文章基本信息

标题：Guaranteed cost control for exponential stability of a nonlinear system with mixed time-varying delays in states and controls
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作者：Nuchira Khongja ; Thongchai Botmart ; Piyapong Niamsup 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2018
卷号：2018
期号：1
页码：435
DOI：10.1186/s13662-018-1898-y
语种：English
出版社：Hindawi Publishing Corporation
摘要：This paper presents a new guaranteed cost control for exponential stability of a nonlinear system with mixed time-delays in state and feedback control. The considered mixed time-delays are both discrete and distributed time-varying delays, but not necessarily differentiable. The proposed conditions allow us to design the state feedback controllers which stabilize the closed-loop system. By constructing an appropriate Lyapunov–Krasovskii functional, new delay-dependent sufficient conditions for the existence of guaranteed cost control are given in terms of linear matrix inequalities (LMIs). Moreover, we design new quadratic cost functions and minimize their upper bound. Finally, numerical examples are given to illustrate the effectiveness and improvement over some existing results in the literature.
关键词：Guaranteed cost control ; Exponential stability ; Mixed time-varying delays ; Feedback control