Synthesis of H-Infinity Controllersin a Finite Time Interval

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Abstract

The article considers a problem of stabilization of an aircraft, which can be solved by finding output control. Sufficient conditions for H-inf- output control for linear dynamic systems are obtained. Two approximate methods of closed-loop systems synthesis are proposed. The first one is based on finding a pseudo-inverse matrix of the linear measuring system model. The second one based on synthesizing an asymptotic observer, which allows to formulate an estimate of a state vector, giving a possibility of further use of the obtained estimate in the control law. The paper contains a step-by-step algorithm of finding an H-inf -control of a closed-loop system.

General Information

Keywords: linear regulator, H∞ − control, closed loop control, airplane stabilization, algorithm, software, finite time interval

Journal rubric: Control Theory

DOI: https://doi.org/10.17759/mda.2021110101

For citation: Panteleev A.V., Yakovleva A.A. Synthesis of H-Infinity Controllersin a Finite Time Interval. Modelirovanie i analiz dannikh = Modelling and Data Analysis, 2021. Vol. 11, no. 1, pp. 5–19. DOI: 10.17759/mda.2021110101. (In Russ., аbstr. in Engl.)

References

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Information About the Authors

Andrey V. Panteleev, Doctor of Physics and Matematics, Professor, Head of the Department of Mathematical Cybernetics, Institute of Information Technologies and Applied Mathematics, Moscow Aviation Institute (National Research University), Moscow, Russia, ORCID: https://orcid.org/0000-0003-2493-3617, e-mail: avpanteleev@inbox.ru

Aleksandra A. Yakovleva, Master Student, Moscow Aviation Institute, Moscow, Russia, e-mail: ayakovleva982@gmail.com

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