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Design Theory for Fault Tolerant Control Systems

容错控制系统的设计理论

基本信息

批准号：
01550344
负责人：
SHIMEMURA Etsujiro
金额：
$ 1.02万
依托单位：
Waseda University
依托单位国家：
日本
项目类别：
Grant-in-Aid for General Scientific Research (C)
财政年份：
1989
资助国家：
日本
起止时间：
1989 至 1990
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-01550344/
关键词：
Fault Tolerant Control Parameter Variation Time-delay System Liapunov Equation Robust Control H* Control

项目摘要

Design problems of a controller, which enable the control system to remain stable in case of failure in its components, are discussed from three directions ;(1) Design theory of a robust controller for the system with time-delay. A robust control problem for the case when failure of components results in perturbation of system parameter is discussed. The theory is developed for the linear system with time-delay. A widely applicable general theory es developed by describing the system with an operator differential equation and by utilizing a property of a operator Liapunov and Riccati equations.(2) Gain margin of a system designed by an H control theory. H* control theory is attracting a wide attention for designing a robust control system. Two most crucial topics on the system designed by an H*theory are discussed ; (a) Gain margin under which stability of a closed loop is preserved, and (b) Upper limit of gain which assures the optimality. It is derived that the system has an infinitely large gain margin, and the optimality is assured for that range of gain.(3) Design theory to supperss the effect of disturbance. Some class of component failure can be modeled as disturbance to the nominal system. A disturbance attenuation problem is discussed with respect to the following issues ; (a) H_2 /H* mixed problem to include the optimality, (b) Relation to the differential game, (c) Asymptotic disturbance attenuation problem, and (d) A finite horizon problem.

本文从三个方面讨论了使控制系统在元件失效时仍能保持稳定的控制器设计问题：（1）时滞系统的鲁棒控制器设计理论。讨论了元件故障引起系统参数摄动时的鲁棒控制问题。该理论是针对线性时滞系统的。用算子微分方程描述系统，利用算子Liapunov和Riccati方程的性质，发展了一个广泛适用的一般理论。(2)用H控制理论设计的系统的增益裕度。H* 控制理论在设计鲁棒控制系统方面受到了广泛的关注。讨论了用H* 理论设计系统的两个最关键的问题：（a）保持闭环稳定性的增益裕度，和（B）保证最优性的增益上限。推导出系统具有无限大的增益裕度，并且在该增益范围内保证了最优性。(3)干扰影响抑制设计理论。某些类型的元件故障可以建模为对标称系统的干扰。本文讨论了扰动衰减问题：（a）包含最优性的H_2 /H* 混合问题，（B）与微分对策的关系，（c）渐近扰动衰减问题，（d）有限时域问题。