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...

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Bibliographic Details
Main Authors: Pakshin, P V (Author), Galkowski, K (Author), Rogers, E (Author)
Format: Article
Language:English
Published: 2011.
Subjects:
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100 1 0 |a Pakshin, P V  |e author 
700 1 0 |a Galkowski, K  |e author 
700 1 0 |a Rogers, E  |e author 
245 0 0 |a Linear-quadratic parametrization of stabilizing controls in discrete-time 2D systems 
260 |c 2011. 
856 |z Get fulltext  |u https://eprints.soton.ac.uk/272441/1/PGR_Letov_eng_mod_%25283%2529.pdf 
856 |z Get fulltext  |u https://eprints.soton.ac.uk/272441/2/automationand%2520remotecontrol.pdf 
520 |a 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. 
655 7 |a Article