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Updated: Jun 3, 2026

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Multi-objective optimization design of linear oscillating actuator based on hybrid surrogate model.
Minghu Yu1, Jiekun Lin2, Yuqiu Zhang3
1School of Low-Altitude Equipment and Intelligent Control, Guangzhou Maritime University, Guangzhou, 510725, China.
This study introduces a hybrid surrogate model (HSM) and improved NSGA-II to optimize linear oscillating actuators (LOAs), significantly reducing thrust fluctuations and enhancing performance for better controllability.
Area of Science:
- Engineering
- Mechanical Engineering
- Control Systems
Background:
- Thrust fluctuations from electromagnetic and cogging forces limit linear oscillating actuator (LOA) efficiency and performance.
- Optimizing LOAs presents a complex multi-objective challenge due to these limitations.
Purpose of the Study:
- To develop an innovative optimization strategy for enhancing LOA performance and controllability.
- To address the challenge of reducing force fluctuations in LOAs.
Main Methods:
- Utilized a hybrid surrogate model (HSM) integrating four data-driven models with a heuristic weighting scheme.
- Employed an improved nondominated sorting genetic algorithm II (NSGA-II) with a modified crowding degree model.
- Integrated empirical validation (static/dynamic tests) and finite element analysis for performance assessment.
Main Results:
- Achieved significant enhancements in average LOA performance.
- Demonstrated a notable reduction in force fluctuations, improving system controllability.
- The hybrid surrogate model (HSM) accurately predicted motor performance and facilitated rapid candidate solution generation.
Conclusions:
- The proposed optimization strategy, combining HSM and improved NSGA-II, offers a robust, data-driven framework for high-performance LOA design.
- The method effectively addresses complex multi-objective optimization problems in engineering.
- Empirical validation confirmed the efficacy of the proposed optimization approach for LOAs.
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