Homogeneous Control Systems on Cones and Nonovershooting Finite-time Stabilizers
Optimization and Control
2023-05-17 v1 Systems and Control
Systems and Control
Abstract
A nonovershooting finite-time control design for linear multi-input system is proposed by upgrading a linear (asymptotic) nonovershooting stabilizer to a homogeneous one. Robustness of the safety and stability properties is analyzed using the concept of Input-to-State Stability (ISS) on invariant sets and Input-to-State Safety (ISSf). Theoretical results are illustrated on numerical examples.
Keywords
Cite
@article{arxiv.2305.08951,
title = {Homogeneous Control Systems on Cones and Nonovershooting Finite-time Stabilizers},
author = {Andrey Polyakov and Miroslav Krstic},
journal= {arXiv preprint arXiv:2305.08951},
year = {2023}
}