自抗扰控制算法多光斑激光固态相变温度解耦控制

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

  • 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。

     

    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). first, 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 used to tune the parameter 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.

     

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