The Modeling and Identification of Dynamically Uncertain Systems: Theory and Experiment

动态不确定系统的建模和识别：理论与实验

• 批准号: 9634498
• 负责人: Roy Smith
• 金额: $ 17.92万
• 依托单位: University of California-Santa Barbara
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1996
• 资助国家: 美国
• 起止时间: 1996-09-01 至 1999-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9634498&HistoricalAwards=false
• 关键词: Modeling; Identification; Dynamically; Uncertain; Systems

9634498 Smith The focus of this work is the development of methodologies for the modeling and identification of dynamically uncertain systems in a closed-loop control configuration. The work has a strong experimental component, in addition to the theoretical work required to develop the framework. The experiments serve as testbeds for the theoretical and algorithmic work, and addition, contribute to the development of feedback control technology within each of their application areas. A chemical vapor deposition system for semiconductor (GaAs/InP) growth is used as a closed-loop control and modeling testbed. The issues raised by this experiment include: uncertain flow dynamics; process nonlinearities; highly uncertain reaction dynamics; and model based sensing using optical measurements. A magnetic bearing experiment is also studied. A rotor shaft is levitated at each end by magnetic bearings. This is a particularly difficult identification and control problem and the relevant issues include: closed-loop identification of a multiple-input, multiple-output, unstable system; uncertain resonant modes in the rotor shaft; and rotor rotation dependent coupling between control loops. The third experiment is a radiant thermal processing system, consisting of an array of lamps for the heating of a plate. The issues involved here are: modeling of an infinite dimensional system; variable interaction between lamps; and significant uncertainty in the plate characteristics (emissivity, thermal coefficients). The theoretical side of the project is based on a robust control modeling framework. Uncertainty in the system dynamics is modeled by bounded perturbations to a nominal model. Prior work in the area of model validation has developed computationally tractable techniques for assessing the minimum size of the perturbations required to adequately describe an experimental observation. We propose extending the approach to develop methodologies for the experimental identification of model parameters for perturbed models. ***

9634498 Smith 这项工作的重点是开发闭环控制配置中动态不确定系统的建模和识别方法。 除了开发框架所需的理论工作之外，这项工作还具有很强的实验成分。 这些实验作为理论和算法工作的测试平台，此外，还有助于反馈控制技术在每个应用领域的发展。 用于半导体 (GaAs/InP) 生长的化学气相沉积系统用作闭环控制和建模测试台。 该实验提出的问题包括：不确定的流动动力学；过程非线性；高度不确定的反应动力学；以及使用光学测量的基于模型的传感。 还研究了磁力轴承实验。 转子轴的两端由磁力轴承悬浮。 这是一个特别困难的辨识与控制问题，相关问题包括：多输入、多输出、不稳定系统的闭环辨识；转子轴中不确定的谐振模式；和转子旋转相关的控制回路之间的耦合。 第三个实验是辐射热处理系统，由用于加热板的灯阵列组成。 这里涉及的问题是：无限维系统的建模；灯之间的可变相互作用； 以及板特性（发射率、热系数）的显着不确定性。 该项目的理论方面基于稳健的控制建模框架。 系统动力学的不确定性通过名义模型的有界扰动来建模。 模型验证领域的先前工作已经开发了计算上易于处理的技术，用于评估充分描述实验观察所需的最小扰动大小。 我们建议扩展该方法来开发用于扰动模型的模型参数的实验识别的方法。 ***