Abstract
In this paper, a graphical tuning method for controllers parameters based on the open-loop fractional transfer function (FO-EOTF) method is proposed for fractional-order parameter uncertain multivariable system. The FO-EOTF method is proposed to transform the parameter uncertain fractional-order multivariable system into a set of independent parameter uncertain fractional-order univariate systems and determine the parameters regions of the univariate systems. The gain phase margin tester is used to further guarantee the robust performance of the controlled system. Finally, simulation result from the numerical simulation is presented to demonstrate the effectiveness of this method.
Highlights
The industrial processes are often modeled by multivariate models
Fractional-order transfer function is always used to describe the industrial processes to improve the accuracy of multivariate system modeling
A new method is proposed to determine the robustness stable region of the parameter uncertain fractional-order multivariable system based on the effective open-loop transfer function (EOTF) method and Kharitonov method
Summary
The industrial processes are often modeled by multivariate models. Fractional-order transfer function is always used to describe the industrial processes to improve the accuracy of multivariate system modeling. The Kharitonov theorem has been proposed and studied to replace the parameter uncertain univariate system via multiple boundary equations for integer order linear control systems [14,15,16,17]. The graphical tuning method should be based on the uncertain parameter model, otherwise, the set controller parameters will not meet the strong robustness requirements of the servo drive system, affecting the control accuracy In response to this problem, Zheng et al [21] proposed a graphical tuning method of fractional order proportional integral derivative (FOPID) controllers for fractional order uncertain system achieving robust D-stability. A new method is proposed to determine the robustness stable region of the parameter uncertain fractional-order multivariable system based on the EOTF method and Kharitonov method. The Kharitonov method is introduced to determine the robustness stable region of the parameter uncertain univariate system
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