P. A. Agafonov, V. N. Chestnov, “Controllers of a given radius of stability margin: their design by the <nobr>$H_{\infty}$</nobr>-approach with regard for external disturbances”, Avtomat. i Telemekh., 2004, Issue 10,Pages <nobr>101

This article is cited in 13 papers

Adaptive and Robust Systems

Controllers of a given radius of stability margin: their design by the $H_{\infty}$-approach with regard for external disturbances

P. A. Agafonov^a, V. N. Chestnov^b

^a Moscow State Institute of Steel and Alloys (Technological University)
^b Institute of Control Sciences, Russian Academy of Sciences

Abstract: Output controllers for multivariate linear systems are designed such that they ensure, besides a given radius of stability margin for the physical input or output of the controlled object, a given radius of steady state characterized by the operation accuracy of a closed-loop system for adjusted variables. This design problem is reduced to a special $H_{\infty}$-optimization problem and the result is purely of sufficient type. It is solved numerically in the state space by the linear matrix inequalities method of MATLAB.

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

Received: 09.12.2003