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Analytical criteria of static output feedback problem feasibility for second-order systems

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Necessary and sufficient conditions of feasibility of second-order linear matrix inequality systems reducible to two or three scalar quadratic inequalities are presented. These conditions are applied to the problem of static output feedback-based stabilization of a second-order system to obtain two feasibility criteria. The first one is based on the general theorems; the second one is tailored specifically for this problem and is easier to use.
Czasopismo
Rocznik
Strony
39--45
Opis fizyczny
Bibliogr. 10 poz., wykr.
Twórcy
autor
autor
  • Arzamas Polytechnical Institute of R.E. Alekseev, Nizhny Novogrod State Technical University, Kalinina str., 19, 607227 Arzamas, Russia, pakshin@afngtu.nnov.ru
Bibliografia
  • [1] Boyd S., El Ghaoui L., Feron E., Balakrishnan V., Linear Matrix Inequalities in Control and System Theory, SIAM, Philadelphia, 1994.
  • [2] Pakshin P.V., Robust Stability and Stabilization of the Family of Jumping Stochastic Systems, Nonlinear Analysis, Theory, Methods and Applications, Vol. 30, 1997, pp. 2855-2866.
  • [3] Kamenetskii V.A., Pyatnitskii YE.S., An Iterative Method of Lyapunov Function Construction for Differential Inclusion, Syst. Control Lett., Vol. 8, 1987, pp. 445-451.
  • [4] Ooba T., Funahashi Y., Two Conditions Concerning Common Quadratic Lyaptinov Functions for Linear Systems, IEEE Trans. Automat. Control, Vol. 42, No. 5, 1997, pp. 719-721.
  • [5] Ooba T., Funahashi Y., On a Common Quadratic Lyapunov Function for Widely Distant Systems, IEEE Trans. Automat. Control, Vol. 42, No. 12, 1997, pp. 1697-1699.
  • [6] Shorten R.N., Narendra K.., Necessary and Sufficient Conditions or the Existence of a Common Quadratic Lyapunov Function for a Finite Number of Stable Second Order Linear Time-Invariant Systems, Int. J. Adaptive Control Signal Processing, Vol. 16, 2002, pp. 709-728.
  • [7] Shorten R.N., Narendra K.S., Mason O., A Result on Common Quadratic Lyapunov Functions, IEEE Trans. Automat. Control, Vol. 48, No. 1, 2003, pp. 110-113.
  • [8] Shorten R.N., Mason O., O’Cairbre F., Curran P., A Unifying Framework for the Circle Criterion and Other Quadratic Stability Criteria, Proceedings of the European Control Conference, Cambridge, UK, 2003, pp. 1-6.
  • [9] Pakshin P.V., Pozdyaev V.V., Solvability Conditions for a Second-Order System of Linear Matrix Inequalities, Journal of Computer and Systems Sciences International, Vol. 45, No. 5, 2006, pp. 681-689.
  • [10] Syrmos V.L., Abdallah C.T., Dorato P., Grigoriadis K., Static Output Feedback - A Survey, Automatics, Vol. 33, No. 2, 1997, pp. 125-117.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0042-0024
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