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

• Autorzy: Tokarzewski J.
• 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.

Słowa kluczowe

EN

linear multivariable systems; state-space methods; output-zeroing problem; invariant zeros

PL

wielowymiarowy układ liniowy; metoda przestrzeni stanu; zera niezmienne

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2002
• Tom: Vol. 12, no 2
• Strony: 161--171
• Opis fizyczny: Bibliogr. 14 poz.

Twórcy

autor

Tokarzewski J.

• Military University of Technology, ul. Kaliskiego 2, 00-908 Warsaw, Poland

Bibliografia

• [1] Chen C.T. (1984): Linear System Theory and Design. - New York: Holt-Rinehart-Winston.
• [2] 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.
• [3] Emami-Naeini A. and Van Dooren P. (1982): Computation of zeros of linear multivariable systems. - Automatica, Vol. 18, No. 4, pp. 415-430.
• [4] Gantmacher F.R. (1988): Theory of Matrices. - Moscow: Nauka (in Russian).
• [5] Isidori A. (1995): Nonlinear Control Systems. - London: Springer.
• [6] 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.
• [7] Latawiec K., Banka S. and Tokarzewski J. (2000): Control zeros and nonminimum phase LTI MIMO systems. - Ann. Rev. Contr., Vol. 24, pp. 105-112.
• [8] 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.
• [9] Rosenbrock H.H. (1970): State Space and Multivariable Theory. - London: Nelson.
• [10] Sontag E.D. (1990): Mathematical Control Theory. - New York: Springer.
• [11] Schrader C.B. and Sain M.K. (1989): Research on system zeros: A survey. - Int. J. Contr., Vol. 50, No. 4, pp. 1407-1433.
• [12] 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.
• [13] 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.
• [14] Tokarzewski J. (2000b): A note on dynamical interpretation of invariant zeros in MIMO LTI systems and algebraic criterions of degeneracy. - Proc. Int. Symp. Mathematical Theory of Networks and Systems, MTNS’2000, Perpignan, France, (on CD-ROM).