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arXiv · 2201.01059

Mixed $L_1/H_\infty$-synthesis for $L_\infty$-stability

Pierre Apkarian·Dominikus Noll
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Abstract

We consider stabilization and performance optimization of non-linear controlled systems, where the non-linearity satisfies a sector constraint asymptotically. This leads to optimization of the closed loop peak-to-peak system norm subject to $H_\infty$-performance constraints. Non-linear controlled systems tuned successfully by this novel approach are locally exponentially stable and globally BIBO-stable.

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Pierre Apkarian, Dominikus Noll. 2022-01-04. Mixed $L_1/H_\infty$-synthesis for $L_\infty$-stability. https://arxiv.org/abs/2201.01059

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