EIA: Robust Control of Systems with Parameter Uncertainty: An Operator Theoretic Approach

EIA：参数不确定性系统的鲁棒控制：算子理论方法

• 批准号: 8704047
• 负责人: Allen Tannenbaum
• 金额: $ 6万
• 依托单位: University of Minnesota-Twin Cities
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1987
• 资助国家: 美国
• 起止时间: 1987-07-15 至 1990-09-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8704047&HistoricalAwards=false
• 关键词: EIA; Robust; Control; Systems; Parameter

The general problem of robust system control consists of constructing fixed feedback controllers for possibly unstable families of systems with parameter or modelling uncertainty in order to stabilize the given family and in order to meet certain performance specifications. This proposal is concerned with an operator theoretic and functional analytic approach to this problem for multivariable, distributed, and even possibly nonlinear plants. Specifically, techniques will be proposed to solve the H-Infinity-optimal weighted sensitivity problem for multivariate distributed systems, and methods will be developed for obtaining new qualitative and quantitive results for very general multivariable gain margin problems. Moreover, a nonlinear version of classical interpolation theory will be considered and it should have important consequences in adaptive and robust nonlinear control. It is expected that the proposed operator theoretic approach should help resolve some fundamental problems in robust design and illuminate a number of central theoretical issues in this area. In addition, specific algorithms will be developed to implement the methods on the computer. The general problem of robust system control consists of constructing fixed feedback controllers for possibly unstable families of systems with parameter or modelling uncertainty in order to stabilize the given family and in order to meet certain performance specifications. This proposal is concerned with an operator theoretic and functional analytic approach to this problem for multivariable, distributed, and even possibly nonlinear plants.

鲁棒系统控制的一般问题包括： 构造可能不稳定族的固定反馈控制器 具有参数或模型不确定性的系统，以稳定 为了满足特定性能， 规范.这个建议是关于一个算子理论 和泛函分析方法， 分布式，甚至可能是非线性的植物。 具体地说， 技术将被提出来解决H-无穷-最优加权 多变量分布式系统的灵敏度问题和方法 为获得新的定性和定量结果， 对于非常一般的多变量增益裕度问题。 而且 将考虑经典插值理论的非线性版本 它应该在适应性和鲁棒性方面产生重要的影响， 非线性控制 预计所提出的算子理论 这种方法有助于解决稳健设计中的一些基本问题 并阐明了这一领域的一些中心理论问题。 在 此外，还将开发具体的算法来实现这些方法 在计算机上.鲁棒系统控制的一般问题包括： 构造固定反馈控制器， 具有参数或建模不确定性的系统族， 稳定给定的族，以满足一定的性能 规范.这个建议是关于一个算子理论 和泛函分析方法， 分布式，甚至可能是非线性的植物。