化范围不是很大, 依然可以建立带有不确定的参数的Boost变换器的小信号模型。在建立模型之后, 基于线性矩阵不等式(LMI)方法和李亚普诺夫稳定性定理, 可以得到此类Boost变换器的鲁棒稳定的充分条件。并且根据不确定参数的未知并且有界的性质,鲁棒状态反馈控制器可以设计出来。最后,数值仿真结果验证了该方法的有效性。
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