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Variable-, fractional-order PID-like control

2016/23/B/ST7/03686

Keywords

Descriptors

  • ST7_1: Inżynieria sterowania
  • ST7_3: Inżynieria symulacji i modelowania
  • ST7_4: Inżynieria systemów, sensoryka, automatyka

Panel

ST7 – Systems and communication engineering: electronics, communication, optoelectronics

Host institution

POLITECHNIKA BIAŁOSTOCKA, Wydział Informatyki

Voivodeship: podlaskie

Other projects carried out by the institution »

Principal investigator (from the host institution)

dr hab. Dorota Mozyrska

Number of co-investigators in the project: 8

Call

OPUS 12 – announced on 2016-09-15

Amount awarded
728 200 PLN
Project start date
2017-09-12
Project end date
2021-09-11
Project duration
48 months (the same as in the proposal)
Project status
Project settled

Project description

Download the project description in a pdf file

Note — project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Equipment purchased [PL]

  1. Drukarka OKI C332dn.
  2. Komputer stacjonarny. Cost: 5 000 PLN
  3. Laptop z oprogramowaniem. Cost: 5 000 PLN
  4. Matlab, Simulink, Simulink Control Design. Cost: 7 000 PLN

Information in the final report

Publication in academic press/journals (13)

  1. Optimal Digital Implementation of Fractional-Order Models in a Microcontroller

    Authors:
    Mariusz Matusiak, Marcin Bąkała, Rafał Wojciechowski
    Academic press:
    Entropy (year: 2020, volume: vol. 22(3), 366, pages: 12 str.), Publisher: MDPI
    Status:
    Published
    DOI:
    10.3390/e22030366 – link to the publication

  2. Optimization for Software Implementation of Fractional Calculus Numerical Methods in an Embedded System

    Authors:
    Mariusz Matusiak
    Academic press:
    Entropy (year: 2020, volume: vol. 22(5), 566, pages: 14 str.), Publisher: MDPI
    Status:
    Published
    DOI:
    10.3390/e22050566 – link to the publication

  3. Stability Results for Two-Dimensional Systems of Fractional-Order Difference Equations

    Authors:
    Oana Brandibur, Eva Kaslik, Dorota Mozyrska, Małgorzata Wyrwas
    Academic press:
    Mathematics (year: 2020, volume: 8(10), 1751, pages: 17 stron), Publisher: MDPI, Open Access
    Status:
    Published
    DOI:
    10.3390/math8101751 – link to the publication

  4. Discrete-Time Fractional, Variable-Order PID Controller for a Plant With Delay

    Authors:
    Piotr Oziabło, Dorota Mozyrska, Małgorzata Wyrwas
    Academic press:
    Entropy (year: 2020, volume: 22(7), pages: 17 stron), Publisher: MDPI
    Status:
    Published
    DOI:
    10.3390/e22070771 – link to the publication

  5. Stability and robustness analysis of discrete-time fractional-, piecewise-constant-order pid controller

    Authors:
    Piotr Oziablo, Dorota Mozyrska, Małgorzata Wyrwas
    Academic press:
    Bulletin of the Polish Academy of Sciences: Technical Sciences (year: 2021, volume: 69(5), pages: 10 str.), Publisher: Polish Academy of Sciences
    Status:
    Published
    DOI:
    10.24425/bpasts.2021.137937 – link to the publication

  6. Fractional discrete model of an electrical drive with brushless micro-motor

    Authors:
    Mariusz Matusiak, Marcin Bąkała, Rafał Wojciechowski, Piotr Ostalczyk
    Academic press:
    Bulletin of the Polish Academy of Sciences: Technical Sciences (year: 2020, volume: vol. 68(3), pages: 421–427), Publisher: Polish Academy of Sciences
    Status:
    Published
    DOI:
    10.24425/bpasts.2020.133367 – link to the publication

  7. Stability conditions for fractional-order linear equations with delays

    Authors:
    Dorota Mozyrska, Piotr Ostalczyk, Małgorzata Wyrwas
    Academic press:
    BULLETIN OF THE POLISH ACADEMY OF SCIENCES, Technical Sciences (year: 2018, volume: Vol. 66, No. 4, pages: 449-454), Publisher: Polish Academy of Sciences
    Status:
    Published
    DOI:
    10.24425/124261 – link to the publication

