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.

该方案涉及两个综合问题：1)设计预定阶控制器以稳定给定系统；2)设计预定阶控制器以镇定含有在规定范围内具有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(从控制系统设计者的角度)获得解决上述问题的所有控制器的有用的参数化。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”状态反馈法、LQG法、H法和几何综合法)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，而完全缺乏解决这个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绊脚石。我们希望上述困难问题能够得到解决，这是基于最近的结果，这些结果扩展了Kharitonov定理并使其适用于控制系统，以及参数空间中稳定球的精确计算的新技术。