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Robust Control of Discrete Linear Repetitive Processes with Parameter Varying Uncertainty

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Numerical Linear Algebra in Signals, Systems and Control

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 80))

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Abstract

Repetitive processes propagate information in two independent directions where the duration of one of these is infinite.

They pose control problems that cannot be solved by application of results for other classes of 2D systems. This paper develops robust controller design algorithms for discrete linear processes based on the poly-quadratic stability that produce less conservative results than currently available alternatives.

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Author information

Authors and Affiliations

  1. Institute of Control and Computation Engineering, University of Zielona Góra, ul. Podgórna 50, 65-246, Zielona Gora, Poland

    Błażej Cichy & Krzysztof Gałkowski

  2. School of Electronics and Computer Science, University of Southampton, Southampton, SO17 1BJ, UK

    Eric Rogers

  3. Faculty of Electrical, Information and Media Engineering, University of Wuppertal, Rainer-Gruenter-Strasse 21, 42119, Wuppertal, Germany

    Anton Kummert

Authors
  1. Błażej Cichy
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  2. Krzysztof Gałkowski
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  3. Eric Rogers
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  4. Anton Kummert
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Corresponding author

Correspondence to Błażej Cichy .

Editor information

Editors and Affiliations

  1. CESAME, Batiment Euler, Universite Catholique de Louvain, 4, avenue Georges Lemaitre, Louvain la Neuve, 1348, Belgium

    Paul Van Dooren

  2. Department of Electrical and Computer, Engineering, Texas A&M University, Zachry Engineering Center, College Station, 77843-3128, Texas, USA

    Shankar P. Bhattacharyya

  3. Dept. Mathematics, Chinese University Hong Kong, Shatin, New Territories, Hong Kong/PR China

    Raymond H. Chan

  4. Dept. Mathematics, University of Connecticut, Auditorium Road 196, Storrs, 06269-3009, Connecticut, USA

    Vadim Olshevsky

  5. , Electrical Engineering, Indian Institute of Technology, Kharagpur, 721302, India

    Aurobinda Routray

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Cichy, B., Gałkowski, K., Rogers, E., Kummert, A. (2011). Robust Control of Discrete Linear Repetitive Processes with Parameter Varying Uncertainty. In: Van Dooren, P., Bhattacharyya, S., Chan, R., Olshevsky, V., Routray, A. (eds) Numerical Linear Algebra in Signals, Systems and Control. Lecture Notes in Electrical Engineering, vol 80. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0602-6_9

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  • DOI: https://doi.org/10.1007/978-94-007-0602-6_9

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-0601-9

  • Online ISBN: 978-94-007-0602-6

  • eBook Packages: EngineeringEngineering (R0)

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