  8. Systems with Fractional Variable-Order Difference Operator of Convolution Type and Its Stability

    Authors:
    Dorota Mozyrska, Małgorzata Wyrwas
    Academic press:
    Elektronika ir Elektrotechnika (year: 2018, volume: Vol. 24, nr 5, pages: 69-73), Publisher: Kaunas University of Technology
    Status:
    Published
    DOI:
    10.5755/j01.eie.24.5.21846 – link to the publication

  9. Fractional-Order Discrete Model of an Independent Wheel Electrical Drive of the Autonomous Platform

    Authors:
    Marcin Bakała, Jacek Nowakowski, Piotr Ostalczyk
    Academic press:
    Bulletin of the Polish Academy of Sciences. Technical Sciences (year: 2018, volume: 66, pages: 433-440), Publisher: Polish Academy of Sciences
    Status:
    Published
    DOI:
    10.24425/124259 – link to the publication

  10. Stability of fractional variable order difference systems

    Authors:
    Dorota Mozyrska, Piotr Oziablo, Małgorzata Wyrwas
    Academic press:
    Fractional Calculus and Applied Analysis (year: 2019, volume: 0,91875, pages: 807-824), Publisher: DE GRUYTER
    Status:
    Published
    DOI:
    10.1515/fca-2019-0044 – link to the publication

  11. Problems in solving fractional differential equations in a microcontroller implementation of an FOPID controller

    Authors:
    Mariusz Matusiak, Piiotr Ostalczyk
    Academic press:
    Archives of Electrical Engineering (year: 2019, volume: vol. 68, nr 3, pages: 565-577), Publisher: Polish Academy of Sciences
    Status:
    Published
    DOI:
    10.24425/aee.2019.129342 – link to the publication

  12. Fractional-order value identification of the discrete integrator from a noised signal. part I

    Authors:
    Piotr Ostalczyk, Dominik Sankowski, Marcin Bąkała, Jacek Nowakowski
    Academic press:
    Fractional Calculus and Applied Analysis (year: 2019, volume: vol.22, nr 1, pages: 217-235), Publisher: DE GRUYTER
    Status:
    Published
    DOI:
    10.1515/fca-2019-0014 – link to the publication

  13. Fractional-variable-order digital controller design tuned with the chaotic yellow saddle goatfish algorithm for the AVR system

    Authors:
    Piotr Oziablo, Dorota Mozyrska, Małgorzata Wyrwas
    Status:
    Accepted for publication

Articles in post-conference publications (17)

  1. Numerical simulations for fractional variable-order equations

    Authors:
    Dorota Mozyrska, Piotr Oziablo
    Conference:
    3rd IFAC Conference on Advances in Proportional-Integral-Derivative Control PID 2018 (year: 2018, pages: 853-858), Publisher: Elsevier, IFAC-papers online
    Date:
    conference 9-11.05
    Status:
    Published

  2. Fractional-, variable-order PID controller implementation based on two discrete-time fractional order operators

    Authors:
    Dorota Mozyrska, Piotr Oziablo, Małgorzata Wyrwas
    Conference:
    7th International Conference on Control, Mechatronics and Automation (ICCMA) (year: 2020, pages: 26-32), Publisher: IEEE Explore
    Date:
    conference 2019-11-06-08
    Status:
    Published

  3. Variable-, Fractional-Order Linear MIMO System Matrix Description

    Authors:
    Piotr Ostalczyk
    Conference:
    24th International Conference on Methods and Models in Automation and Robotics (MMAR) (year: 2019, pages: 243-248), Publisher: IEEE Explore
    Date:
    conference 2019-08-26-29
    Status:
    Published

  4. Stability analysis of discrete-time fractional-order Caputo-type Lorenz system

    Authors:
    Dorota Mozyrska, Małgorzata Wyrwas
    Conference:
    42nd International Conference on Telecommunications and Signal Processing (TSP) (year: 2019, pages: 149-153), Publisher: IEEE Xplore® Digital Library
    Date:
    conference 2019-07-01-03
    Status:
    Published

