Controllability and quadratic stabilization of a class of discrete linear repetitive processes
| Authors: | Galkowski Krzysztof, U. Wuppertal - G. Mercator Guest Profesor, U. Zielona Gora - on sabatical, Poland
Cichy Blazej, U. Zielona Gora, Poland
Rogers Eric, U. Southampton, United Kingdom
Jank Gerhard, RWTH, Aachen, Germany |
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| Topic: | 2.2 Linear Control Systems |
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| Session: | Analysis and Synthesis of Linear Control Systems II |
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| Keywords: | repetitive processes, 2D sytems, quadratic stability, stabilisation, LMI |
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Abstract
Repetitive processes are a~distinct class of two-dimensional systems(i.e. information propagation in two independent directions) of bothsystems theoretic and applications interest. They cannot be controlledby direct extension of existing techniques from either standard (termed1D here) or two-dimensional (2D) systems theory. In this paper wedefine a new model for these processes necessary to represent dynamicswhich arise in some applications areas and which are not included inthe currently used model. Then we proceed to define quadraticstability for this case and develop the first results on a controltheory in the form of pass controllability and the design of physicallybased control laws.
