Optimal tuning PID controller of unstable fractional order system by desired transient characteristics using RIM

<p>In this paper, we propose the method of tuning a conventional PID controller for unstable transient characteristics. The results show that: 1) This is the novel practical method based on the desired settling time and overshoot percentage; 2) The results are close to the desired parameters; 3) The novel method can tune an unstable fractional order system by real interpolation method (RIM); 4) The novel method is simplicity and computer efficiency; 5) The novel method can find an optimal solution for tuning task in both academic and industrial purposes.</p>

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Determination of all stability region of unstable fractional order system in case of bearing system

International Journal of Power Electronics and Drive Systems (IJPEDS) ◽

10.11591/ijpeds.v10.i4.pp1734-1741 ◽

2019 ◽

Vol 10 (4) ◽

pp. 1734

Author(s):

Van-Duc Phan ◽

Phu Tran Tin ◽

Nguyen Quang Dung ◽

Minh Tran ◽

Tran Thanh Trang

Keyword(s):

Fractional Order ◽

Pid Controller ◽

Decomposition Method ◽

Interpolation Method ◽

Fractional Order System ◽

Stable Region ◽

Order System ◽

Real Interpolation Method ◽

Bearing System

In this paper, we propose and investigate the optimal tuning PID controller of unstable fractional order system by desired transient characteristics using the real interpolation method (RIM). The research shows that the main advantages of this method are drawn as the followings: 1) Carrying out an investigation of the stable region of coefficients of a PID controller using D-decomposition method; 2) Applying the method to investigate an unstable fractional order system.

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Designing of Fractional Order PID Controller for Stable Fractional Order System

2019 Joint International Conference on Digital Arts, Media and Technology with ECTI Northern Section Conference on Electrical, Electronics, Computer and Telecommunications Engineering (ECTI DAMT-NCON) ◽

10.1109/ecti-ncon.2019.8692234 ◽

2019 ◽

Author(s):

Boonruk Chipipop ◽

Deacha Puangdownreong

Keyword(s):

Fractional Order ◽

Pid Controller ◽

Fractional Order System ◽

Order System ◽

Fractional Order Pid ◽

Fractional Order Pid Controller

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An Effective Approach of Approximation of Fractional Order System using Real Interpolation Method

Journal of Advanced Engineering and Computation ◽

10.25073/jaec.201711.48 ◽

2017 ◽

Vol 1 (1) ◽

pp. 39

Author(s):

Dung Quang Nguyen

Keyword(s):

Transfer Function ◽

Fractional Order ◽

Transfer Functions ◽

Interpolation Method ◽

Fractional Order System ◽

Real Interpolation ◽

Order System ◽

Frequency Method ◽

Time Frequency ◽

Real Interpolation Method

Fractional-order controllers are recognized to guarantee better closed-loop performance and robustness than conventional integer-order controllers. However, fractional-order transfer functions make time, frequency domain analysis and simulation significantly difficult. In practice, the popular way to overcome these difficulties is linearization of the fractional-order system. Here, a systematic approach is proposed for linearizing the transfer function of fractional-order systems. This approach is based on the real interpolation method (RIM) to approximate fractional-order transfer function (FOTF) by rational-order transfer function. The proposed method is implemented and compared to CFE high-frequency method; Carlson’s method; Matsuda’s method; Chare ’s method; Oustaloup’s method; least-squares, frequency interpolation method (FIM). The results of comparison show that, the method is simple, computationally efficient, flexible, and more accurate in time domain than the above considered methods. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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