Robust Stabilization of Fractional Order Interval Systems via a Fractional-order PID Controller
This paper presents a solution to the problem of stabilizing a fractional order interval system (FOIS)by fractional order PID control.On the basis of the Extended Kharitonov Theorem,the problem of testing robust stability of a fractional order interval polynomial is transformed into one of checking stability of a family of vertex sub-polynomials whose value set is represented by a convex parpolygon with the same number of vertices.The stability region of each vertex sub-polynomial is then obtained by using the D-partition method.Consequently,the robust stabilization region of an FOIS via a fractional order PID controller is determined as the intersection of the stability regions of these vertex sub-polynomials.Numerical examples are used to illustrate the effectiveness of the proposed method.
LIN Jianyu LU Jun-Guo LIN Zongli
Department of Automation,Shanghai Jiao Tong University,and Key Laboratory of System Control and Info Charles L.Brown Department of Electrical and Computer Engineering,University of Virginia,P.O.Box 400
国际会议
The 30th Chinese Control Conference(第三十届中国控制会议)
烟台
英文
1-6
2011-07-01（万方平台首次上网日期，不代表论文的发表时间）