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Main Authors: Gao, Shuai, Shen, Dong, Tayebi, Abdelhamid
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2602.00968
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author Gao, Shuai
Shen, Dong
Tayebi, Abdelhamid
author_facet Gao, Shuai
Shen, Dong
Tayebi, Abdelhamid
contents We address the tracking problem for a class of uncertain non-affine nonlinear systems with high relative degrees, performing non-repetitive tasks. We propose a rigorously proven, robust adaptive learning control scheme that relies on a gradient descent parameter adaptation law to handle the unknown time-varying parameters of the system, along with a state estimator that estimates the unmeasurable state variables. Furthermore, despite the inherently complex nature of the non-affine system, we provide an explicit iterative computation method to facilitate the implementation of the proposed control scheme. The paper includes a thorough analysis of the performance of the proposed control strategy, and simulation results are presented to demonstrate the effectiveness of the approach.
format Preprint
id arxiv_https___arxiv_org_abs_2602_00968
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Robust Adaptive Learning Control for a Class of Non-affine Nonlinear Systems
Gao, Shuai
Shen, Dong
Tayebi, Abdelhamid
Systems and Control
We address the tracking problem for a class of uncertain non-affine nonlinear systems with high relative degrees, performing non-repetitive tasks. We propose a rigorously proven, robust adaptive learning control scheme that relies on a gradient descent parameter adaptation law to handle the unknown time-varying parameters of the system, along with a state estimator that estimates the unmeasurable state variables. Furthermore, despite the inherently complex nature of the non-affine system, we provide an explicit iterative computation method to facilitate the implementation of the proposed control scheme. The paper includes a thorough analysis of the performance of the proposed control strategy, and simulation results are presented to demonstrate the effectiveness of the approach.
title Robust Adaptive Learning Control for a Class of Non-affine Nonlinear Systems
topic Systems and Control
url https://arxiv.org/abs/2602.00968