MATEC Web of Conferences
Volume 362, 2022XXII International Conference on Computational Mechanics and Modern Applied Software Systems (CMMASS 2021)
|Number of page(s)||9|
|Published online||14 September 2022|
Approximate methods of H-infinity control of nonlinear dynamic systems output
Moscow Aviation Institute (National Research University), 4, Volokolamskoe shosse, Moscow, 125993, Russia
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The problem of finding H∞-regulators in the output control problem is considered. Two approaches for approximate synthesis of the closed loop systems are proposed. The paper considers the problem of finding the H-infinity control of a nonlinear continuous dynamical system output. The system is linear in control and perturbation, with a finite time of the system operation. Methods for finding H-infinity control are used to solve problems of synthesis of controllers, particularly for solving the problem of synthesis of controllers in conditions of incomplete state information. In such problems, it is difficult to find the structure of the regulator and its parameters. Sufficient H∞-control conditions are formulated and proved. Two approximate methods for finding the H-infinity controller of closed loop nonlinear continuous systems were proposed. To illustrate the application of the methods, the problem of stabilization of the ZD559-Lynx helicopter, whose flight takes place during the imposed time period of the system operation, was considered.
© The Authors, published by EDP Sciences, 2022
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0 (http://creativecommons.org/licenses/by/4.0/).
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