Global practical output tracking of inherently nonlinear systems using continuously differentiable controllers
type: Item
instance of: scholarly article
title: Global practical output tracking of inherently nonlinear systems using continuously differentiable controllers
zbMATH Open document ID: 1394.93260
DOI: 10.1155/2015/932097
author: Keylan Alimhan
author: Naohisa Otsuka
author: A. A. Adamov
author: Maxat N. Kalimoldayev
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: This paper considers the global practical output tracking problem by at least continuously differentiable (\(C^1\)) state feedback for a class of uncertain nonlinear systems whose linearization around the origin may contain uncontrollable modes. Based on utilizing the homogeneous domination approach, we not only propose conditions of constructing a global continuously differentiable (\(C^1\)) controller, but also provide explicit design schemes for such systems. Finally, a numerical example demonstrates the effectiveness of the result.
Mathematics Subject Classification ID: 93D15
zbMATH DE Number: 6927605
Wikidata QID: Q59120329
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/932097
OpenAlex ID: W2159428327
cites work: Output regulation of nonlinear systems
cites work: Structurally stable output regulation of nonlinear systems
cites work: Global practical tracking by output-feedback for nonlinear systems with unknown growth rate
cites work: Practical output tracking of nonlinear systems with uncontrollable unstable linearization
cites work: Adaptive output tracking of inherently nonlinear systems with nonlinear parameterization
cites work: Robust output feedback stabilization of uncertain nonlinear systems with uncontrollable and unobservable linearization
cites work: A generalized homogeneous domination approach for global stabilization of inherently nonlinear systems via output feedback
cites work: Nonsmooth feedback stabilizer for strict-feedback nonlinear systems that may not be linearizable at the origin
cites work: Continuous finite-time stabilization of the translational and rotational double integrators
cites work: Finite Time Controllers
cites work: Recursive Observer Design, Homogeneous Approximation, and Nonsmooth Output Feedback Stabilization of Nonlinear Systems
cites work: Non-Lipschitz continuous stabilizers for nonlinear systems with uncontrollable unstable linearization
cites work: A continuous feedback approach to global strong stabilization of nonlinear systems
description: scientific article; zbMATH DE number 6927605