Robust Control Theory

鲁棒控制理论

• 批准号: 9001371
• 负责人: Pramod Khargonekar
• 金额: $ 19万
• 依托单位: Regents of the University of Michigan - Ann Arbor
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1990
• 资助国家: 美国
• 起止时间: 1990-09-01 至 1996-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9001371&HistoricalAwards=false
• 关键词: Robust; Control; Theory

This project describes a basic research program focused on the design and analysis of robust and H- infinity optimal feedback systems. This research program has four major components: multivariable robust stability and stabilization problems, H-infinity optimal control of finite and infinite-dimensional systems, analysis and design of nonlinear time- varying controllers for robust control of linear time- invariant systems, controller design for multiple performance functionals. To account for possible uncertainties in system models, both parametric and unstructured uncertainty in plant models will be considered. Optimal design in the H-infinity norm is considered to provide robustness against uncertainty in the spectra of the exogenous signals or unstructured dynamic modeling uncertainty. It is also a key step in design for robust performance in the presence of unstructured uncertainty. The emphasis is on the development of computationally efficient algorithms for controller design. For this purpose, all high-level algorithms will be developed in terms state-space realizations, real or complex matrix algebraic equations, etc. It is expected that most of the algorithms will be implementable on a variety of computers ranging from engineering workstations to mainframe computers.

该项目描述了一个基础研究计划，重点是鲁棒和 H-无穷最优反馈系统的设计和分析。 该研究项目有四个主要组成部分：多变量鲁棒稳定性和稳定性问题、有限和无限维系统的H无穷最优控制、用于线性时不变系统鲁棒控制的非线性时变控制器的分析和设计、多种性能函数的控制器设计。 为了解释系统模型中可能的不确定性，将考虑工厂模型中的参数和非结构化不确定性。 H 无穷范数中的优化设计被认为可以提供针对外源信号频谱的不确定性或非结构化动态建模不确定性的鲁棒性。 这也是在存在非结构化不确定性的情况下实现稳健性能设计的关键步骤。 重点是开发用于控制器设计的计算高效算法。 为此，所有高级算法都将根据状态空间实现、实数或复数矩阵代数方程等来开发。预计大多数算法将可以在从工程工作站到大型计算机的各种计算机上实现。