基于共轭梯度算法的新型黑盒控制方法研究

Weiwei Ma, Yong Zhou, Jiakuan Gao
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摘要

近年来,随着人工神经网络和控制科学的发展,黑盒控制因其良好的自适应、鲁棒性和抗扰性而成为研究人员的热门课题之一。由于BP神经网络存在着收敛速度慢、网络结构和权重因素的不确定性等缺点。本文提出了一种新的改进的F-R算法,以提高反向传播神经网络的收敛速度,并试图消除不确定性对整个控制系统的不良影响。采用遗传算法对神经网络的拓扑结构和权重因子进行离线优化。介绍了伺服控制系统、网络优化算法、梯度下降算法和改进的Fletcher- Reeves算法。在MATLAB中对黑盒算法进行了编程,并在Simulink中对控制系统进行了仿真。在模拟实验中,加入负载扰动,测试系统的抗扰动能力。结果表明,与其他两种方法相比,改进的Fletcher-Reeves算法在响应时间、超调量和抗干扰能力方面具有更好的性能。最后,在仿真成功的基础上进行了实验。该控制程序在LabVIEW中完成,并应用于机电致动器伺服控制系统。结果表明,该系统具有较好的稳定性和快速性,能较好地满足工程应用要求。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
The Research of New Black Box Control Method Based on Conjugate Gradient Algorithm
With the development of artificial neutral network and control science, black box control has become one of the most popular topics for the researchers because of its good performance of the self-adaptivity, robustness and antidisturbance in recent years. Since there are lots of drawbacks for the BP neutral networks such as low converging speed and uncertainly of network structure and weight factors. This paper develops a new modified F-R algorithm to improve converging speed of back propagation neutral network and tries to eliminate the bad effect to the whole control system caused by uncertainty. The topology structure and weight factor of the neutral network are optimized by using GA (Genetic Algorithm) offline. This paper introduces servo control system, network optimization algorithm, gradient descent algorithm, and modified Fletcher- Reeves algorithm. The black box algorithm is programed in MATLAB and simulated in the Simulink for control system. During the simulating experiment, the load disturbance is added to test the capability to withstand the disturbance. The results show that the modified Fletcher-Reeves algorithm has the better performance in the response time, overshooting and antidisturbance ability compared with other two methods. In the end, the experiment is carried out based on the successful simulation. The control program is finished in LabVIEW and applied to the servo-control systems of EMA (Electron-mechanic Actuator). The results indicate the response of the system has the better stability and rapidity, which can meet the requirements of engineering application greatly.
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