Smooth super twisting sliding mode based steering control for nonholonomic systems transformable into chained form

Waseem Abbasi; Fazal ur Rehman; Ibrahim Shah

Kybernetika (2018)

  • Volume: 54, Issue: 3, page 476-495
  • ISSN: 0023-5954

Abstract

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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.

How to cite

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Abbasi, Waseem, ur Rehman, Fazal, and Shah, Ibrahim. "Smooth super twisting sliding mode based steering control for nonholonomic systems transformable into chained form." Kybernetika 54.3 (2018): 476-495. <http://eudml.org/doc/294192>.

@article{Abbasi2018,
abstract = {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.},
author = {Abbasi, Waseem, ur Rehman, Fazal, Shah, Ibrahim},
journal = {Kybernetika},
keywords = {nonholonomic mechanical systems; chained form; steering control; smooth super twisting sliding mode control and lyapunov function},
language = {eng},
number = {3},
pages = {476-495},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Smooth super twisting sliding mode based steering control for nonholonomic systems transformable into chained form},
url = {http://eudml.org/doc/294192},
volume = {54},
year = {2018},
}

TY - JOUR
AU - Abbasi, Waseem
AU - ur Rehman, Fazal
AU - Shah, Ibrahim
TI - Smooth super twisting sliding mode based steering control for nonholonomic systems transformable into chained form
JO - Kybernetika
PY - 2018
PB - Institute of Information Theory and Automation AS CR
VL - 54
IS - 3
SP - 476
EP - 495
AB - 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.
LA - eng
KW - nonholonomic mechanical systems; chained form; steering control; smooth super twisting sliding mode control and lyapunov function
UR - http://eudml.org/doc/294192
ER -

References

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