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Updated: Jul 15, 2026

A Protocol for Real-time 3D Single Particle Tracking
Published on: January 3, 2018
Precise trajectory tracking of a piezoactuator-driven stage using an adaptive backstepping control scheme.
Hsin-Jang Shieh1, Chia-Hsiang Hsu
1Department of Electrical Engineering, National Dong Hwa University, Shoufong, Hualien, Taiwan. hjshieh@mail.ndhu.edu.tw
This study introduces an adaptive backstepping control for precise trajectory tracking in piezoactuator-driven stages. The new method enhances tracking performance and reduces errors, proving effective in experiments.
Area of Science:
- Control Systems Engineering
- Mechatronics
- Precision Motion Control
Background:
- Piezoactuator-driven stages exhibit complex hysteresis behavior, affecting precise motion control.
- Accurate modeling of hysteresis is crucial for achieving high-performance trajectory tracking.
Purpose of the Study:
- To propose an adaptive backstepping control scheme for precise trajectory tracking of piezoactuator-driven stages.
- To improve tracking performance, reduce steady-state errors, and enhance robustness to disturbances.
Main Methods:
- Modeling the piezoactuator stage dynamics, including hysteresis, using differential equations.
- Parameter identification using the Powell numerical optimization method.
- Developing a linear state-space model with Taylor series approximation of hysteresis.
- Implementing an adaptive backstepping control strategy.
Main Results:
- The proposed adaptive backstepping control significantly improved trajectory tracking performance.
- Reduced steady-state errors were observed compared to conventional methods.
- Enhanced robustness to external disturbances was demonstrated through experimental validation.
Conclusions:
- The developed adaptive backstepping control is effective for precise trajectory tracking in piezoactuator-driven stages.
- Experimental results confirm the feasibility and practical applicability of the proposed control scheme.
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