不确定线性离散时滞系统的鲁棒脉冲镇定
Robust Impulsive Stability for Uncertain Linear Discrete-Time Systems with Delay
DOI: 10.12677/AAM.2017.65083, PDF, HTML, XML, 下载: 1,498  浏览: 3,825  科研立项经费支持
作者: 柳长青：百色学院，数学与统计学院，广西 百色
关键词: 鲁棒指数稳定；时变Lyapunov函数；时滞；离散系统；不确定参数；线性矩阵不等式；Robust Exponential Stability； Time-Varying Lyapunov Function； Delay； Discrete-Time System； Uncertain parameters； Linear Matrix Inequalities
摘要: 研究了一类范数有界的不确定线性离散时滞系统的鲁棒脉冲镇定问题。通过引入与脉冲时间序列相关的时变Lyapunov泛函，利用凸组合技术，以线性矩阵不等式的形式，建立了不确定线性离散脉冲时滞系统的鲁棒指数稳定的判别准则。通过求解线性矩阵不等式，得到鲁棒状态反馈脉冲控制律的增益矩阵。数值实例仿真验证了结果的有效性、可行性。
Abstract: This paper investigates the problem of robust impulsive stabilization of uncertain linear dis-crete-time systems with delay. By introducing the time-varying Lyapunov function that captures the dynamical characteristic of discrete-time impulsive delayed uncertain linear systems, and utilizes a convex combination technique, new robust exponential stability criteria for uncertain linear discrete-time impulsive delayed systems are established in terms of linear matrix inequalities. And the feedback gain matrices of robust impulsive control law are obtained. Numerical simulations are rendered to exemplify the effectiveness and applicability of the proposed results.
文章引用：柳长青. 不确定线性离散时滞系统的鲁棒脉冲镇定[J]. 应用数学进展, 2017, 6(5): 698-705. https://doi.org/10.12677/AAM.2017.65083

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