Research Initiation Award: Robust Identification in H-infinity

研究启动奖：H-无穷大中的鲁棒辨识

• 批准号: 9110636
• 负责人: Guoxiang Gu
• 金额: $ 6万
• 依托单位: Louisiana State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1991
• 资助国家: 美国
• 起止时间: 1991-08-15 至 1994-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9110636&HistoricalAwards=false
• 关键词: Research; Initiation; Award; Robust; Identification

H-infinity theory has been widely accepted for robust control system design to cope with the inaccurate description of the mathematical models. However, there exist very few identification techniques which are compatible with current robust control design methodologies. The problem of system identification in H-infinity is thus formulated to obtain an identified system model with explicit upper bound on identification error in H-infinity norm based on experimental information (noisy data). This proposal aims to develop control oriented identification techniques in H-infinity framework for linear time-invariant systems. The proposed research will focus on following issues: 1. Establish practical noise models which fit the H-infinity framework; 2. Investigate the role of linear algorithms in system identification; 3. Develop robustly convergent identification algorithms for different noise models with priori upper bounds for identification error in H-infinity norm; 4. Optimize the performance of robustly convergent identification algorithms; 5. Study system identification in H-infinity based on experimental noisy time response data. The ultimate goal of this proposal is to update identification techniques so that they are compatible with modern robust control methodologies.

H-无穷大理论已被广泛接受用于鲁棒控制系统设计，以应对数学模型的不准确描述。 然而，与当前鲁棒控制设计方法兼容的识别技术很少。 因此，H-无穷大中的系统辨识问题被公式化，以获得基于实验信息（噪声数据）的H-无穷大范数中的辨识误差具有明确上限的辨识系统模型。 该提案旨在在线性时不变系统的 H-infinity 框架中开发面向控制的识别技术。 本研究将重点关注以下问题： 1. 建立适合H-infinity框架的实用噪声模型； 2. 研究线性算法在系统辨识中的作用； 3. 开发针对不同噪声模型的鲁棒收敛识别算法，在H-无穷范数下具有先验上限识别误差； 4、优化鲁棒收敛识别算法的性能； 5. 基于实验噪声时间响应数据研究 H-无穷大系统辨识。 该提案的最终目标是更新识别技术，使其与现代鲁棒控制方法兼容。