Superstabilization of positive linear electrical circuit by state-feedbacks

• Autorzy: Kaczorek T.

Identyfikatory

DOI

10.1515/bpasts-2017-0075

• Języki publikacji: EN

Abstrakty

EN

The concept of superstability of positive linear electrical circuits is introduced and its properties are characterized. The superstabilization of positive and nonpositive electrical circuits by state-feedbacks is analyzed.

Słowa kluczowe

EN

positive; electrical circuit; superstability; state-feedback

PL

pozytywny; obwód elektryczny; superstabilność; informacja zwrotna

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2017
• Tom: Vol. 65, nr 5
• Strony: 703--708
• Opis fizyczny: Bibliogr. 19 poz., rys., wykr.

Twórcy

autor

Kaczorek T.

• Faculty of Electrical Engineering, Białystok Univeristy of Technology, 45D Wiejska St., 15-351 Białystok, Poland

Bibliografia

• [1] L. Farina and S. Rinaldi, Positive Linear Systems. Theory and Applications, J. Wiley, New York, 2000.
• [2] T. Kaczorek, Positive 1D and 2D Systems, Springer-Verlag, London, 2002.
• [3] T. Kaczorek and K. Rogowski, Fractional Linear Systems and Electrical Circuits, Studies in Systems, Decision and Control, vol. 13, Springer, 2015.
• [4] T. Kaczorek, “A class of positive and stable time-varying electrical circuits”, Przegląd Elektrotechniczny 91(5), 121‒124 (2015) [in Polish].
• [5] T. Kaczorek, “Constructability and observability of standard and positive electrical circuits”, Przegląd Elektrotechniczny 89(7), 132‒136 (2013) [in Polish].
• [6] T. Kaczorek, “Decoupling zeros of positive continuous-time linear systems and electrical circuits”, Advances in Systems Science. Advances in Intelligent Systems and Computing 240, 1‒15 (2014).
• [7] T. Kaczorek, “Minimal-phase positive electrical circuits”, Przegląd Elektrotechniczny 92(3), 182‒189 (2016) [in Polish].
• [8] T. Kaczorek, “Normal positive electrical circuits”, IET Circuits Theory and Applications 9(5), 691‒699 (2015).
• [9] T. Kaczorek, “Positive electrical circuits and their reachability”, Archives of Electrical Engineering 60(3), 283‒301 (2011).
• [10] T. Kaczorek, “Positive fractional linear electrical circuits”, Proceedings of SPIE, vol. 8903, Bellingham WA, USA, Art. No 3903‒35 (2013).
• [11] T. Kaczorek, “Positive unstable electrical circuits”, Przegląd Elektrotechniczny 88(5a), 187‒192 (2012) [in Polish].
• [12] T. Kaczorek, “Infinite eigenvalue assignment by output-feedback for singular systems”, Int. J. Appl. Math. Comput. Sci. 14(1), 19‒23 (2004).
• [13] T. Kaczorek, “Zeroing of state variables in descriptor electrical circuits by state-feedbacks”, Przegląd Elektrotechniczny 89(10), 200‒203 (2013) [in Polish].
• [14] M. Ait Rami and F. Tadeo, “Controller synthesis for positive linear systems with bounded controls”, IEEE Transactions on Circuits and Systems 54(2), 151‒155 (2007).
• [15] T. Kaczorek and K. Borawski, “Stability of continuous-time and discrete-time linear systems with inverse state matrices”, Measurement Automation Monitoring 62(4), 132‒135 (2016).
• [16] Ł. Sajewski, “Positive stable minimal realization of fractional discrete-time linear systems”, Advances in the Theory and Applications of Non-integer Order Systems, eds. Wojciech Mitkowski, Janusz Kacprzyk, Jerzy Baranowski, Poland in Lecture Notes in Electrical Engineering, vol. 257, 15‒30 (2013).
• [17] B.T. Polyak and P.S. Shcherbakov, “Superstable linear control systems. I. Analysis”, Automation and Remote Control 63(8), 1239‒1254 (2002).
• [18] B.T. Polyak and P.S. Shcherbakov, “Superstable linear control systems. II. Design”, Automation and Remote Control 63(11), 1745‒1763 (2002).
• [19] Y.V. Talagaev, “Robust analysis and superstabilization of chaotic systems”, IEEE Int. Conf. on Control Applications, Juan Les Antibes, 1431‒1436 (2014).

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).