Input-to-state stability and inverse optimality of predictor feedback for multi-input linear systems

被引：31

作者：

Cai, Xiushan ^{[1
]}

Bekiaris-Liberis, Nikolaos ^{[2
,3
]}

Krstic, Miroslav ^{[4
]}

机构：

[1] Zhejiang Normal Univ, Dept Elect & Commun Engn, Jinhua 321004, Peoples R China

[2] Tech Univ Crete, Dept Elect & Comp Engn, Khania 73100, Greece

[3] Tech Univ Crete, Dept Prod Engn & Management, Khania 73100, Greece

[4] Univ Calif San Diego, Dept Mech Aerosp Engn, La Jolla, CA 92093 USA

来源：

AUTOMATICA | 2019年 / 103卷

基金：

欧盟地平线“2020”; 中国国家自然科学基金;

关键词：

Delay compensation; Predictor feedback; Multi-input systems; Input-to-state stabilization; Inverse optimality; Robustness; WAVE ACTUATOR DYNAMICS; ADAPTIVE-CONTROL; LTI SYSTEMS; TIME; ROBUSTNESS; STABILIZATION;

D O I：

10.1016/j.automatica.2019.02.038

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

For the "exact" predictor-feedback control design, recently introduced by Tsubakino, Krstic, and Oliveira for multi-input linear systems with distinct input delays, we establish input-to-state stability, with respect to additive plant disturbances, as well as robustness to constant multiplicative uncertainties affecting the inputs. We also show that the exact predictor-feedback controller is inverse optimal with respect to a meaningful differential game problem. Our proofs capitalize on the availability of a backstepping transformation, which is formulated appropriately in a recursive manner. An example, computed numerically, is provided to illustrate the validity of the developed results. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页码：549 / 557

页数：9

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