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2002 | 12 | 2 | 161-171
Tytuł artykułu

A general solution to the output-zeroing problem for MIMO LTI systems

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The problem of zeroing the output in an arbitrary linear continuous-time system S(A,B,C,D) with a nonvanishing transfer function is discussed and necessary conditions for output-zeroing inputs are formulated. All possible real-valued inputs and real initial conditions which produce the identically zero system response are characterized. Strictly proper and proper systems are discussed separately.
Rocznik
Tom
12
Numer
2
Strony
161-171
Opis fizyczny
Daty
wydano
2002
otrzymano
2000-10-16
poprawiono
2001-08-07
Twórcy
  • Military University of Technology, ul. Kaliskiego 2, 00-908 Warsaw, Poland
Bibliografia
  • Chen C.T. (1984): Linear System Theory and Design. - New York: Holt-Rinehart-Winston.
  • El-Ghezawi O., Zinober A., Owens D.H. and Billings S.A. (1982): Computation of the zeros and zero directions of linear multivariable systems. - Int. J. Contr., Vol. 36, No. 5, pp. 833-843.
  • Emami-Naeini A. and Van Dooren P. (1982): Computation of zeros of linear multivariable systems. - Automatica, Vol. 18, No. 4, pp. 415-430.
  • Gantmacher F.R. (1988): Theory of Matrices. - Moscow: Nauka (in Russian).
  • Isidori A. (1995): Nonlinear Control Systems. - London: Springer.
  • Karcanias N. and Kouvaritakis B. (1979): The output-zeroing problem and its relationship to the invariant zero structure. - Int. J. Contr., Vol. 30, No. 3, pp. 395-415.
  • Latawiec K., Banka S. and Tokarzewski J. (2000): Control zeros and nonminimum phase LTI MIMO systems. - Ann. Rev. Contr., Vol. 24, pp. 105-112.
  • MacFarlane A.G.J. and Karcanias N. (1976): Poles and zeros of linear multivariable systems: A survey of the algebraic, geometric and complex variable theory. - Int. J. Contr., Vol. 24, No. 1, pp. 33-74.
  • Rosenbrock H.H. (1970): State Space and Multivariable Theory. - London: Nelson
  • Sontag E.D. (1990): Mathematical Control Theory. - New York: Springer.
  • Schrader C.B. and Sain M.K. (1989): Research on system zeros: A survey. - Int. J. Contr., Vol. 50, No. 4, pp. 1407-1433.
  • Tokarzewski J. (1998): System zeros analysis via the Moore-Penrose pseudoinverse and SVD of the first nonzero Markov parameter. - IEEE Trans. Automat. Contr., Vol. AC-43, No. 9, pp. 1285-1291.
  • Tokarzewski J. (2000a): A note on a general solution of the output - zeroing problem for MIMO LTI systems. - Proc. 6-th Int. Conf. Methods and Models in Automation and Robotics, MMAR'2000, Międzyzdroje, Poland, Vol. I, pp. 243-248.
  • Tokarzewski J. (2000b): A note on dynamical interpretation of invariant zeros in MIMO LTI systemsand algebraic criterions of degeneracy. - Proc. Int. Symp. Mathematical Theory of Networks and Systems, MTNS'2000, Perpignan, France, (on CD-ROM).
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-amcv12i2p161bwm
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