The variables in multidimensional systems are functions of more than one indeterminate, and such systems cannot be controlled by standard systems theory. This paper considers a subclass of these systems that operate over a subset of the upper-right quadrant of the two-dimensional (2D) plane in the discrete domain with a specified recursive structure known as repetitive processes. Physical examples of such processes are known and also their representations can be used in the analysis of other classes of systems, such as iterative learning control. This paper gives new results on the use of the parameter-dependent Lyapunov functions for stability analysis and controls law design of a subclass of repetitive processes that arise in application areas. These results aim to eliminate or reduce the effects of model parameter uncertainty.
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June 2015
Research Papers
Parameter-Dependent Lyapunov Functions in the Robust Control of Discrete Linear Repetitive Processes Using Previous Pass-Windowed Information
Błażej Cichy
,
Błażej Cichy
Institute of Control and Computation Engineering,
University of Zielona Góra
, ul. Podgórna 50, 65-246 Zielona Góra
, Poland
e-mail: b.cichy@issi.uz.zgora.pl
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Krzysztof Galkowski
,
Krzysztof Galkowski
Institute of Control and Computation Engineering,
University of Zielona Góra
, ul. Podgórna 50, 65-246 Zielona Góra
, Poland
e-mail: k.galkowski@issi.uz.zgora.pl
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Eric Rogers
Eric Rogers
Electronics and Computer Science,
University of Southampton
, Southampton SO17 1BJ
, UK
e-mail: etar@ecs.soton.ac.uk
Search for other works by this author on:
Błażej Cichy
Institute of Control and Computation Engineering,
University of Zielona Góra
, ul. Podgórna 50, 65-246 Zielona Góra
, Poland
e-mail: b.cichy@issi.uz.zgora.pl
Krzysztof Galkowski
Institute of Control and Computation Engineering,
University of Zielona Góra
, ul. Podgórna 50, 65-246 Zielona Góra
, Poland
e-mail: k.galkowski@issi.uz.zgora.pl
Eric Rogers
Electronics and Computer Science,
University of Southampton
, Southampton SO17 1BJ
, UK
e-mail: etar@ecs.soton.ac.ukManuscript received August 23, 2014; final manuscript received February 24, 2015; published online April 20, 2015. Assoc. Editor: Athanasios Pantelous.
ASME J. Risk Uncertainty Part B. Jun 2015, 1(2): 021008 (12 pages)
Published Online: April 20, 2015
Article history
Received:
August 23, 2014
Revision Received:
February 24, 2015
Accepted:
March 4, 2015
Online:
April 20, 2015
Citation
Cichy, B., Galkowski, K., and Rogers, E. (April 20, 2015). "Parameter-Dependent Lyapunov Functions in the Robust Control of Discrete Linear Repetitive Processes Using Previous Pass-Windowed Information." ASME. ASME J. Risk Uncertainty Part B. June 2015; 1(2): 021008. https://doi.org/10.1115/1.4029971
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