A hamilton-jacobi setup for the static output feedback stabilization of nonlinear systems

The (local) static output feedback stabilization problem for a class of nonlinear (affine) systems is discussed. A sufficient condition is es- tablished and a (partial) converse is worked out. This condition provides a counterpart to a well-known result of linear systems theory. The effective- ness of the developed theory is illustrated with a simple example.

[1]  G. Gu.  Stabilizability conditions of multivariable uncertain systems via output feedback control , 1990 .

[2]  Alessandro Astolfi,et al.  Robust output feedback stabilization of the angular velocity of a rigid body , 1999 .

[3]  Alessandro Astolfi,et al.  Static output feedback stabilization of linear and nonlinear systems , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[4]  Robert E. Skelton,et al.  Static output feedback controllers: stability and convexity , 1998, IEEE Trans. Autom. Control..

[5]  Marco Lovera,et al.  Global spacecraft attitude control using magnetic actuators , 2002, Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301).

[6]  A. Isidori,et al.  Asymptotic stabilization of minimum phase nonlinear systems , 1991 .

[7]  A. Isidori,et al.  Passivity, feedback equivalence, and the global stabilization of minimum phase nonlinear systems , 1991 .

[8]  Chaouki T. Abdallah,et al.  Static output feedback: a survey , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[9]  Carlos E. de Souza,et al.  A necessary and sufficient condition for output feedback stabilizability , 1995, Autom..

[10]  James Lam,et al.  Static Output Feedback Stabilization: An ILMI Approach , 1998, Autom..

[11]  D. Prato,et al.  The angular velocity of a rigid body , 1982 .

[12]  L. Ghaoui,et al.  A cone complementarity linearization algorithm for static output-feedback and related problems , 1997, IEEE Trans. Autom. Control..