A cone complementarity linearization algorithm for static output-feedback and related problems. (English) Zbl 0887.93017

El Ghaoui, Laurent; Oustry, Francois; AitRami, Mustapha

IEEE Trans. Autom. Control 42, No. 8, 1171-1176 (1997).

The problem of reduced order dynamical feedback is considered. According to Anderson, this problem is decidable but not with clear complexity analysis. According to Doyle, a necessary and sufficient condition for its solution is given by some matrix inequalities. A linearization algorithm for solving these inequalities is presented and its convergence proved. Several numerical experiments for some large dimensions of the state space are presented.

Reviewer: A.Vaněček (Praha)

MSC:

93B50	Synthesis problems
93B40	Computational methods in systems theory (MSC2010)
93B11	System structure simplification
93D15	Stabilization of systems by feedback
15A39	Linear inequalities of matrices

Keywords:

output feedback; reduced order dynamical feedback; matrix inequalities; linearization algorithm

Software:

LMITOOL