Synthesis of Robust Controllers for Parameter Variations

参数变化鲁棒控制器的综合

• 批准号: 8914357
• 负责人: S. Bhattacharyya
• 金额: $ 6万
• 依托单位: Texas A&M Research Foundation
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1990
• 资助国家: 美国
• 起止时间: 1990-04-01 至 1992-03-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8914357&HistoricalAwards=false
• 关键词: Synthesis; Robust; Controllers; Parameter; Variations

This proposal deals with two synthesis problems 1) design a controller of a prescribed order to stabilize a given system and 2) design a controller of a prescribed order to stabilize a given system containing parameters subject to uncertainty in specified ranges. We propose to establish conditions for the existence of a controller and to obtain a useful parametrization (from the control system designer's point of view) of all controllers that solve the above problems. The problems proposed constitute two of the outstanding unsolved problems in control theory. None of the existing synthesis methods ("observed" state feedback, LQG, H , and geometric methods of synthesis) can solve them in a practical or satisfactory manner. They arise invariably and immediately in most industrial applications, and the complete lack of a synthesis theory to address this problem is a major stumbling block that control engineers encounter in attempting to apply the results of control theory to practice. Our hope that the difficult problems posed above can be solved is based on recent results which extend Kharitonov's theorem and make it applicable to control systems, and new techniques for the exact calculation of the stability ball in parameter space.

该提案处理两个综合问题1）设计一个规定订单的控制器，以稳定给定系统，2）设计一个规定订单的控制器，以稳定包含在指定范围内不确定性的参数的给定系统。 我们建议建立控制器存在的条件，并获得解决上述问题的所有控制器的有用参数化（从控制系统设计者的角度来看）。 提出的问题构成了控制理论中的两个未解决的问题。 现有的合成方法（“观察到的”状态反馈，LQG，H和合成的几何方法）无法以实用或令人满意的方式解决它们。 它们总是在大多数工业应用中不断出现，并且完全缺乏解决此问题的综合理论是控制工程师在试图将控制理论的结果应用于实践的主要绊脚石。 我们希望可以解决上面提出的困难问题是基于最近扩展了Kharitonov定理并将其适用于控制系统的结果，以及用于确切计算参数空间中稳定性球的新技术。