| 基于LMI的小时滞饱和系统稳定域估计方法 |
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| 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. |
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| 作者姓名： | 辛焕海 屠竞哲 谢俊 甘德强 |
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| 作者单位： | 浙江大学,电机工程系,浙江,杭州,310027 |
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| 基金项目： | 国家自然科学基金资助项目，中国博士后基金资助项目，中国博士后科学基金特别资助项目 |
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| 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.
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| 关 键 词： | 饱和非线性 小时滞 Pade近似 奇骨摄动饱和系统 |
| 收稿时间： | 2008/2/27 0:00:00 |
| 修稿时间： | 2008/12/19 0:00:00 |
LMI-based stability region estimation for dynamical systems with saturation nonlinearities and a short time-delay |
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| XIN Huan-hai,TU Jing-zhe,XIE Jun and GAN De-qiang.LMI-based stability region estimation for dynamical systems with saturation nonlinearities and a short time-delay[J].Control Theory & Applications,2009,26(9):970-976. |
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| Authors: | XIN Huan-hai TU Jing-zhe XIE Jun and GAN De-qiang |
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| Affiliation: | Department of Electrical Engineering, Zhejiang University,Department of Electrical Engineering, Zhejiang University,Department of Electrical Engineering, Zhejiang University,Department of Electrical Engineering, Zhejiang University |
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| Abstract: | 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. |
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| Keywords: | saturation nonlinearity short time-delay Pade approximation singular perturbation dynamical systems |
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