一类一阶控制系数未知非线性系统有限时间镇定

山东大学学报(工学版) ›› 2009, Vol. 39 ›› Issue (3): 37-46.

一类一阶控制系数未知非线性系统有限时间镇定

刘允刚

山东大学控制科学与工程学院, 山东济南 250061

收稿日期:2009-05-04 出版日期:2009-06-16 发布日期:2009-06-16

Finite-time stabilization for a class of first-order nonlinear systems with unknown control direction

School of Control Science and Engineering, Shandong University, Jinan 250061, China

Received:2009-05-04 Online:2009-06-16 Published:2009-06-16
About author:LIU Yungang(1970-), male, professor, born in Shandong Boxing, his research interest covers nonlinear systems and adaptive control, nonlinear observer design and stochastic control systems theory. E-mail: lygfr@sdu.edu.cn
Supported by:
This work was supported in part by the National Natural Science Foundation of China under grant 60674036

摘要/Abstract

摘要：

为了解决电力系统区间震荡问题, 已经发展形成了多种控制策略.在许多国家一些大规模的电力系统中,为解决各种不同的电力系统的运行和规划问题,采用了越来越多的柔性交流输电系统装置(FACTS).设计目标之一是减少系统中存在的一些临界区间震荡.基于变结构控制技术,提出了FACTS控制器,用以缓解区间震荡问题,研究了串联和并联的FACTS装置,并给出实例加以研究用以说明所提出控制器的有效性.

关键词: 柔性交流输电系统；区间震荡；电力系统稳定性和控制

Abstract:

In this paper, the finite time stabilization via state-feedback and adaptive technique was investigated for a class of first-order nonlinear systems with unknown control direction. Using the Nussbaum gain method, an adaptive state-feedback controller is successfully constructed, which guarantees the global stability of the closed-loop system, and the global finite time stability of the original system state (This was rigorously proven with the help of the celebrated L'Hospital’s Rule). A simulation example was provided to illustrate the effectiveness of the proposed approach.

Key words: nonlinear systems; unknown control direction; adaptive control; Nussbaum gain; finite time stability; global stability

刘允刚. 一类一阶控制系数未知非线性系统有限时间镇定[J]. 山东大学学报(工学版), 2009, 39(3): 37-46.

Liu Yun-Gang. Finite-time stabilization for a class of first-order nonlinear systems with unknown control direction[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2009, 39(3): 37-46.

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