Work

Barrier Lyapunov Functions and Model Reference Adaptive Control with Uncertainty in Native Spaces

Year: 2025

Type: article

Abstract: Nonparametric model reference adaptive control (MRAC) theory studies a novel class of nonlinear control systems able to counter functional uncertainties for which no parameterization is selected a priori, and which are contained in a reproducing kernel Hilbert space (RKHS). This paper presents, for the first time, robust nonparametric MRAC systems that, employing barrier Lyapunov functions, enforce user-defined time-varying constraints, or feasible approximations thereof, on the tracking error at all times. The proposed results generalize parametric MRAC systems, that is, MRAC systems that require a regressor vector or an equivalent representation of the matched uncertainties, and existing nonparametric MRAC systems that, presently, rely on the strong assumption of a priori knowledge of some bounded region in which the closed-loop trajectory lies.

Source: Nonlinear Dynamics

DOI: 10.1007/s11071-025-11407-6

Authors: Giorgio Antonio Orlando, Haoran Wang, Andrea L’Afflitto, Andrew J. Kurdila

Institutions: Politecnico di Torino, Virginia Tech

Language: English

Topic: Adaptive Control of Nonlinear Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,790

Funders: National Science Foundation, Ministero dell'Università e della Ricerca, Directorate for Engineering