Invariant Manifold for Extended Nonholonomic Double Integrator Systems

Nonholonomic underactuated systems are typically modelled as highly nonlinear ones, which becomes obvious as the dimension of the system increases. Since this system cannot be stabilized by a static continuous feedback with constant gains, there are several control methods by using a canonical for...

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Main Authors: Z. M., Zain, Mohd Rizal, Arshad, M. M., Noh, Pebrianti, Dwi, N. M., Zain, K. A., A. Rahim
Format: Conference or Workshop Item
Language:English
Published: 2015
Subjects:
Online Access:http://umpir.ump.edu.my/id/eprint/11344/1/Invariant%20Manifold%20for%20Extended%20Nonholonomic%20Double%20Integrator%20Systems.pdf
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author Z. M., Zain
Mohd Rizal, Arshad
M. M., Noh
Pebrianti, Dwi
N. M., Zain
K. A., A. Rahim
author_facet Z. M., Zain
Mohd Rizal, Arshad
M. M., Noh
Pebrianti, Dwi
N. M., Zain
K. A., A. Rahim
author_sort Z. M., Zain
collection UMP
description Nonholonomic underactuated systems are typically modelled as highly nonlinear ones, which becomes obvious as the dimension of the system increases. Since this system cannot be stabilized by a static continuous feedback with constant gains, there are several control methods by using a canonical form up to now such as a chained form, a power form, a goursat normal form and a double integrator model. In this paper, we consider extended nonholonomic double integrator systems obtained by extending the Brockett nonholonomic integrator in order to expand the application of underactuated control to control the system using invariant manifold approach.
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spelling UMPir113442018-05-02T03:03:28Z http://umpir.ump.edu.my/id/eprint/11344/ Invariant Manifold for Extended Nonholonomic Double Integrator Systems Z. M., Zain Mohd Rizal, Arshad M. M., Noh Pebrianti, Dwi N. M., Zain K. A., A. Rahim TK Electrical engineering. Electronics Nuclear engineering Nonholonomic underactuated systems are typically modelled as highly nonlinear ones, which becomes obvious as the dimension of the system increases. Since this system cannot be stabilized by a static continuous feedback with constant gains, there are several control methods by using a canonical form up to now such as a chained form, a power form, a goursat normal form and a double integrator model. In this paper, we consider extended nonholonomic double integrator systems obtained by extending the Brockett nonholonomic integrator in order to expand the application of underactuated control to control the system using invariant manifold approach. 2015 Conference or Workshop Item PeerReviewed application/pdf en http://umpir.ump.edu.my/id/eprint/11344/1/Invariant%20Manifold%20for%20Extended%20Nonholonomic%20Double%20Integrator%20Systems.pdf Z. M., Zain and Mohd Rizal, Arshad and M. M., Noh and Pebrianti, Dwi and N. M., Zain and K. A., A. Rahim (2015) Invariant Manifold for Extended Nonholonomic Double Integrator Systems. In: International Conferences on Electrical, Control and Computer Engineering (INECCE2015) , 27-28 Oct 2015 , Kuantan, Pahang. . (Unpublished)
spellingShingle TK Electrical engineering. Electronics Nuclear engineering
Z. M., Zain
Mohd Rizal, Arshad
M. M., Noh
Pebrianti, Dwi
N. M., Zain
K. A., A. Rahim
Invariant Manifold for Extended Nonholonomic Double Integrator Systems
title Invariant Manifold for Extended Nonholonomic Double Integrator Systems
title_full Invariant Manifold for Extended Nonholonomic Double Integrator Systems
title_fullStr Invariant Manifold for Extended Nonholonomic Double Integrator Systems
title_full_unstemmed Invariant Manifold for Extended Nonholonomic Double Integrator Systems
title_short Invariant Manifold for Extended Nonholonomic Double Integrator Systems
title_sort invariant manifold for extended nonholonomic double integrator systems
topic TK Electrical engineering. Electronics Nuclear engineering
url http://umpir.ump.edu.my/id/eprint/11344/1/Invariant%20Manifold%20for%20Extended%20Nonholonomic%20Double%20Integrator%20Systems.pdf
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AT nmzain invariantmanifoldforextendednonholonomicdoubleintegratorsystems
AT kaarahim invariantmanifoldforextendednonholonomicdoubleintegratorsystems