Predefined-time integral sliding mode control of second-order systems

This manuscript introduces the design of a controller that ensures predefined-time convergence for a class of second-order systems. In contrast to finite- and fixed-time controllers, predefined-time schemes allow to prescribe a bound for the convergence time as a control parameter. First, a predefin...

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Bibliographic Details
Published inInternational journal of systems science Vol. 51; no. 16; pp. 3425 - 3435
Main Authors Sánchez-Torres, Juan Diego, Muñoz-Vázquez, Aldo Jonathan, Defoort, Michael, Aldana-López, Rodrigo, Gómez-Gutiérrez, David
Format Journal Article
LanguageEnglish
Published London Taylor & Francis 09.12.2020
Taylor & Francis Ltd
Subjects
Automatic
Control systems design
Controllers
Convergence
Disturbances
Engineering Sciences
integral sliding mode control
Integrals
Lyapunov stability
Predefined-time stability
Sliding mode control
System dynamics
"integral sliding mode control"
"Lyapunov stability"
" Predefined-time stability"
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Summary:This manuscript introduces the design of a controller that ensures predefined-time convergence for a class of second-order systems. In contrast to finite- and fixed-time controllers, predefined-time schemes allow to prescribe a bound for the convergence time as a control parameter. First, a predefined-time integral sliding mode controller allows rejecting unknown but bounded matched disturbances. Then, the system dynamics evolve free of the effect of disturbances during the integral sliding motion. Finally, an ideal controller enforces convergence also in predefined-time. A Lyapunov-like characterisation for predefined-time stability is conducted, and numerical results are provided to illustrate the validity of the proposed technique.
ISSN:0020-7721
1464-5319
DOI:10.1080/00207721.2020.1815893