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Strong practical stability and stabilization of discrete linear repetitive processes

Strong practical stability and stabilization of discrete linear repetitive processes
Strong practical stability and stabilization of discrete linear repetitive processes
This paper considers two-dimensional (2D) discrete linear systems recursive over the upper right quadrant described by well known state-space models. Included are discrete linear repetitive processes that evolve over subset of this quadrant. A stability theory exists for these processes based on a bounded-input bounded-output approach and there has also been work on the design of stabilizing control laws, elements of which have led to the assertion that this stability theory is too strong in many cases of applications interest. This paper develops so-called strong practical stability as an alternative in such cases. The analysis includes computationally efficient tests that lead directly to the design of stabilizing control laws, including the case when there is uncertainty associated with the process model. The results are illustrated by application to a linear model approximation of the dynamics of a metal rolling process.
311-331
Dabkowski, P
70e4f9ba-9370-45f9-b409-cccc563a2d8c
Galkowski, K
65b638be-b5a5-4e25-b1b8-e152c08a1cbb
Rogers, Eric
611b1de0-c505-472e-a03f-c5294c63bb72
Kummert, A
c665cd90-e430-47d3-9dfb-0ab3419c747f
Dabkowski, P
70e4f9ba-9370-45f9-b409-cccc563a2d8c
Galkowski, K
65b638be-b5a5-4e25-b1b8-e152c08a1cbb
Rogers, Eric
611b1de0-c505-472e-a03f-c5294c63bb72
Kummert, A
c665cd90-e430-47d3-9dfb-0ab3419c747f

Dabkowski, P, Galkowski, K, Rogers, Eric and Kummert, A (2009) Strong practical stability and stabilization of discrete linear repetitive processes. Multidimensional Systems and Signal Processing, 20, 311-331.

Record type: Article

Abstract

This paper considers two-dimensional (2D) discrete linear systems recursive over the upper right quadrant described by well known state-space models. Included are discrete linear repetitive processes that evolve over subset of this quadrant. A stability theory exists for these processes based on a bounded-input bounded-output approach and there has also been work on the design of stabilizing control laws, elements of which have led to the assertion that this stability theory is too strong in many cases of applications interest. This paper develops so-called strong practical stability as an alternative in such cases. The analysis includes computationally efficient tests that lead directly to the design of stabilizing control laws, including the case when there is uncertainty associated with the process model. The results are illustrated by application to a linear model approximation of the dynamics of a metal rolling process.

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Published date: 2009
Organisations: Southampton Wireless Group

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Local EPrints ID: 267796
URI: https://eprints.soton.ac.uk/id/eprint/267796
PURE UUID: 04903269-cb1a-476f-87af-b70e55c45ca8

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Date deposited: 26 Aug 2009 09:47
Last modified: 18 Jul 2017 07:00

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