Robust output trajectory linearisation control for a class of linear time‐varying systems

The trajectory linearisation control of a non‐linear system using only output information and considering the presence of matched and unmatched uncertainties/perturbations is presented. A continuous sliding mode controller is used to achieve finite‐time tracking of a given continuous time‐varying re...

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Bibliographic Details
Published inIET control theory & applications Vol. 15; no. 6; pp. 877 - 889
Main Authors Galván Guerra, Rosalba, Velázquez Velázquez, Juan Eduardo, Fridman, Leonid, Iriarte, Rafael
Format Journal Article
LanguageEnglish
Published Wiley 01.04.2021
Subjects
Control system analysis and synthesis methods
Linear control systems
Multivariable control systems
Spatial variables control
Stability in control theory
Time-varying control systems
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Summary:The trajectory linearisation control of a non‐linear system using only output information and considering the presence of matched and unmatched uncertainties/perturbations is presented. A continuous sliding mode controller is used to achieve finite‐time tracking of a given continuous time‐varying reference and assuring theoretically exact reconstruction of the matched and unmatched uncertainties/perturbations. The states are reconstructed theoretically exactly in finite time using a linear time‐varying observer based on a high‐order sliding mode framework. The proposed approach is validated using MATLAB simulations.
ISSN:1751-8644
1751-8652
DOI:10.1049/cth2.12090