Posielek, Tobias and Wulff, Kai and Johann, Reger (2020) Analysis of Sliding-Mode Control Systems with Unmatched Disturbances Altering the Relative Degree. IFAC-PapersOnLine, 53 (2), pp. 5122-5128. IFAC Secretariat. doi: 10.1016/j.ifacol.2020.12.1149. ISSN 2405-8963.
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Official URL: https://www.sciencedirect.com/science/article/pii/S2405896320315378
Abstract
We consider sliding-mode control systems subject to unmatched disturbances. Classical first-order sliding-mode techniques are capable to compensate unmatched disturbances if differentiations of the output of sufficiently high order are included in the sliding variable. For such disturbances it is commonly assumed that they do not affect the relative degree of the system. In this contribution we consider disturbances that alter the relative degree of the process and study their impact on the closed-loop control system with the classical first-order sliding-mode design. We analyse the reaching and sliding phase of the resulting closed-loop system. We show that uniqueness of the solution may be lost and derive conditions for such behaviour. We present conditions for the stability of the sliding-mode dynamics and analyse the disturbance rejection properties. A simulation case study of a two-mass spring-damper system illustrates the various closed-loop behaviours.
Item URL in elib: | https://elib.dlr.de/144684/ | ||||||||||||
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Document Type: | Article | ||||||||||||
Title: | Analysis of Sliding-Mode Control Systems with Unmatched Disturbances Altering the Relative Degree | ||||||||||||
Authors: |
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Date: | 2020 | ||||||||||||
Journal or Publication Title: | IFAC-PapersOnLine | ||||||||||||
Refereed publication: | Yes | ||||||||||||
Open Access: | Yes | ||||||||||||
Gold Open Access: | No | ||||||||||||
In SCOPUS: | Yes | ||||||||||||
In ISI Web of Science: | No | ||||||||||||
Volume: | 53 | ||||||||||||
DOI : | 10.1016/j.ifacol.2020.12.1149 | ||||||||||||
Page Range: | pp. 5122-5128 | ||||||||||||
Publisher: | IFAC Secretariat | ||||||||||||
ISSN: | 2405-8963 | ||||||||||||
Status: | Published | ||||||||||||
Keywords: | Sliding-mode control, Unmatched disturbances, Relative degree | ||||||||||||
HGF - Research field: | Aeronautics, Space and Transport | ||||||||||||
HGF - Program: | Space | ||||||||||||
HGF - Program Themes: | Space System Technology | ||||||||||||
DLR - Research area: | Raumfahrt | ||||||||||||
DLR - Program: | R SY - Space System Technology | ||||||||||||
DLR - Research theme (Project): | R - Project GigaStore | ||||||||||||
Location: | Oberpfaffenhofen | ||||||||||||
Institutes and Institutions: | Institute of System Dynamics and Control | ||||||||||||
Deposited By: | Posielek, Tobias | ||||||||||||
Deposited On: | 19 Oct 2021 12:01 | ||||||||||||
Last Modified: | 19 Oct 2021 12:01 |
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