Tuning fractional order proportional integral controllers for fractional order systems

Luo, Ying; Wang, Chunyang; Chen, YangQuan

doi:10.1109/ccdc.2009.5195101

Cited by 10 publications

(2 citation statements)

References 25 publications

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“…In [6][7] the controller parameters have been analytically derived by solving nonlinear equations fulfilling the gain/phase crossover frequency and phase/gain margin specifications. The robustness to loop gain variations specification proposed in [8] has also been widely used to design FID and proportionalintegral (PI) controllers. The merits of the analytical method are obvious; however, it is available only when the equations are few in number and simple.…”

Section: Introductionmentioning

confidence: 99%

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

Tin

Tran

et al. 2019

IJEECS

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<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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Section: Introductionmentioning

confidence: 99%

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

Tin

Tran

et al. 2019

IJEECS

View full text Add to dashboard Cite

show abstract

“…In [6][7] the controller parameters have been analytically derived by solving nonlinear equations fulfilling the gain/phase crossover frequency and phase/gain margin specifications. The robustness to loop gain variations specification proposed in [8] has also been widely used to design PID and proportionalintegral (PI) controllers. The merits of the analytical method are apparent; however, it is available only when the equations are few in number and simple.…”

Section: Introductionmentioning

confidence: 99%

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

Tin

Dũng

Tran

et al. 2019

IJPEDS

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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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2012

Fractional Order Motion Controls

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Tuning fractional order proportional integral controllers for fractional order systems

Cited by 10 publications

References 25 publications

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

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

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

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