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Control law design for discrete linear repetitive processes with non-local updating structures

Control law design for discrete linear repetitive processes with non-local updating structures
Control law design for discrete linear repetitive processes with non-local updating structures
Repetitive processes are a class of 2D systems where information propagation in one direction is of finite duration. These processes make a series of sweeps, termed passes, through a set of dynamics and on completion of each pass resetting to the starting position occurs ready for the start of the next pass. The control problem is that the previous pass output, termed the pass profile, acts as a forcing function on the current pass and can result in oscillations that increase in amplitude from pass-to-pass. In the case of discrete dynamics, these processes have structural links with 2D systems described by the well known Roesser and Fornasini–Marchesini state-space models but some applications require updating structures that cannot be represented by these models. This requirement arises either in adequately modeling the dynamics or as a result of the control law structure and requires the development of a systems theory for eventual use in applications. In this paper such a theory is advanced through the development of new control law design algorithms.
707-726
Cichy, B.
3473093e-3203-4acf-b06f-5dc999fac942
Galkowski, K.
40c02cf5-8fcb-44de-bb1e-f9f70fdd265d
Rogers, E.
611b1de0-c505-472e-a03f-c5294c63bb72
Kummert, A.
1a0e6944-b607-4b73-a5cc-839a6f5fc9e7
Cichy, B.
3473093e-3203-4acf-b06f-5dc999fac942
Galkowski, K.
40c02cf5-8fcb-44de-bb1e-f9f70fdd265d
Rogers, E.
611b1de0-c505-472e-a03f-c5294c63bb72
Kummert, A.
1a0e6944-b607-4b73-a5cc-839a6f5fc9e7

Cichy, B., Galkowski, K., Rogers, E. and Kummert, A. (2013) Control law design for discrete linear repetitive processes with non-local updating structures. Multidimensional Systems and Signal Processing, 24 (4), 707-726. (doi:10.1007/s11045-012-0199-y).

Record type: Article

Abstract

Repetitive processes are a class of 2D systems where information propagation in one direction is of finite duration. These processes make a series of sweeps, termed passes, through a set of dynamics and on completion of each pass resetting to the starting position occurs ready for the start of the next pass. The control problem is that the previous pass output, termed the pass profile, acts as a forcing function on the current pass and can result in oscillations that increase in amplitude from pass-to-pass. In the case of discrete dynamics, these processes have structural links with 2D systems described by the well known Roesser and Fornasini–Marchesini state-space models but some applications require updating structures that cannot be represented by these models. This requirement arises either in adequately modeling the dynamics or as a result of the control law structure and requires the development of a systems theory for eventual use in applications. In this paper such a theory is advanced through the development of new control law design algorithms.

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Published date: 2013
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 353078
URI: http://eprints.soton.ac.uk/id/eprint/353078
PURE UUID: 20f6d229-5205-4dab-bd29-6dc3cc971e6f
ORCID for E. Rogers: ORCID iD orcid.org/0000-0003-0179-9398

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Date deposited: 29 May 2013 12:01
Last modified: 20 Jul 2019 01:23

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