V. N. Chestnov, “Synthesis of discrete <nobr>$H_\infty$</nobr>-controllers with given stability margin radius and settling time”, Avtomat. i Telemekh., 2014, Issue 9,Pages <nobr>65

This article is cited in 10 papers

Robust and Adaptive Systems

Synthesis of discrete $H_\infty$-controllers with given stability margin radius and settling time

V. N. Chestnov

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

Abstract: For linear multivariable systems, we construct discrete output controllers that guarantee a given stability margin radius on the input or output of a control plant. Besides, given control time is also taken into account. We show that solving such problems reduces to a certain specially constructed standard$H_\infty$-optimization problem. A numerical solution has been implemented in MATLAB with the Robust Control Toolbox suite based on the method of linear matrix inequalities (LMI).

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

Received: 23.02.2013