Issues in Robust Controller Design and the Theory of Dynamic Games

鲁棒控制器设计和动态博弈理论中的问题

• 批准号: 9312807
• 负责人: Tamer Basar
• 金额: $ 17.48万
• 依托单位: University of Illinois at Urbana-Champaign
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1994
• 资助国家: 美国
• 起止时间: 1994-09-15 至 1999-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9312807&HistoricalAwards=false
• 关键词: Issues; Robust; Controller; Design; Theory

9312807 Basar This proposal aims at developing a comprehensive time-domain based theory for the analysis and synthesis of performance-robust minimax controllers for linear and nonlinear systems subject to deterministic and/or partially stochastic disturbances. Performance-robustness is a property that is imposed on top of minimaxity, which requires the selected controller to be least sensitive to modeling inaccuracies due to neglected fast dynamics and/or weak coupling of subsystems. Emphasis in this research program will be placed on nonlinear models, nonquadratic performance indices, decentralized measurement schemes, and multiple objectives. The general approach to be adopted is that of dynamic or differential game theory, which provides the most natural setting for these worst-case design problems. Research efforts along the lines described in the proposal should lead to major advances in the methodology and design of performance-robust worst-case controllers for various types of systems, as well as to some new fundamental results in the theory of dynamic games. They should also contribute toward making the theory and the emerging design tools more accessible to undergraduate and first-year graduate students in an engineering curriculum. ***

小行星9312807 该建议的目的是发展一个全面的时域为基础的理论分析和综合的性能鲁棒极小极大控制器的线性和非线性系统的确定性和/或部分随机干扰。 性能鲁棒性是施加在最小最大值之上的属性，其要求所选择的控制器对由于被忽略的快速动态和/或子系统的弱耦合而导致的建模不准确性最不敏感。 在这个研究计划的重点将放在非线性模型，非二次性能指标，分散的测量方案，和多个目标。 一般采用的方法是动态或微分博弈论，它为这些最坏情况的设计问题提供了最自然的设置。 研究工作沿着线中所描述的建议应导致重大进展的方法和设计的性能鲁棒最坏情况下的控制器的各种类型的系统，以及一些新的基本结果在理论的动态游戏。 他们还应该有助于使理论和新兴的设计工具更容易获得本科生和一年级的研究生在工程课程。 ***