A note on discrete-time stabilization of Hamiltonian systems
A note on discrete-time stabilization of Hamiltonian systems
In this paper we present some preliminary results on the stabilization problem for Hamiltonian systems using approximate discrete-time models. The issues of constructing a discrete-time model for Hamiltonian system are in general different from those for dissipative systems. We propose an algorithm for constructing an approximate discrete-time model, which guarantees the Hamiltonian conservation, and apply the algorithm to a class of port-controlled Hamiltonian systems. We illustrate the usefulness of the algorithm in designing a discrete-time controller to stabilize the angular velocity of a rigid body.
Laila, Dina Shona
41aa5cf9-3ec2-4fdf-970d-a0a349bfd90c
Astolfi, Alessandro
3045f9a9-e8f3-4f19-9f5d-08364de75cdb
1 September 2004
Laila, Dina Shona
41aa5cf9-3ec2-4fdf-970d-a0a349bfd90c
Astolfi, Alessandro
3045f9a9-e8f3-4f19-9f5d-08364de75cdb
Laila, Dina Shona and Astolfi, Alessandro
(2004)
A note on discrete-time stabilization of Hamiltonian systems.
6th Symposium on Nonlinear Control Systems (NOLCOS 2004), Stuttgart, Germany.
31 Aug - 02 Sep 2004.
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Abstract
In this paper we present some preliminary results on the stabilization problem for Hamiltonian systems using approximate discrete-time models. The issues of constructing a discrete-time model for Hamiltonian system are in general different from those for dissipative systems. We propose an algorithm for constructing an approximate discrete-time model, which guarantees the Hamiltonian conservation, and apply the algorithm to a class of port-controlled Hamiltonian systems. We illustrate the usefulness of the algorithm in designing a discrete-time controller to stabilize the angular velocity of a rigid body.
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Published date: 1 September 2004
Venue - Dates:
6th Symposium on Nonlinear Control Systems (NOLCOS 2004), Stuttgart, Germany, 2004-08-31 - 2004-09-02
Organisations:
Mechatronics
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Local EPrints ID: 353762
URI: http://eprints.soton.ac.uk/id/eprint/353762
PURE UUID: b4dceb79-c2f5-4bfb-8ef2-c99630e033d3
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Date deposited: 17 Jun 2013 10:59
Last modified: 08 Jan 2022 00:20
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Contributors
Author:
Dina Shona Laila
Author:
Alessandro Astolfi
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