M. M. Kogan, A. V. Stepanov, “Design of generalized <nobr>$H_{\infty}$</nobr>-suboptimal controllers based on experimental and a priori data”, Avtomat. i Telemekh., 2024, Issue 1,Pages <nobr>3

This article is cited in 3 papers

Linear Systems

Design of generalized $H_{\infty}$-suboptimal controllers based on experimental and a priori data

M. M. Kogan^a, A. V. Stepanov^b

^a National Research Lobachevsky State University of Nizhny Novgorod
^b Nizhny Novgorod State University of Architecture and Civil Engineering

Abstract: This paper considers a linear continuous- or discrete-time dynamic object in the absence of its mathematical model. As is demonstrated below, a control law that suboptimally damps initial and (or) exogenous disturbances of such objects can be implemented based on experimental and a priori data. The approach involves the methods of robust control design and duality theory as well as the technique of linear matrix inequalities.

Keywords: generalized $H_{\infty}$ norm, uncertainty, robust control, experimental data, dual systems, linear matrix inequalities.

Presented by the member of Editorial Board: M. V. Khlebnikov

Received: 28.09.2023
Revised: 27.11.2023
Accepted: 21.12.2023

DOI: 10.31857/S0005231024010015