信息与控制2011,Vol.40Issue(4):547-552,6.DOI:10.3724/SP.J.1219.2011.00547
一类分数阶系统的分析及控制器设计
Analysis and Controller Design of a Class of Fractional-Order System
摘要
Abstract
For a class of fractional order system which has similar structure to the traditional first order inertia link transfer function, the scope of the parameters which can ensure the stability of such fractional order system is given and the relationship between time response and the fractional order is analyzed. Then both the fractional order controller Pr and integer order controller PI are designed based on such kind of fractional order system. The parameters of the controllers are obtained by particle swarm optimization algorithm. Results show that both the controllers can achieve satisfactory performance, so the methods proposed in this paper are effective. Considering that the integer order controller PI is more simple and easy to realize compared with the fractional order controller Pr\ therefore the controller PI is preferential when controlling such kind of fractional order object in engineering practice.关键词
一阶系统/分数阶系统/稳定性/分数阶控制器Key words
first order system/ fractional order system/ stability/ fractional order controller分类
信息技术与安全科学引用本文复制引用
王晓燕,王东风,韩璞..一类分数阶系统的分析及控制器设计[J].信息与控制,2011,40(4):547-552,6.基金项目
中央高校基本科研业务费专项基金资助项目(11MG49). (11MG49)