Design of a backstepping tracking controller for a class of linear systems with actuator delay
type: Item
instance of: scholarly article
title: Design of a backstepping tracking controller for a class of linear systems with actuator delay
zbMATH Open document ID: 1394.93113
DOI: 10.1155/2015/160542
author: Yonglong Liao
author: Fucheng Liao
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: This paper presents a method for designing a backstepping tracking controller for a class of continuous-time linear systems with actuator delay subject to a reference signal. The actuator delay can be modeled by a first-order hyperbolic PDE, and then a PDE-ODE coupled system is obtained. By applying the backstepping transformation to the coupled system, a feedback controller that includes the state of the system, the integral of the input control, and the integral of the tracking error is derived. We show that the closed-loop system is asymptotically stable at the equilibrium point and achieves complete regulation under the stabilizability assumption. The designs in this paper are illustrated with numerical simulations.
Mathematics Subject Classification ID: 93C23
Mathematics Subject Classification ID: 93B55
zbMATH DE Number: 6925621
MaRDI profile type: Publication
Wikidata QID: Q59117426
full work available at URL: https://doi.org/10.1155/2015/160542
OpenAlex ID: W1840949928
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description: scientific article; zbMATH DE number 6925621