Sampled-data control for linear time-delay distributed parameter systems

被引：8

作者：

Wang, Zi-Peng ^{[1
]}

Wu, Huai-Ning ^{[2
]}

Wang, Xiao-Hong ^{[1
]}

机构：

[1] Univ Jinan, Sch Elect Engn, Jinan 250022, Shandong, Peoples R China

[2] Beihang Univ, Sch Automat Sci & Elect Engn, Sci & Technol Aircraft Control Lab, Beijing 100191, Peoples R China

来源：

ISA TRANSACTIONS | 2019年 / 92卷

关键词：

Sampled-data control; Distributed parameter systems (DPS); Time-varying delay; Spatial linear matrix inequality; H-INFINITY CONTROL; DATA FUZZY CONTROL; PATTERN-FORMATION; STABILITY;

D O I：

10.1016/j.isatra.2019.02.002

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Some real systems have spatiotemporal dynamics and are time-delay distributed parameter systems (DPSs). The existence of time-delay may lead to system instability. The analysis and design of DPSs with time-delay is essentially more complicated. To take into account the factor of time-delay and fully enjoy the benefits of the digital technology in control engineering, it is a theoretical and practical value to consider the sampled-data control (SDC) problem of DPSs with time-delay. However, there are few attempts to solve the SDC problem of time-delay DPSs. In this paper, we introduce a SDC for linear time-delay DPSs described by parabolic partial differential equations (PDEs). A SDC design is developed in the formulation of spatial linear matrix inequalities (LMIs) by constructing an appropriate Lyapunov functional, which can stabilize exponentially the time-delay DPSs. This stabilization condition can be applied to either slowing-varying time delay or fast-varying one. Finally, simulation results of a numerical example are provided to illustrate the effectiveness of the proposed method. (C) 2019 ISA. Published by Elsevier Ltd. All rights reserved.

引用

页码：75 / 83

页数：9

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