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Tytuł artykułu

Stabilization of multivariable linear time-invariant systems by proportional-plus-derivative state feedback

Treść / Zawartość
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
This paper is devoted to the study of the problem of stabilization by proportional-plus-derivative state feedback for multivariable linear time-invariant systems. In particular, explicit necessary and sufficient conditions are established for the stability of a closed-loop system obtained by proportional-plus-derivative state feedback from the given multivariable linear time-invariant system. A procedure is given for the computation of stabilizing proportional- plus-derivative state feedback. Our approach is based on properties of real and polynomial matrices.
Rocznik
Strony
53--77
Opis fizyczny
Bibliogr. 26 poz.
Twórcy
  • Hellenic Air Force Academy, Department of Aeronautical Sciences, Division of Automatic Control, Dekelia Air Base PC 13671, Acharnes, Attikis, Tatoi, Greece
Bibliografia
  • ABDELAZIZ, T. H. S. (2015) Pole placement for single input linear system by proportional-derivative state feedback. ASME J. Dynamic Systems, Meas. & Control, 137 (4), 041015-1-041015-10.
  • ABDELAZIZ, T. H. S. and VALASEK, M. (2005) Eigenstructure assignment by proportional-plus-derivative feedback for second – order linear control systems. Kybernetika, 41 (5), 661-676.
  • ABDELAZIZ, T. H. S. (2017) Pole assignment of multivariable systems using proportional-derivative state feedback. International Journal of Systems and Sciences. 48 (33), 2871-2886.
  • ANTSAKLIS, P. J. and MICHEL, A. (2006) Linear Systems. Birkhauser, Boston.
  • CHU, E. K. and DATTA, B. N. (2006) Numerically robust pole assignment for second-order systems. International Journal of Control. 64 (4), 1113-1127.
  • CHU, E. K. (2002) Pole assignment for second-order systems. Mechanical Systems and Signal Processing, 16 (1), 39-59.
  • CHU, D. and MALABRE, M. (2002) Numerically reliable design for proportional and derivative state-feedback decoupling controller. Automatica 38 (1), 2121–2125.
  • DUAN, G. R. and WANG, G. S. (2004) P-D feedback eigenstructure assignment with minimum control effort in second order systems.In: IEEE International Symposium on Computer Aided Control Systems Design, Taipei, Taiwan. 2-4.
  • DUAN, G. R. and WANG, G. S. (2005) Reconfiguring second-order dynamic systems via P-D feedback eigenstructure assignment: A parametric method. International Journal of Control Automation, and Systems. 3 (1), 109-116.
  • DUAN, G. R. and LIU, G. P. (2003) Complete parametric approach for eigenstructure assignment in a class of second order systems. Automatica 38 (3), 725-729.
  • HARALDSDOTTIR, A., KABAMBA, P.T. and ULSOY, A.G. (1990) Control of linear systems by output plus derivative feedback. Journal of Dynamic Systems Measurement and Control 112 (1), 27-34.
  • HENRION, D., SEBEK, M. and KUCERA, V. (2005) Robust pole placement for second-order systems: an LMI approach. Kybernetika 41 (1), 1-14.
  • KALMAN, R. E. (1963) Mathematical description of linear dynamical systems. SIAM Journal of Control and Optimization 1 (2), 152-192.
  • KIRITSIS, K. H. (2022) Pole assignment by proportional-plus-derivative state feedback for multivariable linear time-invariant system. WSEAS Transactions on Systems and Control 17, 262-268.
  • KUCERA, V. (1991) Analysis and Design of Linear Control Systems. Prentice Hall, London.
  • PUGH, A. C. and RATCLIFFE, P. A. (1979) On the zeros and poles of a rational matrix. International Journal of Control 30 (2), 213-226.
  • ROSENBROCK, H. H. (1970) State-space and Multivariable Systems. Nelson, London.
  • ROSENBROCK, H. H. (1973) On the zeros of the system. International Journal of Control 18 (2), 195-207.
  • ROSENBROCK, H. H. (1974) Structural properties of linear dynamical systems. International Journal of Control 20 (2), 191-202.
  • SERAJI, H. and TAROKH, M. (1977) Design of proportional-plus-derivative output feedback for pole assignment. Proceedings IEE 124 (8), 729-732.
  • SERAJI, H. (1980) Pole placement in multivariable systems using proportional plus derivative output feedback. International Journal of Control 31 (1), 195-207.
  • TAROKH, M. and SERAJI, H. (1977) Proportional –plus-multiple derivative output feedback: A new multivariable controller for pole placement. International Journal of Control 25 (2), 293-302.
  • TREDELMAN, H. L., STOORVOGEL, A. A. and HAUTUS, M. (2001) Control Theory for Linear Systems. Springer-Verlag, London.
  • WANG, G. S., QIANG, L. V. and DUAN, G. R. (2006) Eigenstructure assignment in a class of second order systems. Journal of Control Theory and Applications 4 (3), 302-308.
  • WOLOWICH, W. A. (1974) Linear Multivariable Systems. Springer Verlag, Berlin, New York.
  • WONHAM, W. M. (1967) On Pole assignment in multi-input controllable linear systems. IEEE Trans. Automat. Control 12 (6), 660-665.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-e26dc977-3e7d-4c14-8ab8-80c114ca28de
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