| 引用本文: | 高文华,邓飞其.凸多面体不确定随机时滞系统的参数依赖状态反馈控制[J].控制理论与应用,2011,28(2):235~241.[点击复制] |
| GAO Wen-hua,DENG Fei-qi.Parameter-dependent state feedback control for stochastic delay-varying systems with polytopic-type uncertainties[J].Control Theory and Technology,2011,28(2):235~241.[点击复制] |
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| 凸多面体不确定随机时滞系统的参数依赖状态反馈控制 |
| Parameter-dependent state feedback control for stochastic delay-varying systems with polytopic-type uncertainties |
| 摘要点击 1868 全文点击 1364 投稿时间：2009-10-29 修订日期：2010-03-24 |
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| DOI编号 10.7641/j.issn.1000-8152.2011.2.CCTA091368 |
| 2011,28(2):235-241 |
| 中文关键词 随机系统 时滞 凸多面体不确定性 鲁棒镇定 参数依赖控制器 |
| 英文关键词 stochastic systems time-delay polytopic-type uncertainties robust stabilization parameter-dependent controller |
| 基金项目 国家自然科学基金资助项目(60874114). |
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| 中文摘要 |
| 考虑了凸多面体不确定随机时滞系统的参数依赖状态反馈控制问题. 把参数相关的Lyapunov-Krasovskii泛函方法和自由权矩阵方法相结合, 得到了基于线性矩阵不等式(LMI)的时滞相关及参数相关的鲁棒镇定的充分条件. 由于在引入自由权矩阵时, 减少了所用的自由矩阵数目, 使得给出的参数依赖的控制器更易于实现. 最后用例子说明了结果的有效性. |
| 英文摘要 |
| The parameter-dependent state feedback control problem for stochastic delay-varying systems with polytopictype uncertainties is discussed. Based on parameter-dependent Lyapunov-Krasovskii functional and free-weighting matrix method, some delay-dependent and parameter-dependent stabilization conditions are presented in terms of linear matrix inequalities. Since the number of free-weighting matrices is reduced when introducing free-weighting matrices, the given parameter-dependent controller is easier to be implemented. Finally, the simulation example shows that the result is efficient. |