| 引用本文: | 马莉,贾如婷,丁世宏.非Lipschitz连续级联系统的稳定性分析及其应用(英文)[J].控制理论与应用,2014,31(6):786~794.[点击复制] |
| MA Li,JIA Ru-ting,DING Shi-hong.Stability of non-Lipschitz continuous cascaded systems and its application[J].Control Theory and Technology,2014,31(6):786~794.[点击复制] |
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| 非Lipschitz连续级联系统的稳定性分析及其应用(英文) |
| Stability of non-Lipschitz continuous cascaded systems and its application |
| 摘要点击 2804 全文点击 1479 投稿时间：2013-09-16 修订日期：2014-02-10 |
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| DOI编号 10.7641/CTA.2014.30974 |
| 2014,31(6):786-794 |
| 中文关键词 级联系统 积分输入到状态稳定 有限时间控制 齐次性 |
| 英文关键词 cascaded system iISS finite-time control homogeneity |
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| 中文摘要 |
| 当考虑级联系统稳定性时, 一般都需要系统满足局部或者全局Lipschitz连续性条件. 与已有文献中的结果不同, 本文给出了一种处理满足非Lipschitz连续条件下级联系统的稳定性分析方法. 首先, 基于积分输入状态稳定的定义, 给出了级联系统全局稳定的Lyapunov形式条件. 基于此, 继续讨论了非Lipschitz连续情况下级联系统的有限时间稳定性. 然后, 利用上述稳定性分析结果, 讨论了一类驱动子系统具有上三角结构的级联系统的控制设计问题. 最后, 给出几个例子验证了上述结果的有效性. |
| 英文摘要 |
| The local/global Lipschitz continuity is always required when considering the stability of the cascaded systems. Being different from the exiting methods proposed in the literature, we give a method to handle the non-Lipschitz continuous cascaded systems. By using the definition of iISS (integral input-to-state stability), the Lyapunov-like conditions for global stability of non-Lipschitz continuous cascaded systems are derived. Then, based on this, the finite-time stability for non-Lipschitz continuous cascaded systems is further studied. The stability analysis results are applied to the control design problem for a class of cascaded systems with upper-triangular deriving subsystem. Finally, some examples are proposed to validate the effectiveness of the proposed results. |
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