Control Design for Distributed-parameter Systems via Parametrization
| Authors: | Nihtilä Markku, University of Kuopio, Finland
Tervo Jouko, University of Kuopio, Finland
Kokkonen Petri, University of Kuopio, Finland |
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| Topic: | 2.1 Control Design |
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| Session: | Control of Linear Systems III |
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| Keywords: | Partial differential systems, Parametrization, Pseudo-differential operators, Heat system, Open-loop design |
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Abstract
A methodology, called by the name parametrization, is presented here for calculating open-loop controls for linear distributed-parameter systems. It is based on the theory of certain type of pseudo-differential operators. These operators have features which are useful from practical and computational viewpoints. The operators form an algebra, and their inverses belong to the calculus, too. Boundary conditions always present in real-life problems are naturally included in the operator structures. Consequently, their defining elements, so-called symbols, have transfer function like properties. However, more complicated than only rational symbols are included in the calculus.
