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H2 control of Differential Linear Repetitive Processes

Authors:Paszke Wojciech, University of Zielona Gora, Poland
Galkowski Krzysztof, University of Wuppertal, Poland
Rogers Eric, University of Southampton, United Kingdom
Owens David H., University of Sheffield, United Kingdom
Topic:2.2 Linear Control Systems
Session:Multidimensional Systems in Control and Telecommunications
Keywords: H-2 control, differential linear repetitive processes, linearmatrix inequalities.

Abstract

Repetitive processes are a distinct class of two-dimensionalsystems (i.e. information propagation in two independentdirections) of both systems theoretic and applications interest.They cannot be controlled by direct extension of existingtechniques from either standard (termed 1D here) ortwo-dimensional (2D) systems theory. Here we give new results onthe design of physically based control laws using an H-2setting. These results are for the sub-class of so-calleddifferential linear repetitive processes which arise inapplications areas such as iterative learning control.