Work

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

Year: 2022

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2201.01059

Authors: Apkarian, Pierre, Noll, Dominikus

Institutions: Office National d'Études et de Recherches Aérospatiales, Toulouse Mathematics Institute, Université de Toulouse, Institut de Mathématiques de Toulouse

Language: English

Topic: Stability and Control of Uncertain Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4221154938

Cites: 52

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Related to: 10