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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Identification and estimation of constant and variable fractional order dynamical systems.

2011/03/D/ST7/00260

Keywords:

fractional calculus identification estimation dynamical systems

Descriptors:

  • ST7_1: Control engineering in automation and robotics
  • ST7_4: Micro- and nanosystems engineering
  • ST7_7: Signal processing

Panel:

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

Host institution :

Politechnika Warszawska, Wydział Elektryczny

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Dominik Sierociuk 

Number of co-investigators in the project: 4

Call: SONATA 2 - announced on 2011-09-15

Amount awarded: 530 200 PLN

Project start date (Y-m-d): 2012-09-03

Project end date (Y-m-d): 2015-09-02

Project duration:: 36 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. Generator programowalny HMF 2525 (3 000 PLN)
  2. Komputery przenośne (10 000 PLN)
  3. Routery (4 000 PLN)
  4. Komputery stacjonarny ze slotem ISA (6 000 PLN)
  5. Oprogramowanie do projektowania płytek obwodów drukowanych (8 000 PLN)

Information in the final report

  • Publication in academic press/journals (9)
  • Articles in post-conference publications (13)
  • Book publications / chapters in book publications (4)
  1. Duality of variable fractional order difference operators and its application in identification
    Authors:
    Dominik Sierociuk, Maciej Twardy
    Academic press:
    Bulletin of the Polish Academy of Sciences-Technical Sciences (rok: 2014, tom: 62(4), strony: 809-815), Wydawca: Polish Academy of Sciences
    Status:
    Published
    DOI:
    10.2478/bpasts-2014-0089 - link to the publication
  2. Fractional Kalman Filter algorithms for correlated system and measurement noises
    Authors:
    Dominik Sierociuk
    Academic press:
    Control and Cybernetics (rok: 2013, tom: 42 (2), strony: 471-490), Wydawca: Systems Research Institute, Polish Academy of Sciences
    Status:
    Published
  3. Numerical schemes for initialized constant and variable fractional-order derivatives: matrix approach and its analog verification
    Authors:
    Dominik Sierociuk, Wiktor Malesza, Michał Macias
    Academic press:
    Journal of Vibration and Control (rok: 2016, tom: 22 (8), strony: 2032-2044), Wydawca: SAGE
    Status:
    Published
    DOI:
    10.1177/1077546314565438 - link to the publication
  4. On the Recursive Fractional Variable-Order Derivative: Equivalent Switching Strategy, Duality, and Analog Modeling
    Authors:
    Dominik Sierociuk, Wiktor Malesza, Michał Macias
    Academic press:
    Circuits, Systems, and Signal Processing (rok: 2015, tom: 34(4), strony: 1077-1113), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00034-014-9895-1 - link to the publication
  5. Analog Modeling of Fractional Switched Order Derivative Using Different Switching Schemes
    Authors:
    Dominik Sierociuk, Michał Macias, Wiktor Malesza
    Academic press:
    IEEE Journal on Emerging and Selected Topics in Circuits and Systems (rok: 2013, tom: 3 (3), strony: 394 - 403), Wydawca: IEEE
    Status:
    Published
    DOI:
    10.1109/JETCAS.2013.2273281 - link to the publication
  6. Fractional order estimation schemes for fractional and integer order systems with constant and variable fractional order colored noise
    Authors:
    Dominik Sierociuk, Paweł Ziubiński
    Academic press:
    Circuits, Systems, and Signal Processing (rok: 2014, tom: 33 (12), strony: 3861-3882), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00034-014-9835-0 - link to the publication
  7. Controllability and observability of fractional variable order discrete state-space systems
    Authors:
    Dominik Sierociuk, Wiktor Malesza
    Academic press:
    International Journal of Systems Science , Wydawca: Institution of Engineering and Technology
    Status:
    Submitted
  8. Derivation, interpretation, and analog modelling of fractional variable order derivative definition
    Authors:
    Dominik Sierociuk, Wiktor Malesza, Michal Macias
    Academic press:
    Applied Mathematical Modelling (rok: 2015, tom: 39(13), strony: 3876–3888), Wydawca: ELSEVIER
    Status:
    Published
    DOI:
    10.1016/j.apm.2014.12.009 - link to the publication
  9. Dual estimation of fractional variable order based on the Unscented Fractional Order Kalman Filter for direct and networked measurements
    Authors:
    Dominik Sierociuk, Michał Macias, Wiktor Malesza, Grzegorz Sarwas
    Academic press:
    Circuits, Systems and Signal Processing (rok: 2016, tom: 35 (6), strony: 2055–2082), Wydawca: Springer
    Status:
    Published
  1. Analytical description and equivalence of additive-switching scheme for fractional variable-order continuous differ-integrals
    Authors:
    Wiktor Malesza, Dominik Sierociuk
    Conference:
    International Conference on Fractional Differentation and its Applications (rok: 2014, ), Wydawca: IEEE
    Data:
    konferencja 23-25 June
    Status:
    Published
  2. Practical analog realization of multiple order switching for recursive fractional variable order derivative
    Authors:
