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Design and application of noniteger order subsystems in control systems

2013/09/D/ST7/03960

Keywords

Descriptors

  • ST1_17: Teoria sterowania i optymalizacja
  • ST7_1: Inżynieria sterowania
  • ST7_4: Inżynieria systemów, sensoryka, automatyka

Panel

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

Host institution

Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie, Wydział Elektrotechniki, Automatyki, Informatyki i Inżynierii Biomedycznej

Voivodeship: małopolskie

Other projects carried out by the institution »

Principal investigator (from the host institution)

dr Jerzy Baranowski

Number of co-investigators in the project: 6

Call

SONATA 5 – announced on 2013-03-15

Amount awarded
366 350 PLN
Project start date
2014-02-14
Project end date
2017-02-13
Project duration
36 months (the same as in the proposal)
Project status
Project settled

Equipment purchased [PL]

  1. Maple - symbolic computing software (4 pcs). Cost: 16 000 PLN
  2. Monitor komputerowy. Cost: 1 060 PLN
  3. System komputerowy do algebry numerycznej i symulacji. Cost: 6 000 PLN
  4. System komputerowy do analizy numerycznej. Cost: 6 000 PLN
  5. System komputerowy do obliczeń optymalizacyjnych. Cost: 6 000 PLN
  6. System obliczeniowy w technologii OSX. Cost: 8 000 PLN

Information in the final report

Publication in academic press/journals (7)

  1. Applications of Direct Lyapunov Method in Caputo Non-Integer Order Systems.

    Authors:
    Jerzy Baranowski, Marta Zagorowska, Waldemar Bauer, Tomasz Dziwinski, Pawel Piatek
    Academic press:
    Elektronika ir Elektrotechnika (year: 2015, volume: 21(2), pages: 46308), Publisher: KAUNAS UNIV TECHNOLOGY
    Status:
    Published
    DOI:
    10.5755/j01.eee.21.2.11505 – link to the publication

  2. Stabilization of a Second Order System with a Time Delay Controller

    Authors:
    Jerzy Baranowski
    Academic press:
    CONTROL ENGINEERING AND APPLIED INFORMATICS (year: 2016, volume: 18, pages: 46345), Publisher: ROMANIAN SOC CONTROL TECH INFORMATICS, 313 SPLAIUL INDEPENDENTEI, BUCHAREST, 060042, ROMANIA
    Status:
    Published
    DOI:
    link to the publication

  3. Convergence of Laguerre Impulse Response Approximation for Non-Integer Order Systems

    Authors:
    P. Bania, J. Baranowski i M. Zagórowska
    Academic press:
    Mathematical Problems in Engineering (year: 2016, volume: 2016, pages: 13), Publisher: Hindawi
    Status:
    Published
    DOI:
    10.1155/2016/9258437 – link to the publication

  4. A Comparison between Integer Order and Non-integer Order Controllers Applied to a Water Levelling System

    Authors:
    Bartosz Kania, Tomasz Dziwiński, Waldemar Bauer, Marta Zagórowska, Jerzy Baranowski
    Academic press:
    AUTOMATYKA/AUTOMATICS (year: 2014, volume: 18(2), pages: 71-84), Publisher: Wydawnictwa AGH
    Status:
    Published

  5. Approximation of optimal filter for Ornstein–Uhlenbeck process with quantised discrete-time observation

    Authors:
    Piotr Bania & Jerzy Baranowski
    Academic press:
    International Journal of Control (year: 2017, volume: -, pages: -), Publisher: Taylor & Francis
    Status:
    Published
    DOI:
    10.1080/00207179.2017.1282627 – link to the publication

  6. Fractional Band-Pass Filters: Design, Implementation and Application to EEG Signal Processing

    Authors:
    Jerzy Baranowski and Paweł Piątek
    Academic press:
    Journal of Circuits, Systems and Computers (year: 2017, volume: 26, pages: 21), Publisher: WORLD SCIENTIFIC PUBL CO PTE LTD 5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE
    Status:
    Published
    DOI:
    10.1142/S0218126617501705 – link to the publication

  7. On Digital Realizations of Non-integer Order Filters

    Authors:
    Jerzy Baranowski, Waldemar Bauer, Marta Zagórowska, Paweł Piątek
    Academic press:
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING (year: 2016, volume: 35, pages: 2083-2107), Publisher: SPRINGER BIRKHAUSER, 233 SPRING STREET, 6TH FLOOR, NEW YORK, NY 10013 USA
    Status:
    Published
    DOI:
    10.1007/s00034-016-0269-8 – link to the publication

Articles in post-conference publications (21)

