A simple tuning method of fractional order PIλ-PDμ controllers for time delay systems

Özyetkin, M. Mine

doi:10.1016/j.isatra.2018.01.021

Cited by 38 publications

(30 citation statements)

References 28 publications

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“…In this section, a practical tuning method called the weighted geometrical center method is presented [15,40] for PI-PD controller tuning. The method is first applied to the internal feedback loop with the PD controller in Figure 1.…”

Section: A Simple Tuning Methods For Pi-pd Controller Designmentioning

confidence: 99%

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PI‐PD controller design for time delay systems via the weighted geometrical center method

Özyetkin

Onat

Tan

2019

Asian Journal of Control

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In this study, a PI‐PD controller tuning method is presented using the weighted geometrical center method, which is based on the calculation of the weighted geometric center of the stability region obtained by the stability boundary locus method. The proposed method for tuning of PI‐PD controller parameters (kd,kf,kp and ki) is performed in three steps. In the first step, the (kd,kf) parameter region for the inner loop with PD controller is obtained, and then the weighted geometric center of this region is calculated. In the second step, the inner PD loop is reduced to a single block using the numerical values of (kd,kf) that are obtained in the first step. Then, the (kp,ki) values of the external loop with PI controller are determined by the same procedure. This tuning method has some advantages over other tuning methods in terms of simplicity and robustness. The simulation examples show that a PI‐PD controller designed using the proposed method provides good performance results when compared to other tuning methods presented in the literature.

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Section: A Simple Tuning Methods For Pi-pd Controller Designmentioning

confidence: 99%

“…Here, the main problem is not only to obtain all stabilizing PI and PD controller parameters but also to select these parameters from the stability region. For this purpose, this study uses the WGC method [15,40] to obtain the PI-PD parameters to ensure closed-loop stability of the system.…”

Section: Stability Regions Of Pi-pd Controllermentioning

confidence: 99%

PI‐PD controller design for time delay systems via the weighted geometrical center method

Özyetkin

Onat

Tan

2019

Asian Journal of Control

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“…Recently, PI-PD control structure is proposed by many authors for an unstable system with more substantial delay time. Many tuning methods for the PI-PD control structure is reported for an unstable process [21][22][23][24][25]. The improved performance is obtained using the PI-PD structure than the PID controller design for both the stable and unstable systems with substantial delay.…”

Section: Introductionmentioning

confidence: 99%

Modified Cascade Controller Design for Unstable Processes With Large Dead Time

Chandran

Murugesan

Gurusamy³

et al. 2020

IEEE Access

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In this paper, a simple controller design with the fractional order calculations applies to unstable cascade processes with a significant time delay. Series cascade control system consists of two loops in which the inner loop is designed using the IMC principle based on the synthesis method. The primary controller is designed with the FOPI-FOPD controller to ensure stable and satisfactory closed-loop performances for the unstable processes. For the primary controller, five tuning parameters are involved, which tuned using the centroid of the convex stability region method. Different examples are given to illustrate the superiority of the proposed design over some existing designs. Results obtained from simulation reveals that with the proposed control design, enhanced closed-loop control performances are obtained for nominal and perturbed conditions.

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“…In the literature, the most preferred method to investigate FOS is to use integer-order approximations [27,28]. That is, in order to apply methods in classical control to such systems, integer-order equivalent transfer functions can be used.…”

Section: Introductionmentioning

confidence: 99%

An algebraic stability test for fractional order time delay systems

Özyetkin

Băleanu

2020

Int. J. Optim. Control, Theor. Appl. (IJOCTA)

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In this study, an algebraic stability test procedure is presented for fractional order time delay systems. This method is based on the principle of eliminating time delay. The stability test of fractional order systems cannot be examined directly using classical methods such as Routh-Hurwitz, because such systems do not have analytical solutions. When a system contains the square roots of s, it is seen that there is a double value function of s. In this study, a stability test procedure is applied to systems including sqrt(s) and/or different fractional degrees such as s^alpha where 0 < α < 1, and α include in R. For this purpose, the integer order equivalents of fractional order terms are first used and then the stability test is applied to the system by eliminating time delay. Thanks to the proposed method, it is not necessary to use approximations instead of time delay term such as Pade. Thus, the stability test procedure does not require the solution of higher order equations.

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A simple tuning method of fractional order PIλ-PDμ controllers for time delay systems

Cited by 38 publications

References 28 publications

PI‐PD controller design for time delay systems via the weighted geometrical center method

PI‐PD controller design for time delay systems via the weighted geometrical center method

Modified Cascade Controller Design for Unstable Processes With Large Dead Time

An algebraic stability test for fractional order time delay systems

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