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Title: Smooth super twisting sliding mode based steering control for nonholonomic systems transformable into chained form (English)
Author: Abbasi, Waseem
Author: ur Rehman, Fazal
Author: Shah, Ibrahim
Language: English
Journal: Kybernetika
ISSN: 0023-5954 (print)
ISSN: 1805-949X (online)
Volume: 54
Issue: 3
Year: 2018
Pages: 476-495
Summary lang: English
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Category: math
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Summary: In this article, a new solution to the steering control problem of nonholonomic systems, which are transformable into chained form is investigated. A smooth super twisting sliding mode control technique is used to steer nonholonomic systems. Firstly, the nonholonomic system is transformed into a chained form system, which is further decomposed into two subsystems. Secondly, the second subsystem is steered to the origin by using smooth super twisting sliding mode control. Finally, the first subsystem is steered to zero using signum function. The proposed method is tested on three nonholonomic systems, which are transformable into chained form; a two-wheel car model, a model of front-wheel car, and a fire truck model. Numerical computer simulations show the effectiveness of the proposed method when applied to chained form nonholonomic systems. (English)
Keyword: nonholonomic mechanical systems
Keyword: chained form
Keyword: steering control
Keyword: smooth super twisting sliding mode control and lyapunov function.
MSC: 70Q05
MSC: 93C85
idZBL: Zbl 06987018
idMR: MR3844828
DOI: 10.14736/kyb-2018-3-0476
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Date available: 2018-11-02T10:08:22Z
Last updated: 2020-01-05
Stable URL: http://hdl.handle.net/10338.dmlcz/147432
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