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Practical Control Method for Time Delay Systems

时滞系统的实用控制方法

基本信息

批准号：
16560386
负责人：
KUBO Tomohiro
金额：
$ 1.02万
依托单位：
The University of Tokushima
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
2004
资助国家：
日本
起止时间：
2004 至 2007
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16560386/
关键词：
time delay systems memoryless feedback linear qudratic regulator

项目摘要

The purpose of this research is to study design methods of linear quadratic (LQ) regulators for systems with time-delay of retarded and neutral type, to investigate their properties as control systems, to consider the robust stability, and to propose new practical control system design methods. Generally, to construct an LQ regulator for systems with time-delay, the infinite dimensional Riccati equation has to be solved, and to implement it, the feedback law with real-time integral operation is needed, This point is a difficulty to apply this regulator. Recently it was shown that a class of LQ regulators could be constructed by a memoryless feedback law with a solution of a set of linear matrix inequalities. This method was called the optimal memoryless regulator. In this research, this method was extended to apply the wider class of systems with time-delay. The uncertainty of the plant parameters was taken into account, and new design methods of control systems were proposed as follows :(1) LQ regulator design method for systems with mutually independent multiple time varying delays.(2) LQ regulator design method for systems with time varying delays with pre-assigned exponential stability.(3) LQ regulator design method for systems with multiple time delays of neutral type.(4) LQ regulator design method for systems with uncertain parameters and mutually independent time varying delays.

本研究的目的是研究时滞中立型系统的线性二次型（LQ）调节器的设计方法，研究其作为控制系统的性质，考虑其鲁棒稳定性，并提出新的实用控制系统设计方法。对于时滞系统，通常要构造LQ调节器，需要求解无穷维Riccati方程，而实现LQ调节器需要具有实时积分运算的反馈律，这是LQ调节器应用的难点。最近，研究表明，一类LQ调节器可以由一个无记忆反馈律和一组线性矩阵不等式的解构成。这种方法被称为最优无记忆调节器。在这项研究中，这种方法被扩展到适用于更广泛的一类时滞系统。考虑了被控对象参数的不确定性，提出了如下新的控制系统设计方法：（1）具有相互独立的多时变时滞系统的LQ调节器设计方法。(2)时变时滞系统具有预先指定指数稳定性的LQ调节器设计方法。(3)中立型多时滞系统的LQ调节器设计方法。(4)具有参数不确定和相互独立时变时滞系统的LQ调节器设计方法。