Observers of fractional linear continuous-time systems

• Autorzy: Kaczorek Tadeusz

Identyfikatory

DOI

10.24425/acs.2022.140865

• Języki publikacji: EN

Abstrakty

EN

The concepts of full-order and reduced-order observers are extended to the fractional linear continuous-time systems. Necessary and sufficient conditions for the existence of the observers for fractional linear systems are established. Procedures for designing of the observers are given and illustrated by examples.

Słowa kluczowe

EN

design; fractional; linear; continuous-time; system; full-order; reduced-order; observer

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2022
• Tom: Vol. 32, No. 1
• Strony: 73--84
• Opis fizyczny: Bibliogr. 18 poz., wzory

Twórcy

autor

Kaczorek Tadeusz

• Białystok University of Technology, Faculty of Electrical Engineering, Wiejska 45D, 15-351 Białystok, Poland

Bibliografia

• [1] T. Kaczorek: Absolute stability of a class of fractional positive nonlinear systems. International Journal of Applied Mathematics and Computer Science, 29(1), (2019), 93-98. DOI: 10.2478/amcs-2019-0007.
• [2] T. Kaczorek: Analysis of positivity and stability of discrete-time and continuous-time nonlinear systems. Computational Problems of Electrical Engineering, 5(1), (2015), 11-16.
• [3] T. Kaczorek: Analysis of positivity and stability of fractional discrete-time nonlinear systems. Bulletin of the Polish Academy of Sciences Technical Sciences, 64(3), (2016), 491-94. DOI: 10.1515/bpasts-2016-0054.
• [4] T. Kaczorek: Positive linear systems with different fractional orders. Bulletin of the Polish Academy of Sciences Technical Sciences, 58(3), (2010), 453-158. DOI: 10.2478/v10175-010-0043-1.
• [5] T. Kaczorek: Positive linear systems consisting of n subsystems with different fractional orders. IEEE Transactions on Circuits and Systems, 58(7), (2011), 1203-1210. DOI: 10.1109/TCSI.2010.2096111.
• [6] T. Kaczorek: Reduced-order perfect and standard observers for singular continuous-time linear systems. Machine Intelligence and Robotic Control (MIROC), Japan, 2(3), (2000), 93-98.
• [7] T. Kaczorek: Reduced-order perfect nonlinear observers of fractional descriptor discrete-time nonlinear systems. International Journal of Applied Mathematics and Computer Science, 27(2), (2017), 245-251. DOI: 10.1515/amcs-2017-0017.
• [8] T. Kaczorek: Selected Problems of Fractional Systems Theory. Springer, Berlin, 2011.
• [9] T. Kaczorek: Stability of fractional positive nonlinear systems. Archives of Control Sciences, 25(4), (2015), 491-496.
• [10] T. Kaczorek and K. Rogowski: Fractional Linear Systems and Electrical Circuits. Springer, Cham, 2015.
• [11] D.G. Luenberger: Introduction to observers. IEEE Transactions on Automatic Control, AC 16(6), (1971), 596-602. DOI: 10.1109/TAC. 1971.1099826.
• [12] D.G. Luenberger: Observers for multivariable systems. IEEE Transactions on Automatic Control, AC 11(2), (1966), 190-197. DOI: 10.1109/TAG.1966.1098323.
• [13] W. Mitkowski: Dynamical properties of Metzler systems. Bulletin of the Polish Academy of Sciences Technical Sciences, 56(4), (2008), 309-312.
• [14] P. Ostalczyk: Discrete Fractional Calculus. World Scientific, River Edgle, NJ, 2016.
• [15] I. Podlubny: Fractional Differential Equations. Academic Press, San Diego, 1999.
• [16] A. Ruszewski: Stabilily conditions for fractional discrete-lime stale-space systems with delays. 24th International Conference on Methods and Models in Automation and Robotics, Miedzyzdroje, Poland (2019), 185-190.
• [17] L. Sajewski: Decentralized stabilization of descriptor fractional positive continuous-time linear systems with delays. 22nd International Conference on Methods and Models in Automation and Robotics, Międzyzdroje, Poland (2017), 482-487.
• [18] L. Sajewski: Stabilization of positive descriptor fractional discrete-time linear systems with two different fractional orders by decentralized controller. Bulletin of the Polish Academy of Sciences Technical Sciences, 65(5), (2017), 709-714. DOI: 10.1515/bpasts-2017-0076.

Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023)