  1. Bi-fractional filters, part 2: Right half-plane case

    Authors:
    Baranowski, J.; Piatek, P. ; Bauer, W. ; Dziwinski, T. ; Zagorowska, M.
    Conference:
    Methods and Models in Automation and Robotics (MMAR), 2014 19th International Conference On (year: 2014, pages: 369-373), Publisher: IEEE
    Date:
    conference 2-5 Sept. 2014
    Status:
    Published
    DOI:
    link to the publication

  2. Remarks On Distributed Frequency Model Of Non-Integer Integrator

    Authors:
    Jerzy Baranowski
    Conference:
    Materiały XXXIX Międzynarodowej konferencji z podstaw elektrotechniki i teorii obwodów IC-SPETO (year: 2016, pages: 2), Publisher: Wydawnictwa PolŚl
    Date:
    conference 18-21.05.2016
    Status:
    Published

  3. Impulse response approximation method for bi-fractional filter

    Authors:
    Jerzy Baranowski, Marta Zagórowska, Piotr Bania, Waldemar Bauer, Tomasz Dziwiński, and Paweł Piątek
    Conference:
    Methods and Models in Automation and Robotics (MMAR), 2014 19th International Conference On (year: 2014, pages: 379-383), Publisher: IEEE
    Date:
    conference 2-5 Sept. 2014
    Status:
    Published
    DOI:
    link to the publication

  4. Analysis of performance indicators for optimization of non-integer order controllers

    Authors:
    Marta Zagórowska
    Conference:
    Telecommunications and Signal Processing (TSP), 2016 39th International Conference on (year: 2016, pages: 615 - 619), Publisher: IEEE
    Date:
    conference 27-29 June 2016
    Status:
    Published

  5. Stability analysis in non-integer order controller tuning

    Authors:
    Marta Zagórowska
    Conference:
    2016 21st International Conference on Methods and Models in Automation and Robotics (MMAR) (year: 2016, pages: 327 - 332), Publisher: IEEE
    Date:
    conference 29 Aug.-1 Sept. 2016
    Status:
    Published

  6. Application of reduced models of non-integer order integrator to the realization of PIλD controller

    Authors:
    Waldemar Bauer ; Marek Rydel
    Conference:
    Telecommunications and Signal Processing (TSP), 2016 39th International Conference on (year: 2016, pages: 611 - 614), Publisher: IEEE
    Date:
    conference 27-29 June 2016
    Status:
    Published

  7. Design and Implementation of Non-Integer Band Pass Filters for EEG Processing

    Authors:
    Baranowski, Jerzy; Piatek, Pawel; Niemczyk, Kamelia
    Conference:
    39th International Conference on Telecommunications and Signal Processing (TSP) Location: Vienna, AUSTRIA (year: 2016, pages: 625-629), Publisher: IEEE
    Date:
    conference JUN 27-29, 2016
    Status:
    Published

  8. Parametric optimization of PDα controller using Laguerre function approximation

    Authors:
    M. Zagorowska ; J. Baranowski ; P. Bania ; W. Bauer ; T. Dziwinski ; P. Piatek
    Conference:
    Methods and Models in Automation and Robotics (MMAR), 2015 20th International Conference on (year: 2015, pages: 104 - 109), Publisher: IEEE
    Date:
    conference 24-27 Aug. 2015
    Status:
    Published

  9. Time-domain Oustaloup approximation

    Authors:
    J. Baranowski ; W. Bauer ; M. Zagorowska ; T. Dziwinski ; P. Piatek
    Conference:
    Methods and Models in Automation and Robotics (MMAR), 2015 20th International Conference on (year: 2015, pages: 116 - 120), Publisher: IEEE
    Date:
    conference 24-27 Aug. 2015
    Status:
    Published

  10. Simulational analysis of non-integer order system behaviour under relay control

    Authors:
    Baranowski, J.; Piatek, P. ; Bauer, W. ; Dziwinski, T. ; Zagorowska, M.
    Conference:
    Methods and Models in Automation and Robotics (MMAR), 2014 19th International Conference On (year: 2014, pages: 374-378), Publisher: IEEE
    Date:
    conference 2-5 Sept. 2014
    Status:
    Published
    DOI:
    link to the publication

  11. Robust non-integer order controller for air heater

    Authors:
    Baranowski, J.; Piatek, P.; Bauer, W.; Dziwinski, T.; Zagorowska, M.
    Conference:
    Methods and Models in Automation and Robotics (MMAR), 2014 19th International Conference On (year: 2014, pages: 434-438), Publisher: IEEE
    Date:
    conference 2-5 Sept. 2014
    Status:
    Published
    DOI:
    link to the publication

