Taylor-Informed Predictive Cost Adaptive Control for Quadrotors with Online Gravity-Trim Adaptation

arXiv:2609.03351 2026 Dynamics 2 ideas extracted · analyzed Sep 4, 2026

What the math gives to ML

The paper contributes an adaptive predictive-control mechanism based on sparse first-, second-, and third-order Taylor dictionaries, row-wise recursive least-squares identification, variable-rate forgetting, and a Jacobian held fixed over each prediction horizon. Its transferable asset is a cheap local model that adapts rapidly after payload, actuator, or environment changes while preserving a simple finite-horizon predictor. A strong neural-network transfer is to combine a global neural world model with an online Taylor residual model for model-based reinforcement learning or MPC. A second transfer is to identify persistent force or acceleration biases in a separate adaptive trim channel rather than forcing the neural model to relearn them.

Ideas from this paper

Unverified 2026

Online Taylor Residual World Model

Augment a neural dynamics model with a sparse local Taylor residual whose coefficients are updated online by recursive least squares. Use the neural model for global behavior and the Taylor model for short-horizon prediction, where local adaptation can correct payload, friction, actuator, or environment changes without retraining the network.

Useful8/10
Difficulty5/10
Novelty6/10
Paper: Taylor-Informed Predictive Cost Adaptive Control for Quadrotors with Online Gravity-Trim Adaptation arXiv:2609.03351
Unverified 2026

Adaptive Constant-Force Trim Channel

Add a separately identified constant or slowly varying force channel to a neural dynamics model, analogous to the paper's online gravity-trim and mass adaptation. This isolates persistent low-frequency prediction bias from state-dependent dynamics, reducing repeated corrective action by the planner and avoiding expensive network retraining after a systematic shift.

Useful6/10
Difficulty3/10
Novelty5/10
Paper: Taylor-Informed Predictive Cost Adaptive Control for Quadrotors with Online Gravity-Trim Adaptation arXiv:2609.03351