The Internal Model Principle for Systems with Unbounded Control and Observation

Lassi Paunonen; Seppo Pohjolainen

doi:10.1137/130921362

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arXiv · 1409.1773

The Internal Model Principle for Systems with Unbounded Control and Observation

Lassi Paunonen·Seppo Pohjolainen

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Abstract

In this paper the theory of robust output regulation of distributed parameter systems with infinite-dimensional exosystems is extended for plants with unbounded control and observation. As the main result, we present the internal model principle for linear infinite-dimensional systems with unbounded input and output operators. We do this for two different definitions of an internal model found in the literature, namely, the p-copy internal model and the $\mathcal{G}$-conditions. We also introduce a new way of defining an internal model for infinite-dimensional systems. The theoretic results are illustrated with an example where we consider robust output tracking for a one-dimensional heat equation with boundary control and pointwise measurements.

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BibTeX RIS

Lassi Paunonen, Seppo Pohjolainen. 2014-09-05. The Internal Model Principle for Systems with Unbounded Control and Observation. https://doi.org/10.1137/130921362

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