A novel reduced-order model reference adaptive control approach for output tracking of SISO systems with unknown high-frequency gain

Tingting Tian; Xiaorong Hou; Fang Yan; Tingting Tian; Xiaorong Hou; Fang Yan

doi:10.3934/math.2026010

Mathematical Modelling and Control

2026, Volume 6, Issue 2: 129-139. doi: 10.3934/math.2026010

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A novel reduced-order model reference adaptive control approach for output tracking of SISO systems with unknown high-frequency gain

1.
School of Mathematics and Information Science, Zhengzhou University of Light Industry, Zhengzhou 450002, China
2.
School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China
3.
School of Software Engineering, Jinling Institute of Technology, Nanjing 211169, China

Received: 21 May 2024 Revised: 08 March 2025 Accepted: 20 June 2025 Published: 19 May 2026

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.
- reduced-order MRAC,
- computational burden,
- scalar update law,
- asymptotic output tracking
Citation: Tingting Tian, Xiaorong Hou, Fang Yan. A novel reduced-order model reference adaptive control approach for output tracking of SISO systems with unknown high-frequency gain[J]. Mathematical Modelling and Control, 2026, 6(2): 129-139. doi: 10.3934/math.2026010

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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.

References

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