Graph-Based Convexification of Nested Signal Temporal Logic Constraints for Trajectory Optimization

Fuente: arXiv
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Autori principali: Claudet, Thomas, Martire, Davide, Losa, Damiana, Sanfedino, Francesco, Alazard, Daniel
Natura: Preprint
Pubblicazione: 2023
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author Claudet, Thomas
Martire, Davide
Losa, Damiana
Sanfedino, Francesco
Alazard, Daniel
author_facet Claudet, Thomas
Martire, Davide
Losa, Damiana
Sanfedino, Francesco
Alazard, Daniel
contents Optimizing high-level mission planning constraints is traditionally solved in exponential time and requires to split the problem into several ones, making the connections between them a convoluted task. This paper aims at generalizing recent works on the convexification of Signal Temporal Logic (STL) constraints converting them into linear approximations. Graphs are employed to build general linguistic semantics based on key words (such as Not, And, Or, Eventually, Always), and super-operators (e.g., Until, Implies, If and Only If) based on already defined ones. Numerical validations demonstrate the performance of the proposed approach on two practical use-cases of satellite optimal guidance using a modified Successive Convexification scheme.
format Preprint
id arxiv_https___arxiv_org_abs_2310_13938
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Graph-Based Convexification of Nested Signal Temporal Logic Constraints for Trajectory Optimization
Claudet, Thomas
Martire, Davide
Losa, Damiana
Sanfedino, Francesco
Alazard, Daniel
Optimization and Control
Dynamical Systems
Optimizing high-level mission planning constraints is traditionally solved in exponential time and requires to split the problem into several ones, making the connections between them a convoluted task. This paper aims at generalizing recent works on the convexification of Signal Temporal Logic (STL) constraints converting them into linear approximations. Graphs are employed to build general linguistic semantics based on key words (such as Not, And, Or, Eventually, Always), and super-operators (e.g., Until, Implies, If and Only If) based on already defined ones. Numerical validations demonstrate the performance of the proposed approach on two practical use-cases of satellite optimal guidance using a modified Successive Convexification scheme.
title Graph-Based Convexification of Nested Signal Temporal Logic Constraints for Trajectory Optimization
topic Optimization and Control
Dynamical Systems
url https://arxiv.org/abs/2310.13938