PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

Feedback control for discrete descriptor systems

Autorzy
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The control in the feedback form and the optimal cost are obtained for four linear-quadratic control problems by discrete descriptor systems in a Hilbert space. Special solutions of the implicit operator Riccati equations used here act in all state space and in general case they are not nonnegative definite, unlike the operators in the subspace and the nonnegative definite solutions. The examples show that the operator Riccati equations considered have no nonnegative definite solutions though the corresponding optimal control problems have the unique solutions.
Czasopismo
Rocznik
Strony
29--40
Opis fizyczny
Bibliogr. 11 poz.
Twórcy
autor
  • Voronezh State Forestry Academy, ul. Timirjazeva, 8, Voronezh, 394613, Russia
Bibliografia
  • [1] LEWIS F. L., A survey of linear singular systems, Circuits, Systems, and Signal Processing, Vo| 5 No. 1, 1986, 3-36.
  • [2] KURINA G. A., Singular perturbations of control problems with state equation unresolved with re. spect to derivative. Survey, Izvestija RAN, Tehnicheskaja kibemetika, No. 4, 1992, 20-48 (in RUs. si an).
  • [3] BENDER D. J., LAUB A. J., The linear-quadratic optimal regulator for descriptor systems: discrete- time case, Automatica, Vol. 23, No. 1, 1987, 71-85.
  • [4] KIMURA M., On the matrix Riccati equation for a singularly perturbed linear discrete control system, Int. J. Control, Vol. 38, No. 5, 1983, 959-975.
  • [5] NAIDU D. S., RAO A. K., Singular perturbation analysis of discrete control systems, [in:] A. Dold and B. Eckmann (eds.), Lecture Notes in Mathematics, Springer-Verlag, Vol. 1154, Berlin 1985, L 195.
  • [6] MEHRMANN V. L., The autonomous linear quadratic control problem. Theory and numerical solution, [in:] M. Thoma and A. Wyner (eds.), Lecture Notes in Control and Information Sciences, Vol. 163, Springer-verlag, Berlin 1991, 1-177.
  • [7] MANTAS G. P., KRIKELIS N. J., Linear quadratic optimal control for discrete descriptor systems, J. Optimization Theory and Applications, Vol. 61, No. 2, 1989, 221-241.
  • [8] KURINA G. A., On sufficient control optimality conditions for discrete descriptor systems, Avto- matika i telemehanika, No. 8, 1993, 52-55, (in Russian).
  • [9] KURINA G., Linear-quadratic optimal control problems for discrete descriptor systems, 1st IFAC/IEEE Symposium on System Structure and Control. Program and Abstracts, 29-31 August, 2001, Czech Technical University in Prague, Prague, Czech Republic, P.A-126.
  • [10] KURINA G., Linear-quadratic optimal control problems for discrete descriptor systems, 1st IFAC/IEEE Symposium on System Structure and Control, Preprints, Prague 2001, 6p.
  • [11] KURINA G., Feed-back control for time-varying descriptor systems, Systems Science, Vol. 26, No. 3, 2000, 47-59.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPW4-0002-0064
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.