Adaptive global stabilization of uncertain multi-input linear time-delay systems by PDE full-state feedback

被引：31

作者：

Zhu, Yang ^{[1
]}

Krstic, Miroslav ^{[2
]}

Su, Hongye ^{[3
]}

机构：

[1] Nanyang Technol Univ, Sch Civil & Environm Engn, Singapore, Singapore

[2] Univ Calif San Diego, Dept Mech & Aerosp Engn, San Diego, CA 92103 USA

[3] Zhejiang Univ, Inst Cyber Syst & Control, State Key Lab Ind Control Technol, Hangzhou, Zhejiang, Peoples R China

来源：

AUTOMATICA | 2018年 / 96卷

基金：

中国国家自然科学基金;

关键词：

Adaptive; Uncertain LTI; Multi-input; Time-delay; PDE; PREDICTOR FEEDBACK; INPUT; ACTUATOR; CONTROLLER;

D O I：

10.1016/j.automatica.2018.07.006

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A majority of recently published results about control of systems with multi-input time-delay ask for a perfect knowledge of the system itself. To overcome this disadvantage, this paper investigates adaptive control methodology of multi-input linear time-invariant (LTI) systems under a coexistence of classic types of uncertainties, such as unknown and distinct multi-actuator delays, unknown parameters and unmeasurable state in the ordinary differential equation (ODE) part. Making use of the idea of a transport partial differential equation (POE) representation of the delayed input, a unity-rescaled backstepping transformation and predictor-based PDE full-state feedback is developed to achieve global stabilization for uncertain LTI systems with multi-input time-delay. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：270 / 279

页数：10

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