Pattern Classification and Construction of Lyapunov Function for Nonlinear Control Systems Using the Robust Perturbation Method

使用鲁棒摄动法的非线性控制系统李亚普诺夫函数的模式分类和构造

基本信息

批准号：
05650415
负责人：
MIYAGI Hayao
金额：
$ 1.09万
依托单位：
University of the Ryukyus
依托单位国家：
日本
项目类别：
Grant-in-Aid for General Scientific Research (C)
财政年份：
1993
资助国家：
日本
起止时间：
1993 至 1994
项目状态：
已结题

项目摘要

1.Stability analysis of motor system which consists of reluctance stepping motor or synchronous motor has been carried out by the direct method of Lyapunov, considering the nonlinearities of the motor. The results show that the direct method of Lyapunov is successfully applicable to stability studies of nonlinear systems.2.Power system is a complex engineering system. The report gives two ways of improving transient stability of power systems. One is the cooperative fuzzy control techinique of AVR and GOV based on sliding mode. The other is the static var compensator technique utilizing fuzzy control theory.3.A method of constructing non-Lure type Lyapunov function for nonlinear control system has been presented. The function surpasses the Lure type Lyapunov function from the point of view of the stability region guaranteed.4.The report also presents a method of analysing robust stability of perturbed multimachine power systems, through Popov-Lyapunov approach. Robust stability criteria are presented to derive a robustness measure which gives some bounds on allowable perturbation for the system.5.The robustness of product-type nonlinear feedback systems subjected to parameter variations has been studied through both the positive realness of perturbed transfer functions and the direct method of Lyapunov. The tolerable range of individual parameter deviations and the condition for the product-type nonlinearities can be obtained by the proposed method.

1.考虑到电动机的非线性，由Lyapunov的直接方法进行了由不情愿的垫脚电机或同步电动机组成的电机系统的稳定分析。结果表明，Lyapunov的直接方法成功地适用于非线性系统的稳定性研究。2.PowerSystem是一个复杂的工程系统。该报告提供了两种改善电力系统瞬时稳定性的方法。一个是基于滑动模式的AVR和GOV的合作模糊控制Techinique。另一个是利用模糊控制理论的静态VAR补偿器技术。3。已提出了为非线性控制系统构建非诱饵类型Lyapunov函数的方法。该功能从保证的稳定区域的角度超过了Lyapunov函数。4。该报告还提出了一种通过Popov-Lyapunov方法分析扰动多支电型动力系统稳健稳定性的方法。提出了稳健的稳定性标准，以得出一种鲁棒性度量，该度量在系统的允许扰动方面具有一定的界限。5。产品型非线性反馈系统的鲁棒性通过扰动转移函数的正面和Lyapunov的直接方法研究了受参数变化的稳健性。可以通过建议的方法获得单个参数偏差的可耐受范围和产品类型非线性的条件。