This article is cited in 1 paper

Nonlinear Systems

Output stabilization of Lurie-type nonlinear systems in a given set

B. H. Nguyen<sup>ab

a</sup> St. Petersburg National Research University of Information Technologies, Mechanics and Optics
^b Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, St. Petersburg

Abstract: This paper considers the problem of stabilizing the output variables of a Lurie-type nonlinear system in a given set at any time instant. A special output transformation is used to reduce the original constrained problem to that of analyzing the input-to-state stability of a new extended system without constraints. For this system, nonlinear control laws are obtained using the technique of linear matrix inequalities. Examples are given to illustrate the effectiveness of the method proposed and confirm the theoretical conclusions.

Keywords: Lurie-type nonlinear system, stabilization, nonlinear control, coordinate transformation, stability, linear matrix inequalities.

Presented by the member of Editorial Board: L. B. Rapoport

Received: 18.03.2023
Revised: 10.10.2023
Accepted: 21.12.2023

DOI: 10.31857/S0005231024010049

 English version: Automation and Remote Control, 2024, 85:1, 33–45