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.
The local/global Lipschitz continuity is always required when considering the stability of the cascaded sys-tems. 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 condi-tions 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.
出处
《控制理论与应用》
EI
CAS
CSCD
北大核心
2014年第6期786-794,共9页
Control Theory & Applications
基金
supported by Natural Science Foundation of China(61203054,61203014)
the Priority Academic Program Development of Jiangsu Higher Education Institutions
Initial Research Fund of Highly Specialized Personnel from Jiangsu University(11JDG103)
Natural Science Foundation of Jiangsu Province(BK2012283)