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Modelling and Data Analysis
2021. Vol. 11, no. 1, 5–19
https://doi.org/10.17759/mda.2021110101
ISSN: 2219-3758 / 2311-9454 (online)

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

OpenAlex citations: 1

OpenAlex trends: Aerospace Engineering and Control Systems, Advanced Control and Stabilization in Aerospace Systems, Stability and Control of Uncertain Systems

Information about the work in OpenAlex

Number of citations: 1

Topics

Aerospace Engineering and Control Systems

This cluster of papers focuses on the development and optimization of autonomous aerial refueling systems for Unmanned Aerial Vehicles (UAVs). It covers topics such as vision-based sensor integration, trajectory tracking controllers, aircraft modeling and simulation, machine vision/GPS integration, flight control, aerodynamic coupling, and UAV technology.

Number of works: 36093  |  Total number of citations: 203242

Topic detailsв OpenAlex

Advanced Control and Stabilization in Aerospace Systems

This cluster of papers focuses on the concepts, principles, and applications of inertially stabilized platform technology. It covers topics such as control systems for stabilization, gimbal systems, line-of-sight stabilization, disturbance rejection, MEMS sensors, robust control, navigation aids, UAV operation, and signal processing in the context of airborne imaging and remote sensing systems.

Number of works: 8510  |  Total number of citations: 23435

Topic detailsв OpenAlex

Stability and Control of Uncertain Systems

This cluster of papers focuses on the modeling, optimization, and control of networked control systems, covering topics such as stability analysis, event-triggered control, time-delay systems, robust control, switched systems, H8 control, fuzzy control, distributed control, and communication constraints.

Number of works: 77866  |  Total number of citations: 1295277

Topic detailsв OpenAlex

Work details in OpenAlex

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

Published

For citation: Panteleev, A.V., Yakovleva, A.A. (2021). Synthesis of H-Infinity Controllersin a Finite Time Interval. Modelling and Data Analysis, 11(1), 5–19. (In Russ.). https://doi.org/10.17759/mda.2021110101

© Panteleev A.V., Yakovleva A.A., 2021

License: CC BY-NC 4.0

References

  1. Koobloch H.W., Isidori A., Flockerzi D. Topics in control theory // DMV-Seminar; Bd. 22, Basel; Springer, 1993.
  2. Doyle J., Francis B., Tannenbaum A. Feedback Control Theory // Macmillan Publishing Co, 1990.
  3. Skogestad S., Postlethwaite I. Multivariable Feedback Control: Analysis and Design // John Wiley and sons, 2005.
  4. Polyak B.T., Scherbakov P.S. Robastnaya ustojchivost’ i upravlenie [Robust stability and control]. Moscow: Nauka Publ., 2002.
  5. Panteleev A.V. and Yakovleva A.A. Approximate methods for H-infinity output feedback control. IOP Conf. Ser. Vol.927(1), 2020.
  6. Green M., Limebeer D.J.N. Linear Robast Control // Dover Publications, 2012.
  7. Panteleev A.V., Yakovleva A.A. An Airplane Stabilization Control by H-Inf Approach // «2020 International Multi-Conference on Industrial Engineering and Modern Technologies (FarEastCon)» DOI: 10.1109/FarEastCon50210.2020.9271615
  8. Gadewadikar J., Lewis F.L., Abu-Khalaf M. Necessary and Sufficient Conditions for H-infinity Static Output-Feedback Control // Journal of Guidance, Control and Dynamics. Vol.29, No. 4, 2006.

Information About the Authors

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

Aleksandra A. Yakovleva, Postgraduate Student, Moscow Aviation Institute, Moscow, Russian Federation, ORCID: https://orcid.org/0000-0002-1544-9105, e-mail: ayakovleva982@gmail.com

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