| 引用本文: | 辛焕海,屠竞哲,谢俊,甘德强.基于LMI的小时滞饱和系统稳定域估计方法[J].控制理论与应用,2009,26(9):970~976.[点击复制] |
| XIN Huan-hai,TU Jing-zhe,XIE Jun,GAN De-qiang.LMI-based stability region estimation for dynamical systems with saturation nonlinearities and a short time-delay[J].Control Theory and Technology,2009,26(9):970~976.[点击复制] |
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| 基于LMI的小时滞饱和系统稳定域估计方法 |
| LMI-based stability region estimation for dynamical systems with saturation nonlinearities and a short time-delay |
| 摘要点击 2115 全文点击 1172 投稿时间：2008-02-27 修订日期：2008-12-19 |
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| DOI编号 |
| 2009,26(9):970-976 |
| 中文关键词 饱和非线性 小时滞 Pade近似 奇异摄动饱和系统 |
| 英文关键词 saturation nonlinearity short time-delay Pade approximation singular perturbation dynamical systems |
| 基金项目 国家自然科学基金资助项目(50807046); 中国博士后基金资助项目(20070420224); 中国博士后科学基金特别资助项目(20081471). |
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| 中文摘要 |
| 基于Pade近似变换, 将小时滞饱和系统的稳定域估计转化为估计奇异摄动饱和系统的稳定域问题. 证明了此奇异摄动饱和系统的稳定域具有可解耦性, 并在此基础上建立LMI优化模型并提出小时滞饱和系统稳定域估计的降阶方法. 算例仿真验证了方法的正确性和有效性. |
| 英文摘要 |
| Based on Pade approximation, the stability region estimation for dynamical systems with saturation nonlinearities and a short time-delay is transformed to that for singular perturbation systems with saturation nonlinearities (SPSSN). The stability region of the singular systems with saturation nonlinearities is proved to be decomposable when the time-delay is short enough. Based on this characteristic, we develop a linear matrix inequality(LMI) optimization model, and propose an order-reduction method for estimating the stability region of systems with saturation nonlinearities and a short time-delay. Simulation results show the effectiveness and the validity of the proposed method. |