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Higher order discretisations methods for a class of 2D continuous-discrete linear systems

Higher order discretisations methods for a class of 2D continuous-discrete linear systems
Higher order discretisations methods for a class of 2D continuous-discrete linear systems
Differential linear repetitive processes are a distinct class of two-dimensional linear systems which can be used, for example, to model industrial processes such as long-wall coal cutting operations. Also they can be used to study key properties of classes of linear iterative learning schemes. The key feautre of interest in this paper is the fact that information propragation in one of the two separate directions in such processes evolves continuously over a finite fixed duration and in the other direction it is, in effect, discrete. The paper develops discrete approximations for the dynamics of these processes and examines the effects of the approximation techniques used on two key systems-related properties. These are stability and the structure of the resulting discrete state-space models. Some ongoing work and areas for further development are also briefly noted.
315-320
Galkowski, K
65b638be-b5a5-4e25-b1b8-e152c08a1cbb
Rogers, E
611b1de0-c505-472e-a03f-c5294c63bb72
Gramacki, A
81a4c5dc-38e3-4c12-9d6c-33f279bce979
Gramacki, J
a0cf3eed-40ec-4a35-8403-a31f528fb070
Owens, D H
d1838c62-b96e-4710-9e5a-ed097fae28f6
Galkowski, K
65b638be-b5a5-4e25-b1b8-e152c08a1cbb
Rogers, E
611b1de0-c505-472e-a03f-c5294c63bb72
Gramacki, A
81a4c5dc-38e3-4c12-9d6c-33f279bce979
Gramacki, J
a0cf3eed-40ec-4a35-8403-a31f528fb070
Owens, D H
d1838c62-b96e-4710-9e5a-ed097fae28f6

Galkowski, K, Rogers, E, Gramacki, A, Gramacki, J and Owens, D H (1999) Higher order discretisations methods for a class of 2D continuous-discrete linear systems. IEE Proceedings on Circuits, Devices and Systems, 146 (6), 315-320.

Record type: Article

Abstract

Differential linear repetitive processes are a distinct class of two-dimensional linear systems which can be used, for example, to model industrial processes such as long-wall coal cutting operations. Also they can be used to study key properties of classes of linear iterative learning schemes. The key feautre of interest in this paper is the fact that information propragation in one of the two separate directions in such processes evolves continuously over a finite fixed duration and in the other direction it is, in effect, discrete. The paper develops discrete approximations for the dynamics of these processes and examines the effects of the approximation techniques used on two key systems-related properties. These are stability and the structure of the resulting discrete state-space models. Some ongoing work and areas for further development are also briefly noted.

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Published date: 1999
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 252223
URI: http://eprints.soton.ac.uk/id/eprint/252223
PURE UUID: d518a096-d244-4896-a5b2-1f166397c42d
ORCID for E Rogers: ORCID iD orcid.org/0000-0003-0179-9398

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Date deposited: 04 Mar 2004
Last modified: 10 Dec 2019 01:57

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