Fractional-order controller design and digital implementation using FOMCON toolbox for MATLAB

Tepljakov, Aleksei; Petlenkov, Eduard; Belikov, Juri; Finajev, Jevgeni

doi:10.1109/cacsd.2013.6663486

Cited by 60 publications

(35 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…In this work we use the fractional first-order plus dead time model (FO-FOPDT). A model of this type was previously considered and successfully applied to process control problems in, e.g., [12] and in our earlier works [13], [14]. It has the form…”

Section: Overview Of Employed Fractional-order Calculus Toolsmentioning

confidence: 98%

Gain and order scheduled fractional-order PID control of fluid level in a multi-tank system

Tepljakov

Petlenkov

Belikov

2014

ICFDA'14 International Conference on Fractional Differentiation and Its Applications 2014

Self Cite

View full text Add to dashboard Cite

Gain scheduling is widely regarded as an effective nonlinear control technique, and its extension to fractional-order control is a natural step. In this paper, we investigate a particular method based on a gain and order scheduling approach for fractional-order PID controllers. The method is applied to the control of a real-life laboratory model of an industrial multitank system. Gain and order scheduling is realized by means of a control law comprising two static PID controllers and an appropriate control blending rule providing this way means for stability analysis of the control system. The design of controllers for level control in the first tank is carried out by considering linear fractional-order approximations of the nonlinear model of the process with locally applicable frequency-domain robustness specifications. The controller for the second tank is obtained using time-domain optimization of the transient response. In addition, an extended Kalman filter is designed to reduce measurement noise propagation into the control law thereby enhancing the performance of the pump. The majority of necessary computations, including those related to controller design, are performed numerically in the FOMCON toolbox for MATLAB.

show abstract

Section: Overview Of Employed Fractional-order Calculus Toolsmentioning

confidence: 98%

Gain and order scheduled fractional-order PID control of fluid level in a multi-tank system

Tepljakov

Petlenkov

Belikov

2014

ICFDA'14 International Conference on Fractional Differentiation and Its Applications 2014

Self Cite

View full text Add to dashboard Cite

show abstract

“…In 2013, A. Tepljakov et al [112] , [113] reported their work on "Fractional-order Controller Design and Digital Implementation using FOMCON Toolbox for MATLAB". They presented the suite of tools of the FOMCON ("Fractional-order Modeling and Control") toolbox for MATLAB, which is used for fractional-order PID controller design and hardware realization.…”

Section: Fomcon Toolboxmentioning

confidence: 99%

Review of fractional PID controller

Shah

Agashe²

2016

Mechatronics

568

285

View full text Add to dashboard Cite

“…7), initially the system is tuned by a classical tuning method (Ziegler and Nichols) assuming = = 1 [6]. For optimization of controller parameters, a simple Nelder Mead method is used [50,48,49,35]. It is a heuristic search method that can converge on non-stationary points to optimize solutions.…”

Section: Experimental Set-up Of Multi-variable Systemmentioning

confidence: 99%

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

Shah¹,

Sekhar²,

Agashe³

2019

IJRTE

View full text Add to dashboard Cite

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

show abstract

Fractional-order controller design and digital implementation using FOMCON toolbox for MATLAB

Cited by 60 publications

References 9 publications

Gain and order scheduled fractional-order PID control of fluid level in a multi-tank system

Gain and order scheduled fractional-order PID control of fluid level in a multi-tank system

Review of fractional PID controller

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

Contact Info

Product

Resources

About