EIA: Control System Synthesis: Nonlinear Feedback

EIA：控制系统综合：非线性反馈

• 批准号: 8709265
• 负责人: Kameshwar Poolla
• 金额: $ 6万
• 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: 1987
• 资助国家: 美国
• 起止时间: 1987-07-01 至 1989-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8709265&HistoricalAwards=false
• 关键词: EIA; Control; System; Synthesis; Nonlinear

This proposal is concerned with the issue of robustness in feedback control. It has two primary goals: To develop efficient numerical procedures for certain robust feedback system design problems, and to explore the merits of nonlinear feedback in robust control. Regarding the first goal, preliminary work indicates that certain control system design problems can be reduced to simpler optimization problems involving nonlinear programming with only a finite number of parameters. This would represent a dramatic improvement over currently available techniques. This possibility and also the important numerical details will be investigated. The second goal is aimed at understanding the types of control system design problems for which nonlinear feedback is substantially superior to linear feedback. In this context it has recently been demonstrated that for some design problems in which the plant model has unknown parameters, nonlinear control offers enormous advantage. However, for situations where the plant model has substantial unmodeled dynamics, nonlinear feedback is no better than linear feedback. These results indicate that for many control systems design problems, the precision to which the plant model is known determines the type of feedback best suited to control that plant. This principle will be investigated to determine its validity in specific control design problems.

这一建议涉及的是 反馈控制 它有两个主要目标： 某些鲁棒反馈系统设计问题的数值方法， 探讨了非线性反馈在鲁棒控制中的优点。 关于第一个目标，初步工作表明， 控制系统设计问题可以简化为简单的优化问题 非线性规划问题，只有有限个 参数 这将是一个戏剧性的改善，目前 可用的技术。 这种可能性和重要的数字 将调查详情。 第二个目标是为了了解 非线性反馈控制系统设计问题的类型 基本上上级于线性反馈。 在这方面， 最近已经证明，对于一些设计问题， 对象模型具有未知参数，非线性控制提供了巨大的 优势 然而，对于工厂模型具有 大量的未建模动态，非线性反馈并不比 线性反馈这些结果表明，对于许多控制系统， 设计问题，工厂模型已知的精度 确定最适合控制该设备的反馈类型。 这 原则将进行调查，以确定其有效性，在具体的 控制设计问题。