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arXiv · 2010.14018

On analytic interpolation with non-classical constraints for solving problems in robust control

Axel Ringh·Johan Karlsson·Anders Lindquist
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Abstract

In this work we consider robust stabilization of uncertain dynamical systems and show that this can be achieved by solving a non-classically constrained analytic interpolation problem. In particular, this non-classical constraint confines the range of the interpolant, when evaluated on the imaginary axis, to a frequency-dependent set. By considering a sufficient condition for when this interpolation problem has a solution, we derive an approximate solution algorithm that can also be used for controller synthesis. Finally, the theory is illustrated on a numerical example with a plant with uncertain gain, phase, and output delay.

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Axel Ringh, Johan Karlsson, Anders Lindquist. 2020-10-27. On analytic interpolation with non-classical constraints for solving problems in robust control. https://arxiv.org/abs/2010.14018

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