Experimental Analysis of Fractional PID Controller Parameters on Time Domain Speciﬁcations

Shah, Pritesh; Agashe, Sudhir

doi:10.18576/pfda/030205

Cited by 13 publications

(8 citation statements)

References 24 publications

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“…As stated before, fractional calculus is a branch of mathematics wherein the orders of integration and derivation are real numbers [9,33,38]. This real number feature has a significant impact towards improvement of the controller performance [39]- [41]. The classical PID Controllers are particular cases of fractional controllers where λ and µ are equal to one (figure 2).…”

Section: Caputo Definitionmentioning

confidence: 99%

Complex Order PIa+jbDc+jd Controller Design for a Fractional Order DC Motor System

Shah¹,

Sekhar²,

Iswanto³

et al. 2021

Adv. sci. technol. eng. syst. j.

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Fractional order controller DC motor Complex order controller Bode diagram Root locus Industry 4.0 implementation stipulates effective actuator control. In the present work, a complex order PI a+ jb D c+ jd (COPID) controller was designed for a fractional order model of a direct current (DC) motor system. For comparisons, the DC motor system model was also controlled using the conventional proportional integral (PI), proportional integral derivative (PID), proportional resonant (PR) and fractional order PID controllers (FOPID). Time domain results indicated that the PR controller performed exceedingly well for output signal responses, but fared poorly in case of control signal specifications. The PI controller responses suffered from high time domain characteristics for both control and output signals. The PID controller performed moderately in terms of time domain and peak overshoot metrics. The FOPID controller attained the best time domain characteristics, but was unable to effectively limit the control and output signal peak overshoots. It was only the COPID controller, that successfully minimised / eliminated peak overshoots in control and output signals (0.1 % and 0.0 % respectively). Moreover, the COPID controller was also successful in limiting the rise, peak and settling times. In addition, Bode diagram, root locus plot were obtained and system gain parameters were varied to confirm the robustness of the proposed COPID controller. Thus, COPID controller promises to be an effective solution towards accurate and robust actuator control in modern manufacturing.

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Section: Caputo Definitionmentioning

confidence: 99%

Complex Order PIa+jbDc+jd Controller Design for a Fractional Order DC Motor System

Shah¹,

Sekhar²,

Iswanto³

et al. 2021

Adv. sci. technol. eng. syst. j.

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“…Very limited researches which develop guidelines for tuning a FOPID controller are available. Reference [33] highlights the relationships between the order of differentiation (μ) and integration (λ) and the time domain specifications. The existence of a particular relationship…”

Section: Fitness Functionmentioning

confidence: 99%

Cascade Control of Grid-Connected PV Systems Using TLBO-Based Fractional-Order PID

Badis

Mansouri

Boujmil

2019

International Journal of Photoenergy

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Cascade control is one of the most efficient systems for improving the performance of the conventional single-loop control, especially in the case of disturbances. Usually, controller parameters in the inner and the outer loops are identified in a strict sequence. This paper presents a novel cascade control strategy for grid-connected photovoltaic (PV) systems based on fractional-order PID (FOPID). Here, simultaneous tuning of the inner and the outer loop controllers is proposed. Teaching-learning-based optimization (TLBO) algorithm is employed to optimize the parameters of the FOPID controller. The superiority of the proposed TLBO-based FOPID controller has been demonstrated by comparing the results with recently published optimization techniques such as genetic algorithm (GA), particle swarm optimization (PSO), and ant colony optimization (ACO). Simulations are conducted using MATLAB/Simulink software under different operating conditions for the purpose of verifying the effectiveness of the proposed control strategy. Results show that the performance of the proposed approach provides better dynamic responses and it outperforms the other control techniques.

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“…log( / 0 ) log( ) The fractional PID controller is also implemented in real time applications using analog and digital approximation methods methods [22]. In most cases, the order of fractional PID controller is in the range of 0 to 2 [34,2,44]. More details on fractional PID controller can be found in [43,42,45].…”

Section: Fractional Pid Controllermentioning

confidence: 99%

“…For PID controller, there are general guidelines are available for fine tuning. Similarly, certain guidelines are also available for FPID controllers in [44]. By changing the orders of differentiation and integration, overshoot of the system can be minimized.The various simulation and experimental results are discussed in the next section.…”

Section: Fine Tuningmentioning

confidence: 99%

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Application of Fractional PID Controller to Single and Multi-Variable Non-Minimum Phase Systems

Shah¹,

Sekhar²,

Agashe³

2019

IJRTE

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A non-minimum phase system has the unique characteristic of undershoot or over and undershoot based on the number of zeros and the location of zeros in the systems. A fractional PID controller has the ability to capture more dynamics, as there are two more parameters to tune compared to a traditional PID controller. In this paper, a fractional PID controller is designed for single and multi-variable non-minimum phase systems. A simple optimization method for the tuning of a fractional PID controller has been applied. Six different single variable plants were simulated covering different cases of non-minimum phase systems. Simulation results showed that zero crossing is reduced to a greater extent by fractional PID controller as compared to traditional PID controller for single variable systems. This paper also provides experimental validations for design and

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Experimental Analysis of Fractional PID Controller Parameters on Time Domain Speciﬁcations

Cited by 13 publications

References 24 publications

Complex Order PIa+jbDc+jd Controller Design for a Fractional Order DC Motor System

Complex Order PIa+jbDc+jd Controller Design for a Fractional Order DC Motor System

Cascade Control of Grid-Connected PV Systems Using TLBO-Based Fractional-Order PID

Application of Fractional PID Controller to Single and Multi-Variable Non-Minimum Phase Systems

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