Simultaneous stabilization of single-input nonlinear systems with bounded controls

被引：0

作者：

Abderrahman Iggidr

Mohamed Oumoun

机构：

[1] Université de Lorraine,CNRS, Inria, IECL

[2] Cadi Ayyad University,National School of Applied Sciences

来源：

International Journal of Dynamics and Control | 2021年 / 9卷

关键词：

Simultaneous stabilization; Nonlinear systems; Control Lyapunov function; Bounded state feedback;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, the simultaneous stabilization of single-input nonlinear systems with bounded controls is considered. Using the Lyapunov approach and based on Lin–Sontag’s formula for bounded and continuous stabilizers for affine nonlinear systems, a constructive universal formula for the bounded simultaneous stabilization of single-input nonlinear systems is presented explicitly. An illustrative example is given to demonstrate the validity of the method.

引用

页码：550 / 556

页数：6

共 50 条

[31] Feedback stabilization of nonlinear stochastic systems by locally bounded controls
Boulanger, C
STOCHASTIC ANALYSIS AND APPLICATIONS, 1998, 16 (01) : 17 - 27
[32] STABILIZATION THEORY FOR SINGLE-INPUT SINGLE-OUTPUT TWO-DIMENSIONAL SYSTEMS
BISIACCO, M
CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 1987, 6 (01) : 77 - 93
[33] Stabilization of single-input nonlinear systems using higher-order term compensating sliding mode control
Voytsekhovsky, Dmitry
Hirschorn, Ronald M.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2008, 18 (4-5) : 468 - 480
[34] NEW ASPECTS ON LINEAR AND NONLINEAR SINGLE-INPUT SINGLE-OUTPUT SYSTEMS
MEIZEL, D
GENTINA, JC
INTERNATIONAL JOURNAL OF CONTROL, 1979, 30 (06) : 1043 - 1060
[35] LINEARIZED MODEL-MATCHING FOR SINGLE-INPUT NONLINEAR-SYSTEMS
WANG, JL
RUGH, WJ
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1988, 33 (08) : 793 - 796
[36] State feedback stabilization of single-input min-max-plus systems
Tao, Yuegang
Liu, Guo-Ping
Sun, Dehui
WODES' 08: PROCEEDINGS OF THE 9TH INTERNATIONAL WORKSHOP ON DISCRETE EVENT SYSTEMS, 2008, : 231 - +
[37] Reachability and stabilization of scheduled steady-states for LPV single-input systems
Corona, Dario
Cristofaro, Andrea
Rotondo, Damiano
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2019, 356 (08): : 4478 - 4495
[38] STABILIZATION OF POLYNOMIALLY PARAMETRIZED FAMILIES OF LINEAR-SYSTEMS - THE SINGLE-INPUT CASE
BUMBY, RT
SONTAG, ED
SYSTEMS & CONTROL LETTERS, 1983, 3 (05) : 251 - 254
[39] Normal forms and invariants of nonlinear single-input systems with noncontrollable linearization
Tall, IA
Respondek, W
NONLINEAR CONTROL SYSTEMS 2001, VOLS 1-3, 2002, : 139 - 144
[40] Impulsive control of single-input nonlinear systems with application to HIV dynamics
Rivadeneira, P. S.
Moog, C. H.
APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (17) : 8462 - 8474

← 1 2 3 4 5 →