Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Variable-, fractional-order PID-like control

2016/23/B/ST7/03686

Keywords:

fractional calculus discrete equations PID-control variable fractional-order regulators

Descriptors:

  • ST7_1: Control engineering in automation and robotics
  • ST7_3: Simulation engineering and modelling
  • ST7_4: Micro- and nanosystems engineering

Panel:

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

Host institution :

Politechnika Białostocka, Wydział Informatyki

woj. 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 (Y-m-d): 2017-09-12

Project end date (Y-m-d): 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. Komputer stacjonarny (5 000 PLN)
  2. Laptop z oprogramowaniem (5 000 PLN)
  3. Drukarka OKI C332dn.
  4. Matlab, Simulink, Simulink Control Design (7 000 PLN)

Information in the final report

  • Publication in academic press/journals (14)
  • Articles in post-conference publications (17)
  • Book publications / chapters in book publications (9)
  1. 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 (rok: 2018, tom: Vol. 66, No. 4, strony: 449-454), Wydawca: Polish Academy of Sciences
    Status:
    Published
    DOI:
    10.24425/124261 - link to the publication
  2. Stability of fractional variable order difference systems
    Authors:
    Dorota Mozyrska, Piotr Oziablo, Małgorzata Wyrwas
    Academic press:
    Fractional Calculus and Applied Analysis (rok: 2019, tom: 0,91875, strony: 807-824), Wydawca: DE GRUYTER
    Status:
    Published
    DOI:
    10.1515/fca-2019-0044 - link to the publication
  3. MATLAB Toolbox for fractional-variable-order closed loop systems with a digital controller
    Authors:
    Piotr Oziablo, Dorota Mozyrska, Mariusz Matusiak, Piotr Ostalczyk
    Academic press:
    International Journal of Control, Automation and Systems (rok: 2022, ), Wydawca: Springer, Cham
    Status:
    Submitted
    DOI:
    brak - link to the publication
  4. 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 (rok: 2019, tom: vol.22, nr 1, strony: 217-235), Wydawca: DE GRUYTER
    Status:
    Published
    DOI:
    10.1515/fca-2019-0014 - link to the publication
  5. Optimal Digital Implementation of Fractional-Order Models in a Microcontroller
    Authors:
    Mariusz Matusiak, Marcin Bąkała, Rafał Wojciechowski
    Academic press:
    Entropy (rok: 2020, tom: vol. 22(3), 366, strony: 12 str.), Wydawca: MDPI
    Status:
    Published
    DOI:
    10.3390/e22030366 - 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 (rok: 2020, tom: vol. 68(3), strony: 421–427), Wydawca: Polish Academy of Sciences
    Status:
    Published
    DOI:
    10.24425/bpasts.2020.133367 - link to the publication
  7. 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 (rok: 2019, tom: vol. 68, nr 3, strony: 565-577), Wydawca: Polish Academy of Sciences
    Status:
    Published
    DOI:
    10.24425/aee.2019.129342 - link to the publication
  8. Stability Results for Two-Dimensional Systems of Fractional-Order Difference Equations
    Authors:
    Oana Brandibur, Eva Kaslik, Dorota Mozyrska, Małgorzata Wyrwas
    Academic press:
    Mathematics (rok: 2020, tom: 8(10), 1751, strony: 17 stron), Wydawca: MDPI, Open Access
    Status:
    Published
    DOI:
    10.3390/math8101751 - link to the publication
  9. 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
    Academic press:
    ISA Transactions (rok: 2021, tom: xx, strony: xxx), Wydawca: ISA - Instrumentation, Systems, and Automation Society
    Status:
    Accepted for publication
    DOI:
    10.1016/j.isatra.2021.07.006 - link to the publication
  10. 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 (rok: 2021, tom: 69(5), strony: 10 str.), Wydawca: Polish Academy of Sciences
    Status:
    Published
    DOI:
    10.24425/bpasts.2021.137937 - link to the publication
  11. Systems with Fractional Variable-Order Difference Operator of Convolution Type and Its Stability
    Authors:
    Dorota Mozyrska, Małgorzata Wyrwas
    Academic press:
    Elektronika ir Elektrotechnika (rok: 2018, tom: Vol. 24, nr 5, strony: 69-73), Wydawca: Kaunas University of Technology
    Status:
    Published
    DOI:
    10.5755/j01.eie.24.5.21846 - link to the publication
  12. Discrete-Time Fractional, Variable-Order PID Controller for a Plant With Delay
    Authors:
    Piotr Oziabło, Dorota Mozyrska, Małgorzata Wyrwas
    Academic press:
    Entropy (rok: 2020, tom: 22(7), strony: 17 stron), Wydawca: MDPI
    Status:
    Published
    DOI:
    10.3390/e22070771 - link to the publication
  13. 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 (rok: 2018, tom: 66, strony: 433-440), Wydawca: Polish Academy of Sciences
    Status:
    Published
    DOI:
    10.24425/124259 - link to the publication
  14. Optimization for Software Implementation of Fractional Calculus Numerical Methods in an Embedded System
    Authors:
    Mariusz Matusiak
    Academic press:
    Entropy (rok: 2020, tom: vol. 22(5), 566, strony: 14 str.), Wydawca: MDPI
    Status:
    Published
    DOI:
    10.3390/e22050566 - link to the publication
