@article{Tian2026, 
author = {Tingting Tian and Xiaorong Hou and Fang Yan},
title = {A novel reduced-order model reference adaptive control approach for output tracking of SISO systems with unknown high-frequency gain},
year = {2026},
journal = {Mathematical Modelling and Control},
volume = {6},
number = {2},
pages = {129-139},
keywords = {reduced-order MRAC, computational burden, scalar update law, asymptotic output tracking},
url = {https://www.sciopen.com/article/10.3934/mmc.2026010},
doi = {10.3934/mmc.2026010},
abstract = {In this paper, the output tracking control problem for single-input single-output (SISO) systems with unknown high-frequency gain is investigated. For the situation where the system matrix has unknown parameters and the high-frequency gain cannot be measured, based on the output feedback control strategy, a novel reduced-order model reference adaptive control (MRAC) approach that relies solely on the sign of the gain is proposed. This approach only requires updating a scalar function, which substantially alleviates the computational burden of the designed controller. Furthermore, the control strategy ensures closed-loop stabilization of the system and enables asymptotic tracking of the system's output state. The effectiveness of the proposed method is finally validated through two simulation examples.}
}