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

该奖项的目标是开发一种截断预测方法，用于控制输入中有或没有幅度/能量限制的时滞系统的控制设计。与传统的基于预测的方法相比，该方法将产生不包含分布式项的控制器，从而完全避免与传统基于预测的方法相关的实现问题。它还将为约束时滞系统的控制提供一个强有力的工具，这在文献中很少被考虑。可交付成果包括一套强大的工具，用于分析和控制这些系统的各个方面，包括干扰抑制和输出调节问题。该项目的一个重要部分是将所得的理论结果应用于主动磁轴承悬浮的高速转子。在这个项目中开发的设计方法将帮助工程师更有效地处理实际系统。将这些方法应用于高速转子/AMB试验台的控制，将提高我们在石油和天然气行业中更有效地操作压缩机的能力。因此，这个项目的成功完成将有助于缓解当今社会面临的最紧迫的问题之一：能源危机。这项研究将需要研究生和本科生的参与，可能还有少数民族和女性学生，因此将利用国家科学基金会为基础研究活动提供的资金来协助教育。这项研究取得的结果将编写成会议和期刊论文，以供传播。

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.