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2001 | 11 | 2 | 481-492
Tytuł artykułu

Separation principle for nonlinear systems: a bilinear approach

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper we investigate the local stabilizability of single-input nonlinear affine systems by means of an estimated state feedback law given by a bilinear observer. The associated bilinear approximating system is assumed to be observable for any input and stabilizable by a homogeneous feedback law of degree zero. Furthermore, we discuss the case of planar systems which admit bad inputs (i.e. the ones that make bilinear systems unobservable). A separation principle for such systems is given.
Słowa kluczowe
Rocznik
Tom
11
Numer
2
Strony
481-492
Opis fizyczny
Daty
wydano
2001
otrzymano
2000-07-15
poprawiono
2001-02-05
Twórcy
  • Faculty of Sciences of Sfax, Department of Mathematics, Route Soukra BP 802, 3018 Sfax Tunisia
autor
  • Faculty of Sciences of Sfax, Department of Mathematics, Route Soukra BP 802, 3018 Sfax Tunisia
Bibliografia
  • Baccioti A. and Boieri P. (1991): A characterization of single input planar bilinear systems which admit a smooth stabilizer. -Syst. Contr. Lett., Vol.16, pp.139-143.
  • Boothby W. and Marino R. (1989): Feedback stabilization of planar nonlinear systems. - Syst. Contr. Lett., Vol.12, pp.87-92.
  • Bornard G., Couenne N. and Celle F. (1989): Regularly persistent observers for bilinear systems. - Berlin: Springer, Contr. Inform. Sci., pp.130-140.
  • Chabour R. and Hammouri H. (1993): Stabilization of planar bilinear systems using an observer configuration. - Appl. Math. Lett., Vol.6, pp.7-10.
  • Chabour R., Sallet G. and Vivalda J.C. (1996): Stabilization of nonlinear two dimensional systems: A bilinear approach. -Math. Contr. Signal Syst., pp.224-246.
  • Chabour R. and Vivalda J.C. (1991): Stabilisation des systèmes bilineaires dans le plan par une commande non reguliere. - Proc. European Control Conference, ECC'91, Grenoble, France, pp.485-487.
  • Dayawansa W.P., Martin C.F. and Knowles G. (1990): Asymptotic stabilization of a class smooth two-dimensional systems. - SIAM J. Contr. Optim., Vol.28, pp.1321-1349.
  • Gauthier J.P. and Kupka I. (1992): A separation principle for bilinear systems with dissipative drift. - IEEE Trans. Automat. Contr., Vol. AC-37, No.12, pp.1970-1974.
  • Hahn W. (1967) Stability of Motion. -Berlin: Springer.
  • Hammami M.A. (1993): Stabilization of a class of nonlinear systems using an observer design. - Proc. 32nd IEEE Conf. Decision and Control, San Antonio, Texas, Vol.3, pp.1954-1959.
  • Hammami M.A. and Jerbi H. (1994): On the stabilization of homogeneous cubic vector fields in the plane. - Appl. Math. Lett., Vol.7, No.4,pp.95-99.
  • Jerbi H. (1994): Quelques resultats sur la stabilization des systèmes non lineaires par estimation et retour d'etat. -Ph.D. Thesis, University of Metz, France.
  • Massera J.L. (1956): Contribution to stability theory. -Annals of Mathematics, Vol.64, pp.182-206.
  • Seibert P. and Suarez R. (1990): Global stabilization of nonlinear cascade systems. - Syst. Contr. Lett., Vol.14, pp.347-352.
  • Vidyasagar M. (1980): On the stabilization of nonlinear systems using state detection. - IEEE Trans. Automat. Contr., Vol.AC-25, pp.504-509.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-amcv11i2p481bwm
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