A Feedback Linearized Model Predictive Control Strategy for Input-Constrained Self-Driving Cars

Fuente: arXiv
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Main Authors: Tiriolo, Cristian, Lucia, Walter
Format: Preprint
Published: 2024
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author Tiriolo, Cristian
Lucia, Walter
author_facet Tiriolo, Cristian
Lucia, Walter
contents This paper proposes a novel real-time affordable solution to the trajectory tracking control problem for self-driving cars subject to longitudinal and steering angular velocity constraints. To this end, we develop a dual-mode Model Predictive Control (MPC) solution starting from an input-output feedback linearized description of the vehicle kinematics. First, we derive the state-dependent input constraints acting on the linearized model and characterize their worst-case time-invariant inner approximation. Then, a dual-mode MPC is derived to be real-time affordable and ensuring, by design, constraints fulfillment, recursive feasibility, and uniformly ultimate boundedness of the tracking error in an ad-hoc built robust control invariant region. The approach's effectiveness and performance are experimentally validated via laboratory experiments on a Quanser Qcar. The obtained results show that the proposed solution is computationally affordable and with tracking capabilities that outperform two alternative control schemes.
format Preprint
id arxiv_https___arxiv_org_abs_2405_01753
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A Feedback Linearized Model Predictive Control Strategy for Input-Constrained Self-Driving Cars
Tiriolo, Cristian
Lucia, Walter
Systems and Control
Optimization and Control
This paper proposes a novel real-time affordable solution to the trajectory tracking control problem for self-driving cars subject to longitudinal and steering angular velocity constraints. To this end, we develop a dual-mode Model Predictive Control (MPC) solution starting from an input-output feedback linearized description of the vehicle kinematics. First, we derive the state-dependent input constraints acting on the linearized model and characterize their worst-case time-invariant inner approximation. Then, a dual-mode MPC is derived to be real-time affordable and ensuring, by design, constraints fulfillment, recursive feasibility, and uniformly ultimate boundedness of the tracking error in an ad-hoc built robust control invariant region. The approach's effectiveness and performance are experimentally validated via laboratory experiments on a Quanser Qcar. The obtained results show that the proposed solution is computationally affordable and with tracking capabilities that outperform two alternative control schemes.
title A Feedback Linearized Model Predictive Control Strategy for Input-Constrained Self-Driving Cars
topic Systems and Control
Optimization and Control
url https://arxiv.org/abs/2405.01753