The Research Of Fractional Order PI~λD~μ Controller Design

In this paper, fractional orderPI PI~λD~μ controller is researched deeply. The threemethods for design of the parameters of fractional order PI~λD~μ controller areanalysised. The three methods are Optimization method、Gain and phase margin methodand Ideal transfer function method. We use fractional order PI~λD~μ controller to controlservo system. Genetic optimization algorithm is presented for the servo system withuncertain time parameter. Gain and phase margin method and ideal Bode transferfunction method are presented for the servo system with uncertain gain parameter. Thetwo controller both make servo system have robustness for gain. Stability regionmethod and Kharitonov theory are used in the servo system with uncertain parametersto analysis the stability region of the parameters of order fractional PI~λD~μ controller.