分数阶控制系统的稳定性理论研究  

Theoretical Study on the Stability of Fractional Order Control Systems

作　　者：杨朋飞 刘冬梅 高宁 白珍龙 Yang Pengfei;Liu Dongmei;Gao Ning;Bai Zhenlong(CN00G Petrochemical Engineering Co.,Ltd.,Jinan,250101,China;Hangzhou Hollysys Automation Co.,Ltd.,Jinan,250001,China;Shandong Yingda Tendering Co.,Ltd.,Jinan,250001,China)

机构地区：[1]中海油石化工程有限公司,济南250101 [2]杭州和利时自动化有限公司,济南250001 [3]山东英大招投标有限公司,济南250001

出　　处：《仪器仪表用户》2018年第5期1-4,共4页Instrumentation

摘　　要：利用Lyapunov稳定性理论第二法,把条件:Lyapunov函数的一阶导数负定推广K(<0<K≤1)为阶导数负定,也可以保证系统的稳定性,得到了类Lyapunov判据,进而把此判据推广到分数阶系统中,将对整数阶控制系统的稳定性引申到分数阶。对用分数阶传递函数表示的分数阶控制系统,进行稳定性的证明。Based on Lyapunov stability theory the second method.The condition:the first-order derivative of Lyapunov function is negative which is promoted for K(<0<K^1)derivative.It can be used to guarantee the stability of the system.Get a similar Lyapunov criterion,and then this criterion is extended to fractional order system.The stability of the integer order control system is extended to fractional order.The fractional order control system which is described by fractional order transfer function proved to be stable.

关 键 词：分数阶控制系统 LYAPUNOV 稳定性理论 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]