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Design of regular positive and stable descriptor systems via state-feedbacks for descriptor continuous-time linear systems with singular pencils

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Języki publikacji
EN
Abstrakty
EN
A new method is proposed of design of regular positive and asymptotically stable descriptor systems by the use of state-feedbacks for descriptor continuous-time linear systems with singular pencils. The method is based on the reduction of the descriptor system by elementary row and column operations to special form. A procedure for the design of the state-feedbacks gain matrix is presented and illustrated by a numerical example.
Słowa kluczowe
Rocznik
Strony
289--297
Opis fizyczny
Bibliogr. 15 poz., wzory
Twórcy
autor
  • Bialystok University of Technology, Faculty of Electrical Engineering, Wiejska 45D, 15-351 Bialystok, Poland
Bibliografia
  • [1] R. Bru, C. Coll, S. Romero-Vivo and E. Sanchez: Some problems about structural properties of positive descriptor systems. Positive systems, (Rome, 2003), Lecture Notes in Control and Inform. Sci., Springer, Berlin, 294 2003, 233-240.
  • [2] R. Bru, C. Coll and E. Sanchez: About positively discrete-time singular systems. System and Control: theory and applications, Electr. Comput. Eng. Ser., World Sci. Eng. Soc. Press, Athens, 2000, 44-48.
  • [3] R. Bru, C. Coll and E. Sanchez: Structural properties of positive linear timeinvariant difference-algebraic equations. Linear Algebra and its Applications, 349 (2002), 1-10.
  • [4] S. L. Campbell: Singular systems of differential equations. Research Notes in Mathematics, 40 Pitman (Advanced Publishing Program), Boston, Mass., 1980.
  • [5] S. L. Campbell, C. D. Meyer and N. J. Rose: Applications of the Drazin inverse to linear systems of differential equations with singular constructions. SIAMJ Appl. Math., 31(3), (1976), 411-425.
  • [6] C. Commalut and N. Marchand, eds.: Positive systems. Lecture Notes in Control and Inform. Sci., 341 Springer-Verlag, Berlin, 2006.
  • [7] L. Dai: Singular control systems. Lecture Notes in Control and Inform. Sci., 118 Springer-Verlag, Berlin, 1989.
  • [8] M. P. Drazin: Pseudo-inverses in associative rings and semigroups. Amer. Math. Monthly, 65 (1958), 506-514.
  • [9] L. Farina and S. Rinaldi: Positive Linear Systems; Theory and Applications. J. Wiley, New York, 2000.
  • [10] T. Kaczorek: Positive 1D and 2D Systems. Springer-Verlag, London, 2002.
  • [11] T. Kaczorek: Linear Control Systems. 1 Research Studies Press and J. Wiley, New York, 1992.
  • [12] T. Kaczorek: Selected Problems of Fractional System Theory. Springer-Verlag, Berlin, 2011.
  • [13] T. Kaczorek: Checking of the positivity of descriptor linear systems by the use of the shuffle algorithm. Archives of Control Sciences, 21(3), (2011), 287-298.
  • [14] T. Kaczorek: Checking of the positivity of descriptor linear systems with singular pencils. Archives of Control Sciences, 22(1), (2012), 77-86.
  • [15] E. Virnik: Stability analysis of positive descriptor systems. Linear Algebra and its Applications, 429 (2008), 2640-2659.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-4ed53a9c-d7ff-47fe-a4df-0eac112f4939
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