  5. A digital PID controller based on Grünwald-Letnikov fractional-, variable-order operator

    Authors:
    Piotr Oziablo, Dorota Mozyrska, Małgorzata Wyrwas
    Conference:
    24th International Conference on Methods and Models in Automation and Robotics (MMAR) (year: 2019, pages: 460-465), Publisher: IEEE Explore
    Date:
    conference 2019-08-26-29
    Status:
    Published

  6. On a supercapacitor dynamics mathematical optimal modelling due to different measures

    Authors:
    Piotr Ostalczyk
    Conference:
    6th International Conference on Control, Decision and Information Technologies (CoDIT) (year: 2019, pages: 139-143), Publisher: IEEE Explore
    Date:
    conference 2019-04-23-26
    Status:
    Published

  7. An optimized MATLAB tool for efficient evaluation of fractional-order differential equations of time-varying orders

    Authors:
    Mariusz Matusiak
    Conference:
    2021 American Control Conference (ACC'2021) (year: 2021, pages: 1426-1431), Publisher: IEEE Explore
    Date:
    conference 2021-05-25-28
    Status:
    Published

  8. Parallel realization of the variable-, fractional-order difference equation

    Authors:
    Piotr Ostalczyk
    Conference:
    18th European Control Conference (ECC) (year: 2019, pages: 4128-4133), Publisher: IEEE Explore
    Date:
    conference 2019-06-25-28
    Status:
    Published

  9. Analysis of a closed loop system with DC micro-motor electrical drive with propeller and variable- fractional order PID controller

    Authors:
    Piotr Ostalczyk
    Conference:
    20th International Carpathian Control Conference (ICCC) (year: 2019, pages: 46028), Publisher: IEEE Explore
    Date:
    conference 2019-05-26-29
    Status:
    Published

  10. Fractional-, variable-order discrete-time linear equations – numerical investigations of parameters

    Authors:
    Piotr Oziablo
    Conference:
    2018 International Interdisciplinary PhD Workshop (IIPhDW) (year: 2018, pages: 273-276), Publisher: IEEE
    Date:
    conference 09-12.05
    Status:
    Published

  11. Stability of linear discrete-time systems with the Caputo fractional-, variable-order h-difference operator of convolution type

    Authors:
    Dorota Mozyrska, Małgorzata Wyrwas
    Conference:
    The International Conference on Fractional Differentiation and its Applications: ICFDA'18 (year: 2018, pages: 4 str.), Publisher: Elsevier, SSRN
    Date:
    conference 16-18.07
    Status:
    Published

  12. Stability of Linear Systems with Caputo Fractional-, Variable-Order Difference Operator of Convolution Type

    Authors:
    Dorota Mozyrska, Małgorzata Wyrwas
    Conference:
    41st International Conference on Telecommunications and Signal Processing (TSP) (year: 2018, pages: 619-622), Publisher: IEEE, 345 E 47TH ST, NEW YORK, NY 10017 USA
    Date:
    conference 04-06.07
    Status:
    Published

  13. Logistic Fractional Variable-Order Equation - Numerical Simulations for Fitting Parameters

    Authors:
    Dorota Mozyrska, Piotr Oziablo
    Conference:
    23rd International Conference on Methods and Models in Automation and Robotics: MMAR 2018 (year: 2018, pages: 99-104), Publisher: IEEE
    Date:
    conference 27-30.08
    Status:
    Published

  14. FRACTIONAL-ORDER VALUE IDENTIFICATION FROM a NOISED SIGNAL. Part I

    Authors:
    Piotr Ostalczyk, Dominik Sankowski, Marcin Bąkała
    Conference:
    The International Conference on Fractional Differentiation and its Applications : ICFDA'18 (year: 2018, pages: 4 strony), Publisher: Elsevier, SSRN
    Date:
    conference 16-18.07
    Status:
    Published

  15. Fractional-Order Value Identification From a Noised Signal. Part II

    Authors:
    Dominik Sankowski, Marcin Bąkała, Jacek Nowakowski, Piotr Ostalczyk
    Conference:
    The International Conference on Fractional Differentiation and its Applications : ICFDA'18 (year: 2018, pages: 6 str.), Publisher: Elsevier, SSRN
    Date:
    conference 16-18.07
    Status:
    Published

