Model Reference Adaptive Control of Piezoelectric Actuators with Stochastic Disturbances under Gain Adjustment

Peng Hao; Chen Xuesong

doi:10.12052/gdutxb.240171

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Model Reference Adaptive Control of Piezoelectric Actuators with Stochastic Disturbances under Gain Adjustment

更新时间：2026-05-27

- Model Reference Adaptive Control of Piezoelectric Actuators with Stochastic Disturbances under Gain Adjustment
- Vol. 42, Issue 4, Pages: 88-95(2025)
- 作者机构：
  
  广东工业大学数学与统计学院,广东,广州,510520
- 作者简介：
- 基金信息：
- DOI：10.12052/gdutxb.240171
  CLC： TP273
- Published：2025
- 稿件说明：
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彭昊, 陈学松. 增益调节下具随机干扰压电致动器的模型参考自适应控制[J]. 广东工业大学学报, 2025, 42(4): 88–95.

Peng Hao, Chen Xuesong. Model Reference Adaptive Control of Piezoelectric Actuators with Stochastic Disturbances under Gain Adjustment[J]. 2025, 42(4): 88-95.
彭昊, 陈学松. 增益调节下具随机干扰压电致动器的模型参考自适应控制[J]. 广东工业大学学报, 2025, 42(4): 88–95. DOI： 10.12052/gdutxb.240171

Peng Hao, Chen Xuesong. Model Reference Adaptive Control of Piezoelectric Actuators with Stochastic Disturbances under Gain Adjustment[J]. 2025, 42(4): 88-95. DOI： 10.12052/gdutxb.240171.

摘要

压电致动器具有位移分辨率高的特点，在精密定位系统中作为致动器得到广泛应用。然而，压电致动器受到迟滞非线性、蠕变以及随机干扰等因素的影响，输出的稳定性和定位精度难以实现。本文提出了一种基于可调增益的模型参考自适应控制方法，用于控制具有外部扰动和随机干扰压电致动器的输出。该方法通过引入Lyapunov函数和自适应更新律，建立了计算自适应调节增益的随机非线性闭环控制系统。本文所提出的自适应控制方案，在压电致动器输出的依概率有界性和输出与参考模型输出之间跟踪误差的均方收敛性方面具有创新性。此外，本文提出的方法仅需了解不确定扰动及随机噪声强度的有界性。仿真结果验证了自适应增益调节器设计的有效性和优越性。

Abstract

Piezoelectric actuators have the characteristic of high displacement resolution and are widely used as actuators in precision positioning systems. However

due to the effects of hysteresis nonlinearity

creep

and stochastic disturbance on piezoelectric actuators

the stability and positioning accuracy of the output are difficult to achieve. In this research

a new model reference adaptive control method is proposed for controlling the output displacement of piezoelectric actuators with external and stochastic disturbances. This method establishes a stochastic nonlinear closed-loop control system with computational adaptive gain adjustment by introducing Lyapunov function and adaptive update law. The proposed adaptive structure is innovative in terms of the probability boundedness of the output of the piezoelectric actuator and the mean square convergence of the tracking error between the output and the reference model output. In addition

the proposed method only requires an understanding of the boundedness of uncertain disturbances and stochastic noise intensity. The simulation results demonstrate the effectiveness and superiority of the designed adaptive gain regulator.

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references

TAN J B, JIANG Z D, LUO J B, et al . Accuracy measurement theory and method for high-end precision equipment[J ] . Bulletin of National Natural Science Foundation of China, 2022, 36(6): 955-962.

XIAO Y, ZHANG W, WANG P, et al . Numerical simulation and experimental research of micro-droplet generation by directly actuated piezoelectric nozzle[J ] . Journal of Mechanical Engineering, 2020, 56(17): 233-239.

DENG J, LIU S, LIU Y, et al . A 2-DOF needle insertion device using inertial piezoelectric actuator[J ] . IEEE Transactions on Industrial Electronics, 2022, 69(4): 3918-3927.

GAN J, ZHANG X. A review of nonlinear hysteresis modeling and control of piezoelectric actuators[J]. AIP Advances, 2019, 9(4): 040702.

SHI J C, XIAO X L, LI H, et al . Research progress on control strategies for nonlinear characteristics of piezoelectric actuators[J ] . Journal of Guangdong University of Technology, 2024, 42(4): 14-25.

WANG B W, CUI Y G, XIE Q F, et al . Feedforward control of piezoelectric micro-positioning stage based on rate-dependent hysteresis model[J ] . Piezoelectric Acoustooptics, 2022, 44(6): 898-900.

ZHANG M, LIU Y W, WU Y, et al . Feed-forward control method of piezoelectric drive system based on Maxwell model[J ] . Journal of Shanxi University of Science Technology, 2024, 42(5): 174-183.

GAN J, ZHANG X, WU H. Tracking control of piezoelectric actuators using a polynomial-based hysteresis model[J]. AIP Advances, 2016, 6(6): 065204.

ZHANG X, WANG Y, WANG C, et al . Adaptive estimated inverse output-feedback quantized control for piezoelectric positioning stage[J ] . IEEE Transactions on Cybernetics, 2019, 49(6): 2106-2118.

张毅. 压电作动器的非线性建模及控制方法研究[D]. 哈尔滨: 哈尔滨理工大学, 2022.

WANG Z, HOU B, HU C, et al . Trajectory compensation based adaptive control for high-precision piezoelectric actuators[J ] . Sensors and Actuators A-Physical, 2024, 375: 115541.

LIU Y, CHANG K, LI W. Model reference adaptive control for a piezo-positioning system[J]. Precision Engineering, 2010, 34: 62-69.

SUN J, CHEN W, CHEN X. Model reference adaptive control with adjustable gain for piezoelectric actuator[J]. European Journal of control, 2022, 67: 100712.

ZHANG J, ZHAO C, GUO L. On PID control theory for nonaffine uncertain stochastic systems[J]. Journal of Systems Science and Complexity, 2023, 36: 165-186.

LI Y, ZHANG J, TONG S. Fuzzy adaptive optimized leader-following formation control for second-order stochastic multiagent systems[J]. IEEE Transactions on Industrial Informatics, 2022, 18(9): 6026-6037.

JI H, XI H. Adaptive output-feedback tracking of stochastic nonlinear systems[J]. IEEE Transactions on Automatic Control, 2006, 51(2): 355-360.

VAFAMAND N. Adaptive robust neural-network-based backstepping control of tethered satellites with additive stochastic Noise[J]. IEEE Transactions on Aerospace and Electronic Systems, 2020, 56(5): 3922-3930.

LIU Z, WANG F, CHEN C. Fuzzy adaptive quantized control for a class of stochastic nonlinear uncertain systems[J]. IEEE Transactions on Cybernetics, 2016, 46(2): 524-534.

BEHESHTIPOUR Z, KHALOOZADEH H, AMJADIFARD R. Model-reference adaptive moment control of uncertain nonlinear stochastic systems[J]. Asian Journal of Control, 2020, 22(1): 266-277.

胡适耕, 黄乘明, 吴付科. 随机微分方程[M]. 北京: 科学出版社, 2008.

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