    Dominik Sierociuk, Wiktor Malesza, Michał Macias
    Conference:
    2015 20th International Conference on Methods and Models in Automation and Robotics (MMAR) (rok: 2015, ), Wydawca: IEEE
    Data:
    konferencja 24-27 sierpień
    Status:
    Published
  3. An alternative fractional variable order derivative definition and its analog validation
    Authors:
    Michał Macias, Dominik Sierociuk
    Conference:
    International Conference on Fractional Differentation and its Applications (rok: 2014, ), Wydawca: IEEE
    Data:
    konferencja 23-25 June
    Status:
    Published
  4. Resonance phenomena in circuits with ultracapacitors
    Authors:
    Dominik Sierociuk, Grzegorz Sarwas, Maciej Twardy
    Conference:
    2013 12th International Conference on Environment and Electrical Engineering (EEEIC) (rok: 2013, ), Wydawca: IEEE
    Data:
    konferencja 5-8 May
    Status:
    Published
  5. Comparison of variable fractional order PID controller for different types of variable order derivatives
    Authors:
    Dominik Sierociuk, Michał Macias
    Conference:
    2013 14th International Carpathian Control Conference (ICCC) (rok: 2013, ), Wydawca: IEEE, 345 E 47TH ST, NEW YORK, NY 10017 USA
    Data:
    konferencja 26-29 May
    Status:
    Published
  6. Improved Fractional Kalman Filter for Variable Order Systems with lossy and delayed network
    Authors:
    Paweł Ziubiński, Dominik Sierociuk
    Conference:
    2014 19th International Conference on Methods and Models in Automation and Robotics (MMAR) (rok: 2014, ), Wydawca: IEEE
    Data:
    konferencja 02-05 wrzesień 2014
    Status:
    Published
  7. Initial conditions for a recursive constant and variable fractional-order derivative and its verification based on analog model
    Authors:
    Dominik Sierociuk, Michał Macias
    Conference:
    2014 15th International Carpathian Control Conference (ICCC) (rok: 2014, ), Wydawca: IEEE
    Data:
    konferencja 28-30 May
    Status:
    Published
  8. On a new definition of fractional variable-order derivative
    Authors:
    Dominik Sierociuk, Wiktor Malesza, Michał Macias
    Conference:
    2013 14th International Carpathian Control Conference (ICCC) (rok: 2013, ), Wydawca: IEEE, 345 E 47TH ST, NEW YORK, NY 10017 USA
    Data:
    konferencja 26-29 May
    Status:
    Published
  9. Solution of fractional variable order differential equation
    Authors:
    Wiktor Malesza, Dominik Sierociuk, Michał Macis
    Conference:
    American Control Conference (rok: 2015, ), Wydawca: American Automatic Control Council
    Data:
    konferencja 1-3 lipiec 2015
    Status:
    Published
  10. Switching scheme, equivalence, and analog validation of the alternative fractional variable-order derivative definition
    Authors:
    Dominik Sierociuk, Wiktor Malesza, Michał Macias
    Conference:
    2013 IEEE 52nd Annual Conference on Decision and Control (CDC) (rok: 2013, ), Wydawca: IEEE
    Data:
    konferencja 10-13 Dec.
    Status:
    Published
  11. Equivalent switching strategy and analog validation of the fractional variable order derivative definition
    Authors:
    Dominik Sierociuk, Wiktor Malesza, Michał Macias
    Conference:
    2013 European Control Conference (ECC) (rok: 2013, ), Wydawca: IEEE
    Data:
    konferencja 17-19 July 2013
    Status:
    Published
  12. Improved Fractional Kalman Filter for Variable Order Systems
    Authors:
    Paweł Ziubiński, Dominik Sierociuk
    Conference:
    International Conference on Fractional Differentation and its Applications (rok: 2014, ), Wydawca: IEEE
    Data:
    konferencja 23-25 June
    Status:
    Published
  13. Fractional order noise identification with application to temperature sensor data
    Authors:
    Paweł Ziubiński, Dominik Sierociuk
    Conference:
    2015 IEEE International Symposium on Circuits and Systems (rok: 2015, ), Wydawca: IEEE
    Data:
    konferencja 24-27 maj
    Status:
    Published
  1. Experimental Results of Modeling Variable Order System Based on Discrete Fractional Variable Order State-Space Model
    Authors:
    Dominik Sierociuk, Michał Macias, Paweł Ziubiński
    Book:
    Theoretical Developments and Applications of Non-Integer Order Systems (rok: 2016, tom: 1, strony: 129-139), Wydawca: Springer
    Status:
    Published
  2. Variable Order Fractional Kalman Filters for Estimation over Lossy Network
    Authors:
    Dominik Sierociuk, Paweł Ziubiński
    Book:
    Advances in Modelling and Control of Non-integer-Order Systems (rok: 2015, tom: 1, strony: 285-294), Wydawca: Springer
    Status:
    Published
  3. Matrix Approach and Analog Modeling for Solving Fractional Variable Order Differential Equations
    Authors:
    Wiktor Malesza, Michał Macias, Dominik Sierociuk
    Book:
    Advances in Modelling and Control of Non-integer-Order Systems (rok: 2015, tom: 1, strony: 71-80), Wydawca: Springer
    Status:
    Published
  4. On a New Symmetric Fractional Variable Order Derivative
    Authors:
    Dominik Sierociuk, Wiktor Malesza, Michał Macias
    Book:
    On a New Symmetric Fractional Variable Order Derivative (rok: 2016, tom: 1, strony: 29-39), Wydawca: Springer
    Status:
    Published