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DEVELOPMENT AND PRACTICE OF SIMULTANEOUS OPTIMUM DESIGN OF STRUCTURE AND CONTROL SYSTEM

结构与控制系统同步优化设计的开发与实践

基本信息

批准号：
05402034
负责人：
NAGAMATSU Akio
金额：
$ 10.24万
依托单位：
Tokyo Institute of Technology
依托单位国家：
日本
项目类别：
Grant-in-Aid for General Scientific Research (A)
财政年份：
1993
资助国家：
日本
起止时间：
1993 至 1994
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-05402034/
关键词：
Vibration Control Optimum Design Genetic Argorithm Servosystem Modal Analysis ロバスト制御 H^∞ノルム

项目摘要

This study proposes new optimum design methods of structure and control system. Forst, a structural topology optimization method based on the genetic argorithm is presented. The fitness function composed of a natural frequency is maximized by optimizing the topology of the structure. The optimum topology of the structure is determined by optimizing the placement of the finite elements in FEM analysis. In the optimum design based on the genetic argorithm, the computer burden should be decreased for practical use. This study improves the genetic operations with respect to the crossover and the mutation in order to improve the efficiency of the calculation. Furthermore, the higher efficiency of the calculation is achieved by the model reduction in structural analysis. Effectiveness and practicability of the proposed approach are verified by optimizing the topology of the guide-arm installed in the magnetic disk device. Next, this study proposes a sumultaneous optimum design method of structure and control system by which to design an optimum servosystem composed of continuous body structures using modal analysis and sensitivity analysis. The mechanical structures is modeled first by FEM.This spatial model are of such high degree of freedom that a control system cannot be designed. This spatial model is transformed into a modal model in order to reduce DOF.The servosystem is composed with the reduced model and a dynamic compensator. However, stability of the control system is not always guaranteed because the modal model ignores high-order modes. An simultaneous optimization method of the structure and the control system which guarantees stability of the actual system is proposed in this study. The optimization is performed using sensitivity analysis and nonlinear programming. The effectiveness of the proposed method is verified by both simulation and experiment.

本研究提出了结构和控制系统的新的优化设计方法。 Forst提出了一种基于遗传算法的结构拓扑优化方法。通过优化结构的拓扑来最大化由固有频率组成的适应度函数。通过在有限元分析中优化有限元的放置来确定结构的最佳拓扑。基于遗传算法的优化设计，在实际应用中应减轻计算机负担。本研究改进了交叉和变异方面的遗传操作，以提高计算效率。此外，通过结构分析中的模型简化，实现了更高的计算效率。通过优化安装在磁盘设备中的导臂的拓扑结构，验证了所提出方法的有效性和实用性。接下来，本研究提出了一种结构和控制系统的同步优化设计方法，通过模态分析和灵敏度分析来设计由连续车身结构组成的优化伺服系统。机械结构首先通过有限元建模。该空间模型具有很高的自由度，以至于无法设计控制系统。为了减少自由度，将该空间模型转化为模态模型。伺服系统由减少的模型和动态补偿器组成。然而，由于模态模型忽略了高阶模态，控制系统的稳定性并不总是得到保证。本文提出了一种保证实际系统稳定性的结构和控制系统同步优化方法。使用灵敏度分析和非线性规划进行优化。通过仿真和实验验证了该方法的有效性。