B. T. Polyak, M. V. Khlebnikov, P. S. Shcherbakov, “Linear matrix inequalities in control systems with uncertainty”, Avtomat. i Telemekh., 2021, Issue 1,Pages <nobr>3

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Surveys

Linear matrix inequalities in control systems with uncertainty

B. T. Polyak, M. V. Khlebnikov, P. S. Shcherbakov

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, 117997 Russia

Abstract: The survey deals with the application of linear matrix inequalities to taking into account possible uncertainties (in the system description, exogenous disturbances, and the initial conditions) in the control analysis and synthesis for linear systems.

Keywords: control system, stability, exogenous disturbance, robustness, peak, synthesis, linear matrix inequality, quadratic Lyapunov function, invariant ellipsoid, sparsity.

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

Received: 30.07.2020
Revised: 08.09.2020
Accepted: 10.09.2020

DOI: 10.31857/S0005231021010013