Ky. Zhao et J. Stoustrup, COMPUTATION OF THE MAXIMAL ROBUST H-2 PERFORMANCE RADIUS FOR UNCERTAIN DISCRETE-TIME-SYSTEMS WITH NONLINEAR PARAMETRIC UNCERTAINTIES, International Journal of Control, 67(1), 1997, pp. 33-43
Citations number
16
Categorie Soggetti
Controlo Theory & Cybernetics","Robotics & Automatic Control
In this paper we address the problems of robust stability and robust H
-2 performance for uncertain discrete time systems with nonlinear para
metric uncertainties. We consider two families of systems with paramet
ric uncertainties described by state-space models which offer a fairly
general representation of most uncertain systems with one or two para
meters (the approach can be extended to more parameters). For these tw
o families we obtain explicit expressions for the Schur stability radi
us and for the H-2 robust performance radius in the case of uncertaint
ies with a single parameter. Moreover, we provide a line search algori
thm for these two problems in the case of two parameters. Both for the
robust stability and the robust performance problem, explicit necessa
ry and sufficient conditions are derived.