  1. 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) (rok: 2019, ), Wydawca: IEEE Explore
    Data:
    konferencja 2019-04-23-26
    Status:
    Published
  2. Variable-, Fractional-Order RST/PID Controller Transient Characteristics Calculation
    Authors:
    Piotr Ostalczyk
    Conference:
    23rd International Conference on Methods & Models in Automation & Robotics (MMAR) (rok: 2018, ), Wydawca: IEEE
    Data:
    konferencja 27-30.08
    Status:
    Published
  3. 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) (rok: 2021, ), Wydawca: IEEE Explore
    Data:
    konferencja 2021-05-25-28
    Status:
    Published
  4. 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) (rok: 2020, ), Wydawca: IEEE Explore
    Data:
    konferencja 2019-11-06-08
    Status:
    Published
  5. Fractional-, variable-order discrete-time linear equations – numerical investigations of parameters
    Authors:
    Piotr Oziablo
    Conference:
    2018 International Interdisciplinary PhD Workshop (IIPhDW) (rok: 2018, ), Wydawca: IEEE
    Data:
    konferencja 09-12.05
    Status:
    Published
  6. 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) (rok: 2018, ), Wydawca: IEEE
    Data:
    konferencja 09-12.05
    Status:
    Published
  7. 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) (rok: 2019, ), Wydawca: IEEE Explore
    Data:
    konferencja 2019-05-26-29
    Status:
    Published
  8. 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 (rok: 2018, ), Wydawca: Elsevier, SSRN
    Data:
    konferencja 16-18.07
    Status:
    Published
  9. 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 (rok: 2018, ), Wydawca: Elsevier, SSRN
    Data:
    konferencja 16-18.07
    Status:
    Published
  10. 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 (rok: 2018, ), Wydawca: IEEE
    Data:
    konferencja 27-30.08
    Status:
    Published
  11. 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) (rok: 2018, ), Wydawca: IEEE, 345 E 47TH ST, NEW YORK, NY 10017 USA
    Data:
    konferencja 04-06.07
    Status:
    Published
  12. Variable-, Fractional-Order Linear MIMO System Matrix Description
    Authors:
    Piotr Ostalczyk
    Conference:
    24th International Conference on Methods and Models in Automation and Robotics (MMAR) (rok: 2019, ), Wydawca: IEEE Explore
    Data:
    konferencja 2019-08-26-29
    Status:
    Published
  13. 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) (rok: 2019, ), Wydawca: IEEE Explore
    Data:
    konferencja 2019-08-26-29
    Status:
    Published
  14. 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 (rok: 2018, ), Wydawca: Elsevier, IFAC-papers online
    Data:
    konferencja 9-11.05
    Status:
    Published
  15. Parallel realization of the variable-, fractional-order difference equation
    Authors:
    Piotr Ostalczyk
    Conference:
    18th European Control Conference (ECC) (rok: 2019, ), Wydawca: IEEE Explore
    Data:
    konferencja 2019-06-25-28
    Status:
    Published
  16. 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) (rok: 2019, ), Wydawca: IEEE Xplore® Digital Library
    Data:
    konferencja 2019-07-01-03
    Status:
    Published
  17. 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 (rok: 2018, ), Wydawca: Elsevier, SSRN
    Data:
    konferencja 16-18.07
    Status:
    Published
  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 (rok: 2020, tom: RRNR 2018, strony: 72-85), Wydawca: Springer
    Status:
    Published
  2. Variable, Fractional-Order PID Controller Synthesis Novelty Method
    Authors:
    Piotr Ostalczyk, Piotr Duch
    Book:
    Open Access Books (rok: 2020, tom: -, strony: 17 str.), Wydawca: IntechOpen
    Status:
    Published
  3. 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 (rok: 2020, tom: Vol III, strony: 295-303), Wydawca: Springer, Cham.
    Status:
    Published
  4. Description of the Control Strategies by a-Fractional-Order Backward Difference
    Authors:
    Piotr Ostalczyk
    Book:
    Fractional Order Systems, Optimization, Control, Circuit Realizations and Applications (rok: 2018, tom: 1, strony: 579 – 601), Wydawca: Elsevier – Academic Press, Londyn
    Status:
    Published
  5. 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 (rok: 2020, tom: vol. 1196(74), strony: 879–890), Wydawca: Springer, Cham
    Status:
    Published
  6. 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 (rok: 2020, tom: vol. 1196, strony: 891-903), Wydawca: Springer, Cham
    Status:
    Published
  7. 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 (rok: 2020, tom: Vol. III, strony: 305-314), Wydawca: Spronger Cham.
    Status:
    Published
  8. 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, (rok: 2019, tom: vol 496., strony: 204-216), Wydawca: Springer, Cham.
    Status:
    Published
  9. 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 (rok: 2019, tom: 496, strony: 204-216), Wydawca: Lecture Notes in Electrical Engineering, Springer International Publishing AG
    Status:
    Published

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