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Adaptive Fuzzy Fixed-Time Trajectory Tracking Control for a Piezoelectric-Driven Microinjector.

Rungeng Zhang¹, Zehao Wu¹, Weijian Zhang¹

¹Department of Electromechanical Engineering, Faculty of Science and Technology, University of Macau, Avenida da Universidade, Taipa, Macau, China.

|December 31, 2025

Summary

This study introduces an adaptive fuzzy fixed-time control (AF-FxT-C) for piezoelectric microinjectors. The novel approach ensures precise control regardless of initial states, enhancing microinjection accuracy and reliability.

Keywords:

adaptive fuzzy logic backstepping fixed-time control hysteresis nonlinearity piezoelectric actuator

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Area of Science:

Control Systems Engineering
Robotics and Automation
Materials Science

Background:

Piezoelectric actuators in microinjectors exhibit complex hysteresis, posing challenges for precise motion control.
Inconsistent initial states due to frequent start-stop operations further complicate control system design.

Purpose of the Study:

To develop an adaptive fuzzy fixed-time control (AF-FxT-C) scheme for piezoelectric-driven microinjectors.
To address and compensate for actuator hysteresis and other lumped disturbances.
To ensure settling time is independent of initial conditions for robust performance.

Main Methods:

Utilizing a fuzzy logic system to approximate unknown nonlinearities, specifically piezoelectric hysteresis.
Implementing an adaptive law to enhance the accuracy of the fuzzy approximation.
Employing a second-order backstepping approach to design a fixed-time control law.

Main Results:

The proposed AF-FxT-C scheme effectively compensates for piezoelectric hysteresis and disturbances.
Theoretical stability analysis rigorously substantiates the fixed-time convergence.
Simulation and experimental results confirm the method's effectiveness and robustness.

Conclusions:

The AF-FxT-C scheme provides a robust and accurate control solution for piezoelectric microinjectors.
The method demonstrates excellent tracking performance across various signal frequencies and amplitudes.
This control strategy holds significant potential for industrial microinjection applications.