Safe Controlled Invariance for Linear Systems Using Sum-of-Squares Programming

Fuente: arXiv
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Main Authors: Wang, Han, Margellos, Kostas, Papachristodoulou, Antonis
Format: Preprint
Published: 2022
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author Wang, Han
Margellos, Kostas
Papachristodoulou, Antonis
author_facet Wang, Han
Margellos, Kostas
Papachristodoulou, Antonis
contents Safety is closely related to set invariance for dynamical systems. However, synthesizing a safe invariant set and at the same time synthesizing the associated safe controller still remains challenging. In this note we introduce a simple invariance-based method for linear systems with safety guarantee. The proposed method uses sum-of-squares programming.
format Preprint
id arxiv_https___arxiv_org_abs_2207_00321
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Safe Controlled Invariance for Linear Systems Using Sum-of-Squares Programming
Wang, Han
Margellos, Kostas
Papachristodoulou, Antonis
Optimization and Control
Systems and Control
Safety is closely related to set invariance for dynamical systems. However, synthesizing a safe invariant set and at the same time synthesizing the associated safe controller still remains challenging. In this note we introduce a simple invariance-based method for linear systems with safety guarantee. The proposed method uses sum-of-squares programming.
title Safe Controlled Invariance for Linear Systems Using Sum-of-Squares Programming
topic Optimization and Control
Systems and Control
url https://arxiv.org/abs/2207.00321