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.

该提案涉及两个综合问题：1）设计一个规定阶的控制器来稳定给定系统；2）设计一个规定阶的控制器来稳定包含在指定范围内不确定的参数的给定系统。 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）。 所提出的问题构成了控制理论中两个尚未解决的突出问题。 现有的综合方法（“观察到的”状态反馈、LQG、H 和几何综合方法）都不能以实用或令人满意的方式解决它们。 它们在大多数工业应用中总是立即出现，而完全缺乏解决该问题的综合理论是控制工程师在尝试将控制理论的结果应用于实践时遇到的主要障碍。 我们希望能够基于扩展哈里托诺夫定理并使其适用于控制系统的最新成果以及参数空间中稳定球精确计算的新技术来解决上述难题。