A new fractional order controller tuning method based on Bode’s ideal transfer function

Keziz, Bouziane; Djouambi, Abdelbaki; Ladaci, Samir

doi:10.1007/s40435-020-00608-z

Cited by 9 publications

(3 citation statements)

References 15 publications

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“…The FOC obtained using CRONE is given by (38). For getting the simulation results, Figure 1 is implemented in the MATLAB/SIMULINK with the C (s) given by ( 31) and G (s) given by (30). The set point R for the tank 2 height, is selected as 10 cm.…”

Section: Time Domain Resultsmentioning

confidence: 99%

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Analytical design of the fractional order controller and robustness verification

Vavilala

Thirumavalavan

2021

IJRA

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<div data-canvas-width="397.2227827050999">This paper proposes a fractional order controller (FOC) for the level control problem of the coupled tank system, using the desired time domain specifications. The coupled tank system is used in the chemical industries for the storage and mixing of liquids. The FOC is designed analytically using the direct synthesis method. In the direct synthesis method, the Bode's ideal loop transfer function is chosen as the desired transfer function. Bode's loop transfer function has the advantages like robustness to system gain variations, constant phase and very high gain margin. Performance of the proposed controller is compared with the state of the art literature. Simulation results showed that the proposed controller has the least peak overshoot. The robust performance of the proposed controller is also the best. Robust stability of the system with the proposed controller is verified, and the system is found to be robustly stable.</div>

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Section: Time Domain Resultsmentioning

confidence: 99%

“…Frequency domain specifications are used to tune the controller parameters. In a recent work, Keziz et al, discussed the design of FOC with Bode's ideal OLTF as a reference model and pole placement technique for controller tuning [30]. The controller is simple and robust.…”

Section: Introductionmentioning

confidence: 99%

Analytical design of the fractional order controller and robustness verification

Vavilala

Thirumavalavan

2021

IJRA

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“…Later, other approaches and controller design methods were developed. [13][14][15][16] Since the coupled tanks experiment is suited to demonstrate the multivariable control concepts and methods, many research works dealing with the realtime water level control are published. [17][18][19][20][21][22] As an example, two internal model control (IMC)-proportionalintegral (PI) controllers to maintain the water level in the two upper tanks of the process at desired values, regardless of the interaction among them, are proposed.…”

Section: Introductionmentioning

confidence: 99%

Real-time application of IMC-PID-FO multi-loop controllers on the coupled tanks process

Chekari

Mansouri

Bettayeb

2021

Proceedings of the Institution of Mechanical Engineers, Part I:

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The coupled tanks process is a two input-two output system. It presents a nonlinear behavior and interactions characteristic. After the nonlinear model is obtained, it is linearized around an operating point. A fractional-order proportional–integral–derivative based on the internal model control paradigm (1DOF-IMC-PID-FO) multi-loop controller is determined without considering the interactions, and a fractional-order proportional–integral–derivative based on the 2-degree-of-freedom internal model control structure (2DOF-IMC-PID-FO) multi-loop controller is determined by considering the interactions. Thus, an interactions reduction effect controller is calculated. Both controllers are implemented on a real-time process using the Real Time Windows Target of MATLAB. The objective of the control is to maintain the water level in the lower tanks at desired values. In the experiment, setpoint tracking and disturbance rejection tests are carried out to assess the performance of both 1DOF and 2DOF-IMC-PID-FO multi-loop controllers.

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Tuning of the two degrees of freedom FOIMC based on the Smith predictor

Vavilala¹,

Thirumavalavan²

2021

Int. J. Dynam. Control

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A new fractional order controller tuning method based on Bode’s ideal transfer function

Cited by 9 publications

References 15 publications

Analytical design of the fractional order controller and robustness verification

Analytical design of the fractional order controller and robustness verification

Real-time application of IMC-PID-FO multi-loop controllers on the coupled tanks process

Tuning of the two degrees of freedom FOIMC based on the Smith predictor

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