M. M. Kogan, A. V. Stepanov, “Optimal absolute stabilization of unknown Lurie systems based on experimental data and a priori information”, Avtomat. i Telemekh., 2025, Issue 2,Pages <nobr>3

Nonlinear Systems

Optimal absolute stabilization of unknown Lurie systems based on experimental data and a priori information

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

^a Sirius University of Science and Technology, Sochi, Russia
^b Nizhny Novgorod State University of Architecture and Civil Engineering, Nizhny Novgorod, Russia

Abstract: In the paper, synthesis of optimal absolute stabilizing control for unknown Lurie systems is developed, by using experimental and prior data. The technique roots a minimax approach with maximization of integral performance index over an intersection of two matrix ellipsoids determining by experimental and prior data. Mathematical simulations of nonlinear oscillator illustrate advantages the obtained control law over the robust control based on prior data.

Keywords: Lurie systems, uncertainty, robust control, experimental data, linear matrix inequalities.

Presented by the member of Editorial Board: N. Kuznetsov

Received: 18.01.2024
Revised: 20.08.2024
Accepted: 26.11.2024

DOI: 10.31857/S0005231025020014