  16. On a fractional-order backward difference equation solution solved by a microcontroller

    Authors:
    Mariusz Matusiak, Dominik Sankowski, Piotr Ostalczyk
    Conference:
    2018 International Interdisciplinary PhD Workshop (IIPhDW) (year: 2018, pages: 330-334), Publisher: IEEE
    Date:
    conference 09-12.05
    Status:
    Published

  17. Variable-, Fractional-Order RST/PID Controller Transient Characteristics Calculation

    Authors:
    Piotr Ostalczyk
    Conference:
    23rd International Conference on Methods & Models in Automation & Robotics (MMAR) (year: 2018, pages: 93-98), Publisher: IEEE
    Date:
    conference 27-30.08
    Status:
    Published

Book publications / chapters in book publications (9)

  1. Numerical simulations for fitting parameters of linear and logistic-type fractional-, variable-order equations - comparision of methods

    Authors:
    Piotr Oziablo
    Book:
    Advances in Non-Integer Order Calculus and Its Applications (year: 2020, volume: RRNR 2018, pages: 72-85), Publisher: Springer
    Status:
    Published

  2. State Delays Extraction in the Fractional-Order State-Space Model

    Authors:
    Piotr Ostalczyk, Marcin Bąkała, Jacek Nowakowski
    Book:
    Non-Integer Order Calculus and its Applications (2019). RRNR 2017. Lecture Notes in Electrical Engineering, (year: 2019, volume: vol 496., pages: 204-216), Publisher: Springer, Cham.
    Status:
    Published

  3. State delays extraction in the fractional-order state-space model

    Authors:
    Piotr Ostalczyk, Marcin Bąkała, Jacek Nowakowski
    Book:
    Non-Integer Order Calculus and Its Applications (year: 2019, volume: 496, pages: 204-216), Publisher: Lecture Notes in Electrical Engineering, Springer International Publishing AG
    Status:
    Published

  4. Fast Evaluation of Grünwald-Letnikov Variable Fractional-Order Differentiation and Integration Based on the FFT Convolution

    Authors:
    Mariusz Matusiak
    Book:
    A. Bartoszewicz, J. Kabziński, & J. Kacprzyk (Eds.), Advanced, Contemporary Control. Advances in Intelligent Systems and Computing (year: 2020, volume: vol. 1196(74), pages: 879–890), Publisher: Springer, Cham
    Status:
    Published

  5. Variable, Fractional-Order PID Controller Synthesis Novelty Method

    Authors:
    Piotr Ostalczyk, Piotr Duch
    Book:
    Open Access Books (year: 2020, volume: -, pages: 17 str.), Publisher: IntechOpen
    Status:
    Published

  6. Stability of Systems of Fractional-Order Difference Equations and Applications to a Rulkov-Type Neuronal Model

    Authors:
    Oana Brandibur, Eva Kaslik, Dorota Mozyrska, Małgorzata Wyrwas
    Book:
    New Trends in Nonlinear Dynamics (year: 2020, volume: Vol. III, pages: 305-314), Publisher: Spronger Cham.
    Status:
    Published

  7. Fractional-Order Linear System Transformation to the System Described by a Classical Equation

    Authors:
    Piotr Ostalczyk
    Book:
    Bartoszewicz A., Kabziński J., Kacprzyk J. (eds) Advanced, Contemporary Control. Advances in Intelligent Systems and Computing (year: 2020, volume: vol. 1196, pages: 891-903), Publisher: Springer, Cham
    Status:
    Published

  8. Stability of Caputo-Type Fractional Variable-Order Biquadratic Difference Equations

    Authors:
    Oana Brandibur, Eva Kaslik, Dorota Mozyrska, Małgorzata Wyrwas
    Book:
    New Trends in Nonlinear Dynamics (year: 2020, volume: Vol III, pages: 295-303), Publisher: Springer, Cham.
    Status:
    Published

  9. Description of the Control Strategies by a-Fractional-Order Backward Difference

    Authors:
    Piotr Ostalczyk
    Book:
    Fractional Order Systems, Optimization, Control, Circuit Realizations and Applications (year: 2018, volume: 1, pages: 579 – 601), Publisher: Elsevier – Academic Press, Londyn
    Status:
    Published

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Graphic design and implementation: Jakub Piotrowski