Asymptotic stabilization of nonlinear systems with long input delay via memoryless feedback: A linearization methode

被引：22

作者：

Lin, Wei ^{[1
]}

Wang, Yuanjiu ^{[1
]}

Liu, Xueliang ^{[2
]}

机构：

[1] Case Western Reserve Univ, Dept Elect Comp & Syst Engn, Cleveland, OH 44106 USA

[2] Dongguan Univ Technol, Sch Elect Engn, Dongguan, Guangdong, Peoples R China

来源：

AUTOMATICA | 2021年 / 130卷

关键词：

Long input delay; Local asymptotic stabilization; Local forward completeness; Memoryless state and; or output feedback; MIMO nonlinear systems; Razumikhin method; TRUNCATED PREDICTOR FEEDBACK; FINITE SPECTRUM ASSIGNMENT; LINEAR-SYSTEMS; OUTPUT LINEARIZATION; CASCADE SYSTEMS; STATE;

D O I：

10.1016/j.automatica.2021.109731

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper considers the problem of how to control nonlinear systems with a large delay in the input. A linearization method is presented to achieve local asymptotic stabilization (LAS) via memoryless state and/or output feedback, for multiple-input/multiple-output (MIMO) nonlinear systems with a large input delay. The development of the linearization technique is based on the Razumikhin theorem, a forward completeness lemma of the FDE (functional differential equation) on a closed and bounded interval, and the previous work on truncated predictor feedback control of linear systems with input delay. (C) 2021 Elsevier Ltd. All rights reserved.

引用

页数：11

共 28 条

[1] LINEAR-SYSTEMS WITH DELAYED CONTROLS - A REDUCTION
ARTSTEIN, Z
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1982, 27 (04) : 869 - 879
[2] Stabilization of strict-feedback nonlinear systems with input delay using closed-loop predictors
Cacace, Filippo
Conte, Francesco
Germani, Alfredo
Pepe, Pierdomenico
[J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2016, 26 (16) : 3524 - 3540
[3] Input-output linearization with delay cancellation for nonlinear delay systems: the problem of the internal stability
Germani, A
Manes, C
Pepe, P
[J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2003, 13 (09) : 909 - 937
[4] Gu K., 2003, CONTROL ENGN SER BIR
[5] Recursive predictor design for state and output feedback controllers for linear time delay systems
Jankovic, Mrdjan
[J]. AUTOMATICA, 2010, 46 (03) : 510 - 517
[6] Karafyllis I, 2016, ADV DELAY DYN, V4, P1, DOI 10.1007/978-3-319-18072-4_1
[7] Input Delay Compensation for Forward Complete and Strict-Feedforward Nonlinear Systems
Krstic, Miroslav
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2010, 55 (02) : 287 - 303
[8] FEEDBACK STABILIZATION OF LINEAR-SYSTEMS WITH DELAYED CONTROL
KWON, WH
PEARSON, AE
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1980, 25 (02) : 266 - 269
[9] Synthesis of upper-triangular non-linear systems with marginally unstable free dynamics using state-dependent saturation
Lin, W
Li, XJ
[J]. INTERNATIONAL JOURNAL OF CONTROL, 1999, 72 (12) : 1078 - 1086
[10] Global stabilization of cascade systems by C0 partial-state feedback
Lin, W
Pongvuthithum, R
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (08) : 1356 - 1362

← 1 2 3 →