Fractional Controller Tuning Expressions for a Universal Plant Structure

Sathishkumar, P.; Selvaganesan, N.

doi:10.1109/lcsys.2018.2837871

Cited by 24 publications

(15 citation statements)

References 19 publications

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“…However, two extra parameters (i.e., the integrator and differentiator orders) result in a more complicated tuning procedure. Thence, tuning of the fractional-order PI controller parameters is still of interest, see [51][52][53][54]. In Reference [51], the tuning of an FO-PI controller has been carried out using a genetic algorithm.…”

Section: Tuning Of Fo-pi Controllersmentioning

confidence: 99%

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Optimal Tuning of Fractional Order Controllers for Dual Active Bridge-Based DC Microgrid Including Voltage Stability Assessment

Azab

Serrano‐Fontova

2021

Electronics

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In this article, three evolutionary search algorithms: particle swarm optimization (PSO), simulated annealing (SA) and genetic algorithms (GA), have been employed to determine the optimal parameter values of the fractional-order (FO)-PI controllers implemented in the dual active bridge-based (DAB) DC microgrid. The optimum strategy to obtain the parameters of these FO-PI controllers is still a major challenge for many power systems applications. The FO-PI controllers implemented in the DAB are used to control the DC link voltage to the desired value and limit the current flowing through the converter. Accordingly, the investigated control system has six parameters to be tuned simultaneously; Kp1, Ki1, λ1 for FO-PI voltage controller and Kp2, Ki2, λ2 for FO-PI current controller. Crucially, this tuning optimization process has been developed to enhance the voltage stability of a DC microgrid. By observing the frequency-domain analysis of the closed-loop and the results of the subsequent time-domain simulations, it has been demonstrated that the evolutionary algorithms have provided optimal controller gains, which ensures the voltage stability of the DC microgrid. The main contribution of the article can be considered in the successful application of evolutionary search algorithms to tune the parameters of FO-based dual loop controllers of a DC microgrid scheme whose power conditioner is a DAB topology.

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Section: Tuning Of Fo-pi Controllersmentioning

confidence: 99%

“…On the other hand, [52] proposed and derived unified fractional complex order controller expressions as a universal structure. Reference [53] presented an atom search optimization algorithm and its chaotic version to determine the optimal parameters of the FO controller.…”

Section: Tuning Of Fo-pi Controllersmentioning

confidence: 99%

Optimal Tuning of Fractional Order Controllers for Dual Active Bridge-Based DC Microgrid Including Voltage Stability Assessment

Azab

Serrano‐Fontova

2021

Electronics

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“…Assured stability margins: M S and M T should be in the range of 1 . 2 to 2 . 0 and 1 to 1 . 5 respectively for a good measure of robustness (Sathishkumar and Selvaganesan, 2018). Hence, the followings maximum limits are selected as constraints…”

Section: Problem Statementmentioning

confidence: 99%

Input dependent Nyquist plot for limit cycle prediction and its suppression using fractional order controllers

Perumal

Selvaganesan

2019

Transactions of the Institute of Measurement and Control

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In practical systems having separable hard nonlinearities, sustained oscillation is detected at the steady state response due to the presence of stable limit cycles. An optimization problem is proposed to tune the fractional order controller parameters for system with multiple-nonlinearity to suppress the limit cycle magnitude in addition to meet the desired closed loop specifications. To extend the applicability of the existing Nyquist plot for predicting this limit cycle, an input dependent Nyquist plot is proposed in this paper. A servo system with backlash and relay nonlinearities is considered as a case study for limit cycle prediction with obtained fractional order controllers using an input dependent Nyquist plot. The predicted limit cycle information is compared with optimization results, input dependent root locus and are validated through closed loop simulations. Further, the robustness of the designed controllers are tested under system parameter uncertainty, disturbance and measurement noise conditions.

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“…The aim of the controller is to meet the following frequency domain specifications: GM [35], the Wang et al [36]'s frequency domain specifications (PM, phase flatness PF) [18,36]. i) Phase cross over frequency ω pc and Gain margin (GM) : (Equation 3a-3e)…”

Section: Control Structure and Design Specificationsmentioning

confidence: 99%

“…The special forms of controllers such as [8,9,[13][14][15], [16,17] controllers are used most of the time due to their design simplicities, though there are some derived alternatives ( ) [18], ( ) [18], + [19], and fractional lead-lag compensator (FLLC, [20]).…”

Section: Introductionmentioning

confidence: 99%

Universal Design Equations for Fractional Order PID Control of Plants with Time Delay

Köksal

2019

Çukurova Üniversitesi Mühendislik-Mimarlık Fakültesi Dergisi

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Some all-purpose design equations are derived for designing fractional order controllers for integer order plants with time delay. The results combine many design techniques appearing in the literature. In addition to plotting the global stability boundaries, they can be used to achieve desired gain and phase margins with a flat phase response near the gain cross over frequency. So, robustness can also be guaranteed. Further, satisfactory output disturbance and high frequency noise rejections can be realizable. An example is treated to make connections with the already existing results in the literature, which proves the usability of the obtained design equations.

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Fractional Controller Tuning Expressions for a Universal Plant Structure

Cited by 24 publications

References 19 publications

Optimal Tuning of Fractional Order Controllers for Dual Active Bridge-Based DC Microgrid Including Voltage Stability Assessment

Optimal Tuning of Fractional Order Controllers for Dual Active Bridge-Based DC Microgrid Including Voltage Stability Assessment

Input dependent Nyquist plot for limit cycle prediction and its suppression using fractional order controllers

Universal Design Equations for Fractional Order PID Control of Plants with Time Delay

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