The static output feedback stabilization problem as a concave-convex programming problem

It is shown that the static output feedback stabilization problem for linear multi-input single-output (MISO) systems can be posed as a concave-convex programming problem. This allows the potential design of minimization algorithms yielding a stabilizing static output feedback gain, if it exists, or showing that the problem is not solvable at all.

[1]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

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

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

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

[5]  Alessandro Astolfi,et al.  A novel algorithm for the solution of the static output feedback stabilization problem , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

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

[7]  Alessandro Astolfi,et al.  An algebraic characterization of the static output feedback stabilization problem , 2001, Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148).

[8]  Alberto Isidori,et al.  Nonlinear control in the Year 2000 , 2001 .

[9]  Alessandro Astolfi,et al.  Static output feedback stabilization: from linear to nonlinear and back , 2001 .

[10]  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).

[11]  P. Dorato,et al.  Static output feedback: a survey , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.