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A hybrid impulsive and sampled-data control framework for a class of nonlinear dynamical systems with input constraints
Nonlinear Analysis: Hybrid Systems ( IF 4.2 ) Pub Date : 2020-05-01 , DOI: 10.1016/j.nahs.2020.100881
Hongfei Li , Chuandong Li , Junjian Huang

Abstract In this article, a new hybrid controller is designed, which consists of sampled-data controller and impulsive controller with actuator saturation. Firstly, by applying polytopic representation approach and establishing an appropriated Lyapunov function, some established linear matrix inequalities (LMIs) are obtained to guarantee exponential stabilization of a class of nonlinear dynamical systems. It is worth mentioning that these LMIs are very easy to verify by the Matlab LMI toolbox. Moreover, based on sector nonlinearity model approach, sufficient conditions ensuring exponential stabilization are established by LMIs. Furthermore, it is also shown that a hybrid controller without actuator saturation and under same assumptions can achieve exponential stabilization of a class of nonlinear dynamical systems. Finally, three examples are provided to show the effectiveness of theoretical analysis.

中文翻译:

一类具有输入约束的非线性动力系统的混合脉冲和采样数据控制框架

摘要 本文设计了一种新的混合控制器,它由采样数据控制器和具有执行器饱和的脉冲控制器组成。首先,应用多面体表示法,建立适当的李雅普诺夫函数,得到一些已建立的线性矩阵不等式(LMI),以保证一类非线性动力系统的指数稳定。值得一提的是,这些 LMI 很容易通过 Matlab LMI 工具箱进行验证。此外,基于部门非线性模型方法,LMI 建立了确保指数稳定的充分条件。此外,还表明没有执行器饱和且在相同假设下的混合控制器可以实现一类非线性动力系统的指数稳定。最后,
更新日期:2020-05-01
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