An Algorithm to Control Nonlinear Systems in Perturbations and Measurement Noise

Affiliation:
Institute of Problems of Mechanical Engineering, RAS
Saint Petersburg State University of Information Technologies, Mechanics and Optics
Address: St. Petersburg

Journal name

Avtomatika i Telemekhanika

Edition

Issue 7

Pages

41-58

Abstract

An algorithm was proposed to stabilize nonlinear systems with reduced level of impact of the measurement noise, parametric uncertainty, and external perturbation. Consideration was given to the noise of the measurements of dimensionality coinciding with that of the plant state vector. The parametric uncertainty and external perturbations can occur in any equation of the plant model. Conditions were obtained to calculate algorithm parameters in the form of solvability of the linear matrix inequality. Efficiency of the proposed scheme was illustrated by numerical examples.

Keywords

Nonlinear system, compensation, perturbation, interference, S-procedure, linear matrix inequality

Received

28.09.2018

Publication date

29.09.2018

Number of characters

537

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GOST	Furtat I. An Algorithm to Control Nonlinear Systems in Perturbations and Measurement Noise // Avtomatika i Telemekhanika – 2018. – Issue 7 C. 41-58 [Electronic resource]. URL: http://ras.jes.su/ait/s000523100000266-6-1-en (circulation date: 18.03.2025). DOI: 10.31857/S000523100000266-6
MLA	Furtat, Igor "An Algorithm to Control Nonlinear Systems in Perturbations and Measurement Noise." Avtomatika i Telemekhanika 7 (2018):41-58. DOI: 10.31857/S000523100000266-6
APA	Furtat I. (2018). An Algorithm to Control Nonlinear Systems in Perturbations and Measurement Noise. Avtomatika i Telemekhanika (7), pp.41-58 DOI: 10.31857/S000523100000266-6

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