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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">gyroscopy</journal-id><journal-title-group><journal-title xml:lang="ru">Гироскопия и навигация</journal-title><trans-title-group xml:lang="en"><trans-title>Giroskopiya i Navigatsiya</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">0869-7035</issn><issn pub-type="epub">2075-0927</issn><publisher><publisher-name>AO «Концерн «ЦНИИ «Электроприбор»</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17285/0869-7035.2015.23.4.131-146</article-id><article-id custom-type="elpub" pub-id-type="custom">gyroscopy-427</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>Статьи</subject></subj-group></article-categories><title-group><article-title>Модельное управление квадрокоптерами с поворотными роторами</article-title><trans-title-group xml:lang="en"><trans-title>Model Based Control of a Quadrotor with Tiltable Rotors</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Шольц</surname><given-names>Г.</given-names></name><name name-style="western" xml:lang="en"><surname>Scholz</surname><given-names>G.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Шольц Георг, научный сотрудник.</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Троммер</surname><given-names>Г. Ф.</given-names></name><name name-style="western" xml:lang="en"><surname>Trommer</surname><given-names>G. F.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Троммер Герт Ф., доктор наук, профессор.  Действительный член общественного объединения «Академия навигации и управления движением»</p></bio><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Институт оптимизации систем, г. Карлсруэ.</institution><country>Германия</country></aff><aff xml:lang="en"><institution>Institute of Systems Optimization, Karlsruhe</institution><country>Germany</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Институт оптимизации систем (г. Карлсруэ), Университет ИТМО (С-Петербург).</institution><country>Германия</country></aff><aff xml:lang="en"><institution>Institute of Systems Optimization, Karlsruhe; ITMO University, St. Petersburg</institution><country>Germany</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2015</year></pub-date><pub-date pub-type="epub"><day>23</day><month>12</month><year>2025</year></pub-date><volume>23</volume><issue>4</issue><fpage>131</fpage><lpage>146</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Шольц Г., Троммер Г.Ф., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Шольц Г., Троммер Г.Ф.</copyright-holder><copyright-holder xml:lang="en">Scholz G., Trommer G.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://www.gyroscopy.ru/jour/article/view/427">https://www.gyroscopy.ru/jour/article/view/427</self-uri><abstract><p>Рассматривается квадрокоптер с поворотными роторами, который обеспечивает независимое управление по углам ориентации и скорости, что позволяет не прибегать к установке дополнительного оборудования, необходимого для наведения на желаемую точку устанавливаемых на квадрокоптер камер или лазерных дальномеров. Описаны работа системы и предложенный алгоритм управления на основе метода нелинейной обратной динамики, функционально расширенного за счет псевдоуправления методом хеджирования, что снижает влияния динамики актуатора на контур управления. Предложенный метод внедрен в алгоритм управления, влияние которого на качество работы системы продемонстрировано результатами моделирования.</p></abstract><trans-abstract xml:lang="en"><p>Micro Aerial Vehicles (MAV) with vertical takeoff and landing capabilities such as quadrotors are often used as sensor platforms. The carried equipment like cameras or LASER range finders has to be aligned to some point of interest. In this article a modified type of a quadrotor will be presented: a quadrotor with tiltable rotors which in contrast to common quadrotors is able to perform independent velocity and attitude movements. This ability makes additional aligning equipment to move the payload redundant. After a system description, the used control algorithm based on Nonlinear Inverse Dynamics (NID) is explained. In this article an extension of this approach is presented. The pseudo control hedging method removes the influence of the actuator dynamics from the control loop. The extension and its integration into the control algorithm are explained and the influence on the quality of control is demonstrated by simulation results.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>Квадрокоптер</kwd><kwd>поворотный ротор</kwd><kwd>микролетательные аппараты.</kwd></kwd-group><kwd-group xml:lang="en"><kwd>Quadrotor</kwd><kwd>tiltable rotor</kwd><kwd>micro aerial vehicle.</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">K. Alexis, G. Nikolakopoulos, and A. Tzes. Model predictive quadrotor control: attitude, altitude and position experimental studies. 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