B. P. Lampe, E. N. Rosenwasser, “<nobr>$L_2$</nobr>-optimization and fixed poles for sampled-data systems with generalized hold”, Avtomat. i Telemekh., 2014, Issue 1,Pages <nobr>42

Linear Systems

$L_2$-optimization and fixed poles for sampled-data systems with generalized hold

B. P. Lampe^a, E. N. Rosenwasser^b

^a University of Rostock, Rostock, Germany
^b State Marine Technical University, St. Petersburg, Russia

Abstract: This paper considers the $L_2$-optimization problem for a standard sampled-data system with generalized hold of an arbitrary order. The original problem is reduced to the minimization problem of a degenerate quadratic functional, where solution appears nonunique. And finally, the authors propose a polynomial procedure for constructing a set of optimal discrete causal controllers and establish some relevant properties of $L_2$-optimal systems in the context of applications.

Presented by the member of Editorial Board: A. P. Kurdyukov

Received: 17.11.2011