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Feedback control for a class of semi-linear parabolic distributed parameter systems with mixed time delays

为有混合时间延期的半线性的寓言的分布式的参数系统的一个类的反馈控制

作     者:Ji, Huihui Zhang, He Cui, Baotong 

作者机构:Jiangnan Univ Key Lab Adv Proc Control Light Ind Minist Educ Sch Internet Things Engn Wuxi 214122 Jiangsu Peoples R China Nanjing Univ Sci & Technol Sch Automat Nanjing Peoples R China 

出 版 物:《INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE》 (国际系统科学杂志)

年 卷 期:2020年第51卷第4期

页      面:585-600页

核心收录:

学科分类:1201[管理学-管理科学与工程(可授管理学、工学学位)] 08[工学] 0811[工学-控制科学与工程] 0812[工学-计算机科学与技术(可授工学、理学学位)] 

基  金:National Natural Science Foundation of China Postgraduate Research & Practice Innovation Program of Jiangsu Provence [KYCX17_1455] 

主  题:Distributed parameter systems exponential stability mixed time delays collocated actuators and sensors H-infinity exponentially stability 

摘      要:This paper investigates the design problem of collocated feedback controllers for a class of semi-linear distributed parameter systems with mixed time delays. The spatially distributed is divided by a finite number of intermittently local actuators and sensors. In order to deal with the problem of exponential stability analysis, the framework of a class of novel interval Lyapunov functional is established. By utilising Schur complement and linear matrix inequality (LMI) techniques, the corresponding stabilisation condition is then derived. Furthermore, the robust control problem is considered for the uncertain distributed parameter systems with external load disturbance and mixed time delays. Based on the feedback controller, the exponentially stability condition is derived for the uncertain systems. Finally, the simulation examples are presented to show the effectiveness of the proposed feedback control approach for Fisher equation and Blake-Scholes option pricing model.

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