  12. Discretisation of different non-integer order system approximations

    Authors:
    Baranowski, J.; Piatek, P.; Bauer, W.; Dziwinski, T.; Zagorowska, M.
    Conference:
    Methods and Models in Automation and Robotics (MMAR), 2014 19th International Conference On (year: 2014, pages: 429-433), Publisher: IEEE
    Date:
    conference 2-5 Sept. 2014
    Status:
    Published
    DOI:
    link to the publication

  13. Laypunov function method: non-integer order case

    Authors:
    Marta Zagórowska, Jerzy Baranowski, Waldemar Bauer, Tomasz Dziwiński, and Paweĺ Piątek
    Conference:
    XXXVII Międzynarodowa konferencja z podstaw elektrotechniki i teorii obwodów IC-SPETO (year: 2014, pages: 64-65), Publisher: Wydawnictwa PolŚl
    Date:
    conference 21-24.05.2014
    Status:
    Published

  14. Remarks on impulse response of non-integer order systems

    Authors:
    Jerzy Baranowski, Marta Zagórowska, Waldemar Bauer, Tomasz Dziwiński, and Paweĺ Piątek
    Conference:
    XXXVII Międzynarodowa konferencja z podstaw elektrotechniki i teorii obwodów IC-SPETO (year: 2014, pages: 50-54), Publisher: Wydawnictwa PolŚl
    Date:
    conference 21-24.05.2014
    Status:
    Published

  15. Oustaloup Parallel Approximation

    Authors:
    Waldemar Bauer, Jerzy Baranowski, Tomasz Dziwiński, Paweł Piątek and Marta Zagórowska
    Conference:
    Materiały XXXVIII Międzynarodowej konferencji z podstaw elektrotechniki i teorii obwodów IC-SPETO (year: 2015, pages: 51-52), Publisher: Wydawnictwa PolŚl
    Date:
    conference 20–23.05.2015
    Status:
    Published

  16. Hurwitz-like criterion for nonlinear non-integer order systems

    Authors:
    Marta Zagórowska, Jerzy Baranowski, Waldemar Bauer, Tomasz Dziwiński, and Paweł Piątek.
    Conference:
    Materiały XXXVIII Międzynarodowej konferencji z podstaw elektrotechniki i teorii obwodów IC-SPETO (year: 2015, pages: 53–54), Publisher: Wydawnictwa PolŚl
    Date:
    conference 20–23.05.2015
    Status:
    Published

  17. Stabilisation of magnetic levitation with a PIλD controller

    Authors:
    W. Bauer; J. Baranowski ; T. Dziwinski ; P. Piatek ; M. Zagorowska
    Conference:
    Methods and Models in Automation and Robotics (MMAR), 2015 20th International Conference on (year: 2015, pages: 638 - 642), Publisher: IEEE
    Date:
    conference 24-27 Aug. 2015
    Status:
    Published

  18. On the practical implementation of non-integer order filters

    Authors:
    T. Dziwinski ; P. Piatek ; J. Baranowski ; W. Bauer ; M. Zagorowska
    Conference:
    Methods and Models in Automation and Robotics (MMAR), 2015 20th International Conference on (year: 2015, pages: 921 - 924), Publisher: IEEE
    Date:
    conference 24-27 Aug. 2015
    Status:
    Published

  19. Quadrature based approximations of non-integer order integrator on infinite integration interval

    Authors:
    Jerzy Baranowski; Marta Zagórowska
    Conference:
    2016 21st International Conference on Methods and Models in Automation and Robotics (MMAR) (year: 2016, pages: 178 - 183), Publisher: IEEE
    Date:
    conference 29 Aug.-1 Sept. 2016
    Status:
    Published

  20. Bayesian analysis of EEG signal frequency components

    Authors:
    Jędrzej Chiliński; Waldemar Bauer; Jerzy Baranowski
    Conference:
    2016 21st International Conference on Methods and Models in Automation and Robotics (MMAR) (year: 2016, pages: 767 - 771), Publisher: IEEE
    Date:
    conference 29 Aug.-1 Sept. 2016
    Status:
    Published

  21. Implementation of non-integer PIλDμ controller for the ATmega328P micro-controller

    Authors:
    Waldemar Bauer
    Conference:
    2016 21st International Conference on Methods and Models in Automation and Robotics (MMAR) (year: 2016, pages: 118 - 121), Publisher: IEEE
    Date:
    conference 29 Aug.-1 Sept. 2016
    Status:
    Published

Book publications / chapters in book publications (13)

  1. Parametric Optimization of Non-Integer Order PDμ Controller for Delayed System

    Authors:
    Marta Zagórowska
    Book:
    Theoretical Developments and Applications of Non-Integer Order Systems (year: 2016, volume: 1, pages: 259-270), Publisher: Springer
    Status:
    Published

