| 引用本文: | 高在瑞,沈艳霞,纪志成.非线性切换广义系统的输入– 状态稳定性[J].控制理论与应用,2013,30(3):385~391.[点击复制] |
| GAO Zai-rui,SHEN Yan-xia,JI Zhi-cheng.Input-to-state stability analysis for nonlinear switched descriptor systems[J].Control Theory and Technology,2013,30(3):385~391.[点击复制] |
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| 非线性切换广义系统的输入– 状态稳定性 |
| Input-to-state stability analysis for nonlinear switched descriptor systems |
| 摘要点击 3393 全文点击 2167 投稿时间：2012-05-30 修订日期：2012-10-16 |
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| DOI编号 10.7641/CTA.2013.20595 |
| 2013,30(3):385-391 |
| 中文关键词 非线性广义系统 切换系统 平均驻留时间方法 输入– 状态稳定 |
| 英文关键词 nonlinear descriptor systems switched systems average dwell time approach input-to-state stability |
| 基金项目 国家自然科学基金资助项目(61174032, 61104183); 教育部新世纪优秀人才支持计划资助项目(NCET–10–0437). |
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| 中文摘要 |
| 针对一类非线性切换广义系统, 分两种情况对其输入– 状态稳定性问题进行了研究. 采用平均驻留时间方法, 通过设计适当的切换规则, 给出了非线性切换广义系统整体输入– 状态稳定的充分条件. 相较于已有的控制方法, 该方法无需构造输入– 状态稳定的Lyapunov函数以及无需设计控制器的具体结构, 这在一定程度上方便了控制
器的设计. 最后, 两个仿真算例表明了所提方法的有效性. |
| 英文摘要 |
| The input-to-state stability for a class of nonlinear switched descriptor systems is considered for two cases. Based on the average dwell time approach, sufficient conditions are derived to guarantee that the whole system is input-tostate stable through designing an appropriate switching rule. Compared with the existing methods, it is more convenient to design the controller for each subsystem, because it does not require to construct the input-to-state stable control Lyapunov function and to design the specific structure of the control inputs. Finally, two numerical examples show that the results obtained in this paper are feasible and effective. |