ISS of predictor feedback for multi-input affine nonlinear systems with distinct input delays

被引：4

作者：

Cai, Xiushan ^{[1
,2
]}

Wang, Dingchao ^{[2
]}

Wu, Jie ^{[1
]}

Zhan, Xisheng ^{[1
]}

机构：

[1] Hubei Normal Univ, Coll Mechatron & Control Engn, Huangshi 435002, Hubei, Peoples R China

[2] Zhejiang Normal Univ, Coll Math Phys & Informat Engn, Jinhua 321004, Zhejiang, Peoples R China

来源：

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2020年 / 51卷 / 13期

基金：

中国国家自然科学基金;

关键词：

Delay compensation; predictor feedback; multi-input nonlinear systems; input-to-state stabilisation; robustness; INVERSE OPTIMALITY; ACTUATOR DYNAMICS; ADAPTIVE-CONTROL; TRACKING CONTROL; LTI SYSTEMS; TIME; ROBUSTNESS; STABILIZATION; DESIGN;

D O I：

10.1080/00207721.2020.1793238

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We develop a predictor feedback control scheme for multi-input affine nonlinear systems with distinct input delays in each individual input channel and additive disturbances. The input-to-state stable control Lyapunov function (ISS-CLF) is used to design control laws for the delay-free affine nonlinear systems. Then, a predictor-feedback controller is constructed for this class of nonlinear systems with input delays. We establish input-to-state stability with respect to additive plant disturbances, as well as we show that the control law derives gain margin guarantees. Our proofs are based on the infinite-dimensional backstepping transformation and the construction of a Lyapunov functional. The developed method is applied to the control of vehicular traffic flow at distant bottlenecks.

引用

页码：2326 / 2342

页数：17

共 50 条

[21] Stability of predictor-based feedback for nonlinear systems with distributed input delay
Bekiaris-Liberis, Nikolaos
Krstic, Miroslav
AUTOMATICA, 2016, 70 : 195 - 203
[22] Output feedback adaptive maneuvering for multi-input multi-output uncertain nonlinear systems
Ying, Zhou
Qiang, Zang
ACTA PHYSICA SINICA, 2009, 58 (11) : 7565 - 7572
[23] Lyapunov-Krasovskii functionals for predictor feedback control of linear systems with multiple input delays
Li, Zhao-Yan
Zhou, Bin
Lam, James
APPLIED MATHEMATICS AND COMPUTATION, 2014, 244 : 303 - 311
[24] Delay compensation for linear systems with both state and distinct input delays
Liu, Qingsong
Zhou, Bin
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2018, 28 (15) : 4455 - 4478
[25] Predictor-based observer and controller for nonlinear systems with input/output delays
Liu, Xueliang
Lin, Wei
SYSTEMS & CONTROL LETTERS, 2024, 184
[26] On Nested Predictor Feedback for Linear Systems with Both State and Input Delays
Zhou, Bin
Liu, Qingsong
PROCEEDINGS OF THE 2016 12TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA), 2016, : 2382 - 2387
[27] ADAPTIVE AND ROBUST PREDICTORS FOR MULTI-INPUT LINEAR SYSTEMS WITH DISTRIBUTED DELAYS
Zhu, Yang
Krstic, Miroslav
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2020, 58 (06) : 3457 - 3485
[28] Generalization of Ackermann's formula for state-feedback of multi-input systems
Jee, Gopal
Dasgupta, Santanu
IFAC PAPERSONLINE, 2024, 57 : 196 - 201
[29] Output feedback regulation of upper triangular nonlinear systems with uncertain time-varying delays in states and input
Koo, Min-Sung
Choi, Ho-Lim
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2017, 27 (18) : 5129 - 5144
[30] Finite Time Control of Multi-Input Nonlinear Uncertain Systems
Bartolini, Giorgio
Estrada, Antonio
Punta, Elisabetta
2017 IEEE 56TH ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2017,

← 1 2 3 4 5 →