Synthesis of Robust Controllers Under Perturbations of MixedType

混合型扰动下鲁棒控制器的综合

• 批准号: 9106312
• 负责人: S. Bhattacharyya
• 金额: $ 18万
• 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: 1991
• 资助国家: 美国
• 起止时间: 1991-12-15 至 1997-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9106312&HistoricalAwards=false
• 关键词: Synthesis; Robust; Controllers; Under; Perturbations

Since about 1985, extremely efficient and nonconservative methods have been developed for the analysis of robust stability of control systems subject to parameter variations. However, there are no synthesis procedures available at all. On the other hand, H-infinity control theory has a well-developed synthesis procedure. This theory, however, is highly conservative when applied to the parametric stability problem. In this proposal we intend to develop synthesis procedures for control problems containing parameter uncertainty. A promising opening is given by recent results (obtained by the PI's) proving that the extremal stability margins (including H-infinity margins) occur on certain manifolds derived from Kharitonov's theorem. This link suggests that H-infinity (and other classical synthesis methods) might be intelligently tailored to give nonconservative synthesis procedures for parameter variation problems. This will form the main area of our research. We expect the results of this research project to have an impact on the analysis and design of control systems arising in many applications.

大约自 1985 年以来，已经开发出极其有效且非保守的方法来分析受参数变化影响的控制系统的鲁棒稳定性。 然而，根本没有可用的合成程序。 另一方面，H-无穷大控制理论有一个完善的综合程序。 然而，当应用于参数稳定性问题时，该理论是高度保守的。 在本提案中，我们打算开发包含参数不确定性的控制问题的综合程序。 最近的结果（由 PI 获得）给出了一个有希望的开端，证明极值稳定裕度（包括 H 无穷大裕度）出现在从哈里托诺夫定理导出的某些流形上。 此链接表明 H-无穷大（和其他经典综合方法）可以智能地定制，为参数变化问题提供非保守综合程序。 这将构成我们研究的主要领域。 我们预计该研究项目的结果将对许多应用中出现的控制系统的分析和设计产生影响。