Robust stabilization of nonlinear systems with uncertain varying control coefficient
type: Item
instance of: scholarly article
title: Robust stabilization of nonlinear systems with uncertain varying control coefficient
zbMATH Open document ID: 1407.93352
DOI: 10.1155/2014/875372
author: Zaiyue Yang
author: C. W. Chan
author: Yiwen Wang
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: This paper investigates the stabilization problem for a class of nonlinear systems, whose control coefficient is uncertain and varies continuously in value and sign. The study emphasizes the development of a robust control that consists of a modified Nussbaum function to tackle the uncertain varying control coefficient. By such a method, the finite-time escape phenomenon has been prevented when the control coefficient is crossing zero and varying its sign. The proposed control guarantees the asymptotic stabilization of the system and boundedness of all closed-loop signals. The control performance is illustrated by a numerical simulation.
Mathematics Subject Classification ID: 93D21
Mathematics Subject Classification ID: 93C40
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 7017506
Wikidata QID: Q59070355
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/875372
OpenAlex ID: W1998185368
cites work: Filtering for Discrete-Time Networked Nonlinear Systems With Mixed Random Delays and Packet Dropouts
cites work: On the convergence of a model reference adaptive control algorithm with unknown high frequency gain
cites work: Adaptive control of a simple nonlinear system without a priori information on the plant parameters
cites work: A universal iterative learning stabilizer for a class of MIMO systems
cites work: Robust control design for nonlinear uncertain systems with an unknown time-varying control direction
cites work: Global robust output regulation of lower triangular systems with unknown control direction
cites work: Some remarks on a conjecture in parameter adaptive control
cites work: Control of uncertain nonlinear systems with arbitrary relative degree and unknown control direction using sliding modes
cites work: Universal Repetitive Learning Control for Nonparametric Uncertainty and Unknown State-Dependent Control Direction Matrix
cites work: Robust control for uncertain nonlinear systems with state-dependent control direction
cites work: Universal stabilisation design for uncertain nonlinear system with sign-switching unknown control direction
cites work: Adaptive nonlinear output-feedback control with unknown high-frequency gain sign
cites work: Robust tracking control of uncertain nonlinear systems with unknown control directions
cites work: Adaptive backstepping control design for systems with unknown high-frequency gain
cites work: Improving the robustness of Nussbaum-type regulators by the use of \(\sigma\)-modification - local results
cites work: Adaptive control of a class of nonlinearly perturbed linear systems of relative degree two
cites work: Q4229071
description: scientific article; zbMATH DE number 7017506