A Truncated Prediction Approach to Control of Time-Delay Systems with Applications to High Speed Rotor/AMB Systems

该奖项的目的是开发一种截断预测方法，用于在控制输入中具有或不具有幅值/能量约束的时滞系统的控制设计。与传统的基于预测的方法相比，该方法得到的控制器不包含分布项，从而完全避免了与传统的基于预测的方法相关的实现问题。它还将为文献中很少考虑的受限时滞系统的控制提供一个强有力的工具。交付内容包括一套强大的工具，用于分析和控制此类系统的各个方面，包括干扰抑制和输出调节问题。本项目的一个重要组成部分是将已有的理论成果应用于电磁轴承悬浮的高速转子，该项目开发的设计方法将帮助工程人员更有效地处理实际系统。将这些方法应用到高速转子/磁悬浮轴承试验台的控制中，将提高我们在石油和天然气行业更有效地在深海中操作压缩机的能力。因此，该项目的成功完成将有助于缓解当今社会面临的一个最紧迫的问题：能源危机。这项研究将需要研究生和本科生的参与，可能是少数族裔和女性学生的参与，因此将利用NSF可以为基础研究活动提供的资金来协助教育。这项研究取得的成果将编成会议论文和期刊论文进行传播。

The objective of this award is to develop a truncated prediction approach to control design for time-delay systems with or without magnitude/energy constraints in the control input. In comparison with the classical prediction based approaches, this proposed approach will result in controllers that do not contain distributed terms and will thus entirely avoid the implementation problems associated with the traditional prediction based approaches. It will also provide a powerful tool for the control of constrained time-delay systems which is seldom considered in the literature. Deliverables include a set of powerful tools for various aspects of the analysis and control such systems, including the problems of disturbance rejection and output regulation. An important part of the project is to apply the obtained theoretical results on high speed rotors suspended by active magnetic bearings (AMBs).The design methods developed in this project will help engineers to handle practical systems more effectively. The applications of these methods to the control of a high speed rotor/AMB test rig will enhance our ability to operate compressors in the oil and gas industries more effectively and in deeper seas. Therefore, the successful completion of this project will contribute in a way to alleviate one the most pressing issues our society faces today: the energy crisis. The research will require the involvement of graduate students and undergraduate students, possibly minority and female students, and thus will leverage the funding that NSF can provide for basic research activities to assist in education. The results obtained in this research will be prepared into conference and journal papers for dissemination.