This article is cited in 6 papers

Linear Systems

Design of suboptimal robust controllers based on a priori and experimental data

M. M. Kogan, A. V. Stepanov

Nizhny Novgorod State University of Architecture and Civil Engineering, Nizhny Novgorod, Russia

Abstract: This paper develops a novel unified approach to designing suboptimal robust control laws for uncertain objects with different criteria based on a priori information and experimental data. The guaranteed estimates of the $\gamma_{0}$, generalized $H_{2}$, and $H_{\infty}$ norms of a closed loop system and the corresponding suboptimal robust control laws are expressed in terms of solutions of linear matrix inequalities considering a priori knowledge and object modeling data. A numerical example demonstrates the improved quality of control systems when a priori and experimental data are used together.

Keywords: robust control, a priori data, experimental data, $\gamma_{0}$ norm, generalized $H_{2}$ norm, $H_\infty$ norm, linear matrix inequalities.


Received: 21.03.2023
Revised: 02.05.2023
Accepted: 09.06.2023

DOI: 10.31857/S0005231023080020

 English version: Automation and Remote Control, 2023, 84:8, 814–826