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Linear-quadratic parametrization of stabilizing controls in discrete-time 2D systems

Linear-quadratic parametrization of stabilizing controls in discrete-time 2D systems
Linear-quadratic parametrization of stabilizing controls in discrete-time 2D systems
This paper considers a class of linear discrete-time 2D systems in the form of repetitive processes with uncertain parameters. Using LQR theory ideas a parametric description of stabilizing controls using output feedback is developed, which leads to the development of efficient LMI-based algorithms for computation of the gain matrix. The results are extended to repetitive processes with Markovian jumps, and a numerical example is given to demonstrate the application of the algorithm developed to the synthesis of stabilizing control laws.
2364-2378
Pakshin, P V
b49d7402-75eb-4915-9106-870574fb7c60
Galkowski, K
65b638be-b5a5-4e25-b1b8-e152c08a1cbb
Rogers, E
611b1de0-c505-472e-a03f-c5294c63bb72
Pakshin, P V
b49d7402-75eb-4915-9106-870574fb7c60
Galkowski, K
65b638be-b5a5-4e25-b1b8-e152c08a1cbb
Rogers, E
611b1de0-c505-472e-a03f-c5294c63bb72

Pakshin, P V, Galkowski, K and Rogers, E (2011) Linear-quadratic parametrization of stabilizing controls in discrete-time 2D systems. Automation and Remote Control, 72 (11), 2364-2378.

Record type: Article

Abstract

This paper considers a class of linear discrete-time 2D systems in the form of repetitive processes with uncertain parameters. Using LQR theory ideas a parametric description of stabilizing controls using output feedback is developed, which leads to the development of efficient LMI-based algorithms for computation of the gain matrix. The results are extended to repetitive processes with Markovian jumps, and a numerical example is given to demonstrate the application of the algorithm developed to the synthesis of stabilizing control laws.

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Published date: 2011

Identifiers

Local EPrints ID: 272441
URI: http://eprints.soton.ac.uk/id/eprint/272441
PURE UUID: 50238215-d4a2-4d90-9dd1-4a0377d7350f
ORCID for E Rogers: ORCID iD orcid.org/0000-0003-0179-9398

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Date deposited: 12 Jun 2011 10:01
Last modified: 05 Nov 2019 02:06

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