Multi-Time-Scale Structure Assignment in Linear and Nonlinear Systems by High-Gain Feedback -- Singular Perturbation Approach

通过高增益反馈进行线性和非线性系统的多时间尺度结构分配——奇异摄动方法

• 批准号: 8618953
• 负责人: Ali Saberi
• 金额: $ 7万
• 依托单位: Washington State University
• 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: 1987-06-01 至 1990-10-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8618953&HistoricalAwards=false
• 关键词: Multi; Time; Scale; Structure; Assignment

This research will examine the role of time-scale structure in high-gain feedback systems and its relation to robustness of a design with respect to uncertainties and disturbances. Based on this, a novel concept of time-scale structure assignment for general dynamic systems is to be explored. Furthermore, unification and consequent generalization of various exisiting analysis and design of high-gain feedback methods is sought by casting them into the framework of singularly perturbed systems. Partitioning of a given design into subparts is facilitated through consistent exploitation of time-scale separation concepts embodied in singular perturbation theory. The specific problems which are to be examined are: (1) Eigenstructure assignment via quadratic regulator theory , (2) Direct methods of eigenstructure and multiple time-scale assignment in linear systems, (3) Almost disturbance decoupling with internal stability, (4) Guaranteed stability of uncertain systems, (5) Kalman filter with weak measurement noise, (6) Multiple time-scale assignment and shaping of slow and fast dynamics in nonlinear systems and (7) Nonlinear "cheap" control problems.

本研究将探讨时间尺度结构在 高增益反馈系统及其与设计鲁棒性关系 对于不确定性和干扰。 基于此，一部小说 一般动态系统时标结构配置的概念 有待探索 此外，统一和随之而来的 综合各种噪声分析与高增益设计 反馈方法是通过把它们铸造成框架， 奇异摄动系统 将给定的设计划分为 子部分通过持续利用时间尺度来促进 分离概念体现在奇异摄动理论中。 的 具体研究的问题有：（1）特征结构 通过二次调节器理论分配，（2）直接方法， 线性系统的特征结构和多时标配置，（3） 具有内部稳定性的几乎干扰解耦，（4）保证 不确定系统稳定性;（5）弱观测卡尔曼滤波 噪声，（6）多时间尺度分配和慢和快的成形 非线性系统动力学和（7）非线性“廉价”控制 问题