Experimental Studies of the Fractional PID and TID Controllers for Industrial Process

High speed and cost effective computing power appoint the possibility of modelling the real world control and signal processing problems with the usage of fractional order calculus tools. This study presents a systematic procedure for a hardware implementation of a fractional controller based on fractional calculus operators using the Grunwald-Letnikov operator, on the Field Programmable Gate Array (FPGA) in the LabVIEW environment. The hardware implementation of the fractional controller is tested in a laboratory during the control of chosen processing.

[1]  Arkadiusz Mystkowski,et al.  Fractional-Order Water Level Control Based on PLC: Hardware-In-The-Loop Simulation and Experimental Validation , 2018 .

[2]  Bijnan Bandyopadhyay,et al.  Stabilization and Control of Fractional Order Systems: A Sliding Mode Approach , 2014 .

[3]  Saurabh Chanana,et al.  Automatic generation control using optimally tuned tilt integral derivative controller , 2016, 2016 IEEE First International Conference on Control, Measurement and Instrumentation (CMI).

[4]  B. Bandyopadhyay,et al.  Solution, Stability and Realization of Fractional Order Differential Equation , 2015 .

[5]  Rachid Mansouri,et al.  IMC-PID Fractional Order Filter Multi-loop Controller Design for Multivariable Systems Based on Two Degrees of Freedom Control Scheme , 2018 .

[6]  Jinde Cao,et al.  Controllability Analysis of Nonlinear Neutral-type Fractional-order Differential Systems with State Delay and Impulsive Effects , 2018 .

[7]  Ivo Petras,et al.  Fractional-Order Nonlinear Systems , 2011 .

[8]  Jinde Cao,et al.  Composite Learning Adaptive Dynamic Surface Control of Fractional-Order Nonlinear Systems , 2020, IEEE Transactions on Cybernetics.

[9]  Delfim F. M. Torres,et al.  FRACTIONAL h-DIFFERENCE EQUATIONS ARISING FROM THE CALCULUS OF VARIATIONS , 2011, 1101.5904.

[10]  Sudhansu Kumar Mishra,et al.  TID and I-TD controller design for magnetic levitation system using genetic algorithm , 2016 .

[11]  Y. Chen,et al.  Design, implementation and application of distributed order PI control. , 2013, ISA transactions.

[12]  T. Nartowicz,et al.  Analitical Method of PID Controller Tuning for a Class of Unstable Plant , 2012 .

[13]  Ewa Pawluszewicz,et al.  Fractional order controller to control pump in FESTO MPS® PA Compact Workstation , 2016, 2016 17th International Carpathian Control Conference (ICCC).

[14]  A. Peterson,et al.  Discrete Fractional Calculus , 2016 .

[15]  V. R. Harindran,et al.  Fractional-order Systems and PID Controllers , 2020 .

[16]  B. Jakovljevic,et al.  On the distributed order PID controller , 2017 .

[17]  Krzysztof Bogdziński,et al.  Research on Ultracapacitors in Hybrid Systems: Case Study , 2018, Energies.

[18]  V. Kumar,et al.  Implementation of fractional order integrator/differentiator on field programmable gate array , 2016 .

[19]  Martin Valtierra-Rodriguez,et al.  Design of a state observer to approximate signals by using the concept of fractional variable-order derivative , 2017, Digit. Signal Process..

[20]  Ewa Pawluszewicz,et al.  Performance Assessment of the Tilt Fractional Order Integral Derivative Regulator for Control Flow Rate in Festo MPS® PA Compact Workstation , 2018, 2018 23rd International Conference on Methods & Models in Automation & Robotics (MMAR).

[21]  Mohammed F. Tolba,et al.  Fractional order integrator/differentiator: FPGA implementation and FOPID controller application , 2019, AEU - International Journal of Electronics and Communications.

[22]  Dipayan Guha,et al.  Maiden application of SSA‐optimised CC‐TID controller for load frequency control of power systems , 2019, IET Generation, Transmission & Distribution.

[23]  L. Mokrani,et al.  A novel Tilt Integral Derivative plus Second Derivative Order for Load Frequency Control problem in power system , 2016, 2016 8th International Conference on Modelling, Identification and Control (ICMIC).

[24]  I. Petráš.  Fractional-Order Nonlinear Systems: Modeling, Analysis and Simulation , 2011 .

[25]  I. Podlubny.  Fractional differential equations : an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications , 1999 .

[26]  Saleh Ahmad,et al.  Design and Implementation of Education and Training Graphical User Interface (GUI) Based on NI LabVIEW for the FESTO MPS PA Compact Workstation , 2019 .

[27]  J. F. Gómez-Aguilar,et al.  On the trajectory tracking control for an SCARA robot manipulator in a fractional model driven by induction motors with PSO tuning , 2018 .

[28]  Ewa Pawluszewicz,et al.  Robust fractional order controller for a linear active magnetic bearing system , 2017, 2017 22nd International Conference on Methods and Models in Automation and Robotics (MMAR).