Prescribed Performance Control of Unknown Euler-Lagrange Systems Under Input Constraints

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Hauptverfasser: Das, Ratnangshu, Jagtap, Pushpak
Format: Preprint
Veröffentlicht: 2025
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author Das, Ratnangshu
Jagtap, Pushpak
author_facet Das, Ratnangshu
Jagtap, Pushpak
contents In this paper, we present a prescribed performance control framework for trajectory tracking in Euler-Lagrange systems with unknown dynamics and prescribed input constraints. The proposed approach enforces hard funnel constraints, meaning that the prescribed performance bounds must not be violated during operation. We derive feasibility conditions that guarantee the tracking error evolves within these predefined funnels while ensuring bounded control inputs. To handle situations where the feasibility conditions are not satisfied, we introduce two approximation-free control strategies: one that actively drives the error back toward the funnel and another that prioritizes safety by preventing further deviation. The effectiveness and robustness of the proposed method are demonstrated through simulation studies and hardware experiments, highlighting its suitability for real-world robotic systems operating under strict input limits.
format Preprint
id arxiv_https___arxiv_org_abs_2507_01426
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Prescribed Performance Control of Unknown Euler-Lagrange Systems Under Input Constraints
Das, Ratnangshu
Jagtap, Pushpak
Robotics
Systems and Control
In this paper, we present a prescribed performance control framework for trajectory tracking in Euler-Lagrange systems with unknown dynamics and prescribed input constraints. The proposed approach enforces hard funnel constraints, meaning that the prescribed performance bounds must not be violated during operation. We derive feasibility conditions that guarantee the tracking error evolves within these predefined funnels while ensuring bounded control inputs. To handle situations where the feasibility conditions are not satisfied, we introduce two approximation-free control strategies: one that actively drives the error back toward the funnel and another that prioritizes safety by preventing further deviation. The effectiveness and robustness of the proposed method are demonstrated through simulation studies and hardware experiments, highlighting its suitability for real-world robotic systems operating under strict input limits.
title Prescribed Performance Control of Unknown Euler-Lagrange Systems Under Input Constraints
topic Robotics
Systems and Control
url https://arxiv.org/abs/2507.01426