Research Initiation: Controller Complexity in Linear Systems

研究启动：线性系统中的控制器复杂性

• 批准号: 8505293
• 负责人: Athanasios Antoulas
• 金额: $ 6万
• 依托单位: William Marsh Rice University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1985
• 资助国家: 美国
• 起止时间: 1985-06-01 至 1987-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8505293&HistoricalAwards=false
• 关键词: Research; Initiation; Controller; Complexity; Linear

The problem of feedback control in the framework of linear systems has been extensively investigated over the years. Although the theories developed settled a number of important issues, they generally failed to address the problem of the complexity (i.e., MacMillan degree) of the resulting controllers. The aim of this research is to investigate problems related to low complexity controllers, using the partial realization approach. In particular, the work will encompass aspects of the partial realization problem as applied to the H-infinity optimization problem and the problem of pole placement by dynamic output feedback. The motivation for the work is that in the first problem, no provision for controller complexity exists in the current theories and in the second problem, the existing results are only partial. The significance of the proposed research lies in the fact that the complexity of the controller is an important design parameter in feedback control. Consequently, the design methods should give the engineer the freedom of choosing it so as to meet design specifications.

多年来，线性系统框架中的反馈控制问题已得到广泛研究。 尽管所开发的理论解决了许多重要问题，但它们通常未能解决所得控制器的复杂性（即麦克米伦度）问题。 本研究的目的是使用部分实现方法研究与低复杂度控制器相关的问题。 特别是，这项工作将涵盖应用于 H 无穷大优化问题和动态输出反馈的极点配置问题的部分实现问题的各个方面。 这项工作的动机是，在第一个问题中，当前的理论中不存在控制器复杂性的规定，而在第二个问题中，现有的结果只是部分的。 本研究的意义在于控制器的复杂度是反馈控制中的重要设计参数。 因此，设计方法应该给予工程师选择的自由，以满足设计规范。