| 引用本文: | 徐志宇,许维胜,余有灵,吴启迪.DC-DC变换器在恒功率负载下的能控性[J].控制理论与应用,2010,27(9):1273~1276.[点击复制] |
| XU Zhi-yu,XU Wei-sheng,YU You-ling,WU Qi-di.Controllability of DC-DC converters with constant power-load[J].Control Theory and Technology,2010,27(9):1273~1276.[点击复制] |
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| DC-DC变换器在恒功率负载下的能控性 |
| Controllability of DC-DC converters with constant power-load |
| 摘要点击 2036 全文点击 987 投稿时间：2009-05-01 修订日期：2009-12-31 |
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| DOI编号 10.7641/j.issn.1000-8152.2010.9.CCTA090532 |
| 2010,27(9):1273-1276 |
| 中文关键词 DC-DC变换器 恒功率负载 切换系统 仿射非线性系统 能控性 |
| 英文关键词 DC-DC converter constant power-load switched system affine nonlinear system controllability |
| 基金项目 国家高技术研究发展("863"计划)资助项目(2006AA05Z211). |
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| 中文摘要 |
| 带有恒功率负载的DC-DC变换器是切换非线性系统. 以Boost变换器为例, 本文建立了其切换系统模型; 它包括三个模态. 模态I, II, III分别对应于开关器件导通、关断、电感电流断续时的电路拓扑. 因为电容电压是非负的, 所以本文对平面拓扑学的最新结果加以修正, 导出半平面仿射非线性系统全局能控的充分必要条件—判别函数在任意非零控制曲线上变号. 据此证明了模态II的全局能控性. 由于模态II为运转中的必经阶段, 故切换系统能控. 研究方法也适用于Buck等变换器的能控性分析. |
| 英文摘要 |
| The DC-DC converter with a constant power-load is a switched nonlinear system. We study the Boost converter by building its switched-system-model in three operation modes. Mode I, II and III are the circuit topology in the switch-on mode, the switch-off mode, and the discontinuous current mode, respectively. Because the capacitor voltage can not be negative, we modify the latest results of the planar topology to obtain for the half-planar affine nonlinear systems the necessary and sufficient conditions of global controllability: criterion function changes its sign over any nonzero control curve. We thus find that Mode II is globally controllable. Since Mode II is an inevitable period in the operation, thus the switched system is controllable. This methodology can be extended to analyze the controllability of Buck converters, etc. |
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