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JOURNALS // Upravlenie Bol'shimi Sistemami // Archive

UBS, 2011 Issue 33, Pages 35–69 (Mi ubs539)

Mathematical Control Theory

Control systems with identifier

A. L. Bunich

Institute of Control Sciences of RAS

Abstract: The paper overviews the literature on predictive model-based adaptive control systems with identifier (ASI) for discrete objects with parametric and nonparametric uncertainties. It focuses on the relationship between the spectral characteristics of external perturbations and maximum achievable control performance as well as identifier speed. A class of stationary external perturbations with the known spectrum localization is established with the solvable problem of synthesizing the systems of prescribed control precision subject to the criterion of minimum steady-state response variance. The sensitivity of the control system to variations of the spectral composition of disturbances is investigated.

Keywords: identifier, recursive estimation, predictive model, singular perturbation.

UDC: 62.50
BBK: 32.817



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© Steklov Math. Inst. of RAS, 2026