<abstract xmlns="http://www.w3.org/1999/xhtml"><p> The control of nonholonomic canonical form using an invariant manifold is investigated to apply to a mobile robot steered by two independent driving wheels. A quasi-continuous exponential stabilizing controller is designed by using another input pattern. Additionally, the control gain designing method is proposed for this controller. Modified error system of nonholonomic double integrator model is used as nonholonomic canonical form. Generally, the gain cannot be calculated due to the non-linear transform of system. Owing to complicated relation of several parameters, the controller behavior is inconstant by gain pattern. We propose a method of designing gain which uses desired settling time. An approximate equation to obtain designed gains is derived based on the evaluation function. The design method to determine gains of the assumed actual system is simulated. The effectiveness of the proposed method is confirmed by these simulations.</p></abstract>

The control of nonholonomic canonical form using an invariant manifold is investigated to apply to a mobile robot steered by two independent driving wheels. A quasi-continuous exponential stabilizing controller is designed by using another input pattern. Additionally, the control gain designing method is proposed for this controller. Modified error system of nonholonomic double integrator model is used as nonholonomic canonical form. Generally, the gain cannot be calculated due to the non-linear transform of system. Owing to complicated relation of several parameters, the controller behavior is inconstant by gain pattern. We propose a method of designing gain which uses desired settling time. An approximate equation to obtain designed gains is derived based on the evaluation function. The design method to determine gains of the assumed actual system is simulated. The effectiveness of the proposed method is confirmed by these simulations.

Gain Design of Quasi-Continuous Exponential Stabilizing Controller for a Nonholonomic Mobile Robot

Department of Science and Advanced Technology, Saga University, Saga, Japan

Department of Mechanical Enginnering, Saga University, Saga, Japan

Journal of Artificial Intelligence and Soft Computing Research

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

The control of nonholonomic canonical form using an invariant manifold is investigated to apply to a mobile robot steered by two independent driving wheels. A...

Gain Design of Quasi-Continuous Exponential Stabilizing Controller for a Nonholonomic Mobile Robot

Published Online: Jun 10, 2016

Page range: 189 - 201

DOI: https://doi.org/10.1515/jaiscr-2016-0014

Keywords
gain design, nonholonomic canonical form, exponential stabilized control, mobile robot

© 2016

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Gain Design of Quasi-Continuous Exponential Stabilizing Controller for a Nonholonomic Mobile Robot

Published Online: Jun 10, 2016

Page range: 189 - 201

DOI: https://doi.org/10.1515/jaiscr-2016-0014

Keywordsgain design, nonholonomic canonical form, exponential stabilized control, mobile robot

© 2016

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
gain design, nonholonomic canonical form, exponential stabilized control, mobile robot