自抗扰控制算法多光斑激光固态相变温度解耦控制

陈智君; 张良建; 张群莉; 马晓飞; 姚建华

doi:10.11884/HPLPB202537.250045

自抗扰控制算法多光斑激光固态相变温度解耦控制

doi: 10.11884/HPLPB202537.250045

陈智君^{1, 2, 3, 4,},
张良建^{1, 2, 3},
张群莉^{1, 2, 3, 4},
马晓飞⁵,
姚建华^{1, 2, 3, ,}

1.
浙江工业大学激光先进制造研究院，杭州 310023
2.
浙江工业大学机械工程学院，杭州 310023
3.
激光绿色制造技术浙江省国际科技合作基地，杭州 310023
4.
衢州市浙工大生态工业创新研究院，浙江龙游 324400
5.
杭州汽轮动力集团股份有限公司，杭州 310015

基金项目: 国家重点研发计划项目(2023YFB4603400)；浙江省“尖兵”研发攻关计划项目(2023C01064)；浙江省“尖兵领雁+X”研发攻关计划(2024SJCZX0040)；浙江省高层次人才特殊支持计划(2023R5210)

详细信息

作者简介:
陈智君，roll@zjut.edu.cn

通讯作者:
姚建华，laser@zjut.edu.cn。

中图分类号: TP273
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- 被引次数: 0
出版历程
- 收稿日期: 2025-03-12
- 修回日期: 2026-06-18
- 录用日期: 2025-06-13
- 网络出版日期: 2025-06-30

Research on decoupled temperature control of multi-spot laser solid-state phase transformation based on ADRC algorithm

Chen Zhijun^{1, 2, 3, 4
,},
Zhang Liangjian^{1, 2, 3},
Zhnag Qunli^{1, 2, 3, 4},
Ma Xiaofei⁵,
Yao Jianhua^{1, 2, 3
, ,}

1.
Institute of Laser Advanced Manufacturing, Zhejiang University of Technology, Hangzhou 310023, China
2.
College of Mechanical Engineering, Zhejiang University of Technology, Hangzhou 310023, China
3.
International Science & Technology Cooperation Base on Laser Green Manufacturing, Zhejiang Province, Hangzhou 310023, China
4.
Quzhou Eco-Industrial Innovation Institute ZJUT, Longyou 324400, China
5.
Hangzhou Steam Turbine Co., Ltd., Hangzhou 310014, China

摘要

摘要: 针对复杂曲面工件中传统单光斑激光固态相变温控方法的局限性，提出了一种基于自抗扰控制算法（ADRC）的多输入多输出（MIMO）激光固态相变温度解耦控制策略。通过建立多光斑激光固态相变有限元模型，并采用降阶方法提取系统的关键动态特性，以降低计算复杂度，为控制算法设计提供基础。然后对传统fal函数在误差较小区域的高频震颤的问题进行改进，提高系统的观测精度和抗干扰能力，同时采用改进的PSO算法整定ADRC参数，提高参数整定效率。最后，在MATLAB/Simulink与COMSOL平台上进行联合仿真。结果表明，改进后的PSO-ADRC控制器在提高系统响应速度、减少超调量和提升稳态精度方面均优于传统PID与标准ADRC方法，为复杂曲面工件的激光固态相变温控提供了高效、精准的解决方案。
- 激光固态相变 /
- 温度控制 /
- 模型降阶 /
- 自抗扰控制 /
- 阵列光斑
Abstract: In view of the limitations associated with traditional single-spot laser solid-state phase transformation temperature control methods in complex curved workpieces, this paper proposes a Multi-input Multi-output (MIMO) temperature decoupling control strategy based on Active Disturbance Rejection Control (ADRC). Firstly, a finite element model of multi-spot laser-induced solid-state phase transformation was developed, and a model-order reduction method was applied to extract the key dynamic characteristics of the system, significantly reducing computational complexity and laying a foundation for effective control. Subsequently, to address the high-frequency jitter problem encountered by the conventional fal function within small-error regions, an improved bfal function based on Bernstein polynomials was proposed, thereby enhancing system observation accuracy and disturbance rejection capability. Moreover, an improved Particle Swarm Optimization (PSO) algorithm was utilized for the parameter tuning of ADRC controllers, effectively accelerating the optimization process. Finally, co-simulations conducted on the MATLAB/Simulink and COMSOL platforms demonstrated that the proposed PSO-ADRC controller achieves superior performance in terms of response speed, overshoot reduction, and steady-state accuracy compared to the conventional PID and standard ADRC methods. The method thus provides an efficient and precise solution for multi-spot laser solid-state phase transformation temperature control in complex curved workpieces.
- laser solid-state phase transformation /
- temperature control /
- model reduction /
- active disturbance rejection control /
- arrayed laser spots

HTML全文

图 1 光斑分布示意图

Figure 1. Schematic diagram of light spot distribution

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图 2 COMSOL中的移动热源加载和移动探针提取结果

Figure 2. Moving heat source loading and moving probe temperature extraction in COMSOL

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图 3 FOM和ROM中单个通道在6、12、16、32阶下对比

Figure 3. Comparison of single channel in FOM and ROM at 6,12,16,32 order

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图 4 FOM和ROM在6、12、16、32阶下的误差

Figure 4. Errors of FOM and ROM at 6,12,16,32 order

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图 5 ADRC结构图

Figure 5. Structural diagram of ADRC

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图 6 fal与bfal函数曲线对比图

Figure 6. Comparison chart between fal function curve and bfal function curve

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图 7 ADRC阶跃响应曲线比较

Figure 7. ADRC step response curve comparison and local enlargement

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图 8 PID、ADRC、PSO-ADRC控制系统仿真结果

Figure 8. PID，ADRC，PSO-ADRC control system simulation results

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图 9 Simulink和COMSOL联合环境下的温度控制结果

Figure 9. The temperature control results in the co-simulation environment of Simulink and COMSOL

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