Modeling, Identification and Validation of Uncertain Linear and Nonlinear Feedback Systems

不确定线性和非线性反馈系统的建模、识别和验证

• 批准号: 9978562
• 负责人: Roy Smith
• 金额: $ 19.81万
• 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: 1999
• 资助国家: 美国
• 起止时间: 1999-09-15 至 2002-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9978562&HistoricalAwards=false
• 关键词: Modeling; Identification; Validation; Uncertain; Linear

The objective of the proposed work is to develop an integrated suite of tools and approached for the modeling of uncertain systems for feedback control design purposes. Our modeling framework is based upon robust control theory, which is supported by several sophisticated control design methods. These models are in effect set descriptions, where the sets are generated by unknown but bounded dynamic perturbations within the model. The models allow the designer to capture the variety of uncertain behaviors that a physical system will generate. Although this a powerful and flexible modeling framework, the tools available for modeling physical systems are limited.Our prior work on model validation for robust control models from the basis for the work proposed here. This approach has led to tools which allow the designer to experimentally quantify the difference between a physical system and the closest member of a robust control model set. The current work looks at extending these approaches to alternative experimentally scenarios. One direction will be the use of correlated swept-sine experiments; a procedure frequently used in industrial practice. A second direction will be the consideration of noise and perturbations from different signal classes; for example stochastic noise and gain bounded perturbations. Such models agree more closely with typical physical systems, and will make these methods applicable to a wider range of industrial processes. We also propose to develop a robust control modeling framework which will handle certain classes of nonlinear systems. The project will consider two industrially motivated examples from these classes: rotating stall in jet engine compressors; and thermo-acoustic interactions in combustors. The methods will be applied to simplified simulation versions of these problems. The combination of nonlinear behaviors and dynamic perturbations opens up an area of nonlinear robustness analysis which will also be addressed. Three experiments are available and will be used in support of this research: (1) A metalorganic chemical vapor deposition (MOCVD) reactor, used for epitaxial crystal growth of blue LEDs and blue laser diodes. (2) A magnetically levitated bearing system, developed as a prototype for an artificial heart pump (left ventricular assist device). (3) A rapid thermal processing system, which models the dynamics of typical processing steps in the semiconductor and film processing industries. Each of these experiments exhibits common practical difficulties which are not yet well handled by theoretical modeling and identification methods, making them ideal testbeds for the work proposed.

拟议的工作的目的是开发一套集成的工具套件，并用于建模不确定系统以进行反馈控制设计目的。 我们的建模框架基于强大的控制理论，该理论由几种复杂的控制设计方法支持。 这些模型实际上是集合描述，其中集合是由模型中未知但有界的动态扰动生成的。 这些模型允许设计人员捕获物理系统将产生的各种不确定行为。 尽管这是一个强大而灵活的建模框架，但可用于建模物理系统的工具受到限制。我们先前在此处提出的工作的基础上对稳健控制模型的模型验证的工作。 这种方法导致了工具，该工具使设计人员可以实验量化物理系统与强大控制模型集的最接近成员之间的差异。 当前的工作旨在将这些方法扩展到实验场景的替代方法。 一个方向将是使用相关的扫狮实验。工业实践中经常使用的程序。 第二个方向将考虑到不同信号类别的噪声和扰动。例如随机噪声和增益有限的扰动。 这样的模型与典型的物理系统更加一致，并将使这些方法适用于更广泛的工业流程。 我们还建议开发一个可靠的控制建模框架，该框架将处理某些类别的非线性系统。 该项目将考虑来自这些类别的两个工业动机的例子：喷气发动机压缩机中的旋转摊位；和燃烧器中的热声相互作用。这些方法将应用于这些问题的简化仿真版本。 非线性行为和动态扰动的结合开辟了一个非线性鲁棒性分析的领域，这也将得到解决。提供了三个实验，并将用于支持这项研究：（1）用于蓝色LED和蓝色激光二极管的外在晶体生长的金属有机化学蒸气沉积（MOCVD）反应器。 （2）磁性悬浮的轴承系统，作为人造心脏泵的原型开发（左心室辅助装置）。 （3）一个快速的热处理系统，该系统在半导体和电影加工行业中建模典型处理步骤的动态。这些实验中的每一个都表现出常见的实践困难，这些困难尚未通过理论建模和识别方法来很好地处理，这使其成为所提出的工作的理想测试床。