Extended finite-time H∞ control for uncertain switched linear neutral systems with time-varying delays
Extended finite-time H∞ control for uncertain switched linear neutral systems with time-varying delays
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DOI：
10.1016/j.neucom.2014.10.047
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发表时间：
2015-03
期刊：
影响因子：
6
通讯作者：
Shun Wang;Tiange Shi;Lixian Zhang;A. Jasra;Ming Zeng
中科院分区：
文献类型：
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作者：
Shun Wang;Tiange Shi;Lixian Zhang;A. Jasra;Ming Zeng
本文研究一类时变时滞不确定切换线性中性系统的有限时间H∞控制问题。通过充分利用所提出的 Lyapunov-Krasovskii 泛函的模式依赖性，可以进一步研究所考虑的系统，同时包含稳定和不稳定的子系统。首先导出足够的标准，以确保底层系统的有限时间有界性，并给定不稳定子系统和稳定子系统之间激活时间的最大比率。然后针对给定的性能指标进行H∞性能分析和记忆状态反馈控制器设计。最后，提出了两个数值示例来说明所开发结果的潜力和优势。
This paper is concerned with the finite-time H∞ control problem for a class of uncertain switched linear neutral systems with time-varying delays. By fully exploiting the mode-dependency of the proposed Lyapunov–Krasovskii functionals, the considered systems could be further investigated with stable and unstable subsystems being concurrently contained. Sufficient criteria are first derived for ensuring finite-time boundedness of the underlying system with a given maximum ratio of activation time between unstable subsystems and stable ones. Then the H∞ performance analysis and the memory state-feedback controller design are carried out for a given performance index. Finally, two numerical examples are presented to illustrate the potential and advantages of the developed findings.