  2. Implementation of Non-Integer Order Controller Using Oustaloup Parallel Approximation for Air Heating Process Trainer

    Authors:
    Waldemar Bauer
    Book:
    Theoretical Developments and Applications of Non-Integer Order Systems (year: 2016, volume: 1, pages: 239-246), Publisher: Springer
    Status:
    Published

  3. Adaptive Non-Integer Controller for Water Tank System

    Authors:
    Jerzy Baranowski, Waldemar Bauer , Marta Zagórowska, Aleksandra Kawala-Janik, Tomasz Dziwiński, Paweł Piątek
    Book:
    Theoretical Developments and Applications of Non-Integer Order Systems (year: 2016, volume: 1, pages: 271-280), Publisher: Springer
    Status:
    Published

  4. Analysis of Performance Indicators for Tuning Non-integer Order Controller

    Authors:
    Marta Zagórowska
    Book:
    Theory and Applications of Non-integer Order Systems (year: 2017, volume: -, pages: 307-317), Publisher: Springer International Publishing
    Status:
    Published

  5. Stability Properties of Discrete Time-Domain Oustaloup Approximation

    Authors:
    Jerzy Baranowski, Waldemar Bauer , Marta Zagórowska
    Book:
    Theoretical Developments and Applications of Non-Integer Order Systems (year: 2016, volume: 1, pages: 99-103), Publisher: Springer
    Status:
    Published

  6. Lyapunov Direct Method for Non-integer Order Systems

    Authors:
    Marta Zagórowska, Jerzy Baranowski, Waldemar Bauer, Tomasz Dziwiński, Paweł Piątek, Wojciech Mitkowski
    Book:
    6th Conference on Non-integer Order Calculus and Its Applications, 2014 Opole, Poland (year: 2015, volume: 1, pages: 221-228), Publisher: Springer
    Status:
    Published
    DOI:
    link to the publication

  7. Implementation of Bi-fractional Filtering on the Arduino Uno Hardware Platform

    Authors:
    Waldemar Bauer; Aleksandra Kawala-Janik
    Book:
    Theory and Applications of Non-integer Order Systems (year: 2017, volume: -, pages: 419-428), Publisher: Springer International Publishing
    Status:
    Published

  8. Bi-Fractional Filters, Part 1: Left Half-Plane Case

    Authors:
    Paweł Piątek, Jerzy Baranowski, Marta Zagórowska, Waldemar Bauer, Tomasz Dziwiński
    Book:
    Advances in Modelling and Control of Non-integer-Order Systems (year: 2015, volume: 1, pages: 81-90), Publisher: Springer
    Status:
    Published
    DOI:
    link to the publication

  9. Non-integer order filtration of electromyographic signals

    Authors:
    Jerzy Baranowski, Paweł Piątek, Aleksandra Kawala-Janik, Marta Zagórowska, Waldemar Bauer, and Tomasz Dziwiński
    Book:
    Advances in Modelling and Control of Noninteger-order Systems (year: 2015, volume: 1, pages: 231-237), Publisher: Springer
    Status:
    Published
    DOI:
    link to the publication

  10. Quadrature based approximations of non-integer order integrator on finite integration interval

    Authors:
    Jerzy Baranowski
    Book:
    Theory and Applications of Non-integer Order Systems (year: 2017, volume: -, pages: 46346), Publisher: Springer International Publishing
    Status:
    Published

  11. Robust Non-integer Order Controller for Air Heating Process Trainer

    Authors:
    Tomasz Dziwiński, Waldemar Bauer, Jerzy Baranowski, Paweł Piątek, Marta Zagórowska
    Book:
    Advances in Modelling and Control of Non-integer-Order Systems (year: 2015, volume: 1, pages: 249-256), Publisher: Springer
    Status:
    Published
    DOI:
    link to the publication

  12. Comparison of Performance Indices for Tuning of PI λ D μ Controller for Magnetic Levitation System

    Authors:
    Waldemar Bauer, Tomasz Dziwiński, Jerzy Baranowski, Paweł Piątek, Marta Zagórowska
    Book:
    Advances in Modelling and Control of Non-integer-Order Systems (year: 2015, volume: 1, pages: 125-133), Publisher: Springer
    Status:
    Published
    DOI:
    link to the publication

  13. Impulse Response Approximation Method for Fractional Order Lag

    Authors:
    Marta Zagórowska, Jerzy Baranowski, Piotr Bania, Paweł Piątek, Waldemar Bauer, Tomasz Dziwiński
    Book:
    Advances in Modelling and Control of Non-integer-Order Systems (year: 2015, volume: 1, pages: 113-122), Publisher: Springer
    Status:
    Published
    DOI:
    link to the publication

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Graphic design and implementation: Jakub Piotrowski