Data-driven Fuzzy Control for Time-Optimal Aggressive Trajectory Following

Fuente: arXiv
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Autores principales: Phelps, August, Salazar, Juan Augusto Paredes, Goel, Ankit
Formato: Preprint
Publicado: 2025
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author Phelps, August
Salazar, Juan Augusto Paredes
Goel, Ankit
author_facet Phelps, August
Salazar, Juan Augusto Paredes
Goel, Ankit
contents Optimal trajectories that minimize a user-defined cost function in dynamic systems require the solution of a two-point boundary value problem. The optimization process yields an optimal control sequence that depends on the initial conditions and system parameters. However, the optimal sequence may result in undesirable behavior if the system's initial conditions and parameters are erroneous. This work presents a data-driven fuzzy controller synthesis framework that is guided by a time-optimal trajectory for multicopter tracking problems. In particular, we consider an aggressive maneuver consisting of a mid-air flip and generate a time-optimal trajectory by numerically solving the two-point boundary value problem. A fuzzy controller consisting of a stabilizing controller near hover conditions and an autoregressive moving average (ARMA) controller, trained to mimic the time-optimal aggressive trajectory, is constructed using the Takagi-Sugeno fuzzy framework.
format Preprint
id arxiv_https___arxiv_org_abs_2504_06500
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Data-driven Fuzzy Control for Time-Optimal Aggressive Trajectory Following
Phelps, August
Salazar, Juan Augusto Paredes
Goel, Ankit
Systems and Control
Machine Learning
Robotics
Optimal trajectories that minimize a user-defined cost function in dynamic systems require the solution of a two-point boundary value problem. The optimization process yields an optimal control sequence that depends on the initial conditions and system parameters. However, the optimal sequence may result in undesirable behavior if the system's initial conditions and parameters are erroneous. This work presents a data-driven fuzzy controller synthesis framework that is guided by a time-optimal trajectory for multicopter tracking problems. In particular, we consider an aggressive maneuver consisting of a mid-air flip and generate a time-optimal trajectory by numerically solving the two-point boundary value problem. A fuzzy controller consisting of a stabilizing controller near hover conditions and an autoregressive moving average (ARMA) controller, trained to mimic the time-optimal aggressive trajectory, is constructed using the Takagi-Sugeno fuzzy framework.
title Data-driven Fuzzy Control for Time-Optimal Aggressive Trajectory Following
topic Systems and Control
Machine Learning
Robotics
url https://arxiv.org/abs/2504.06500