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 <front>
  <journal-meta>
   <journal-id journal-id-type="publisher-id">Intellectual Technologies on Transport</journal-id>
   <journal-title-group>
    <journal-title xml:lang="en">Intellectual Technologies on Transport</journal-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Интеллектуальные технологии на транспорте</trans-title>
    </trans-title-group>
   </journal-title-group>
   <issn publication-format="online">2413-2527</issn>
  </journal-meta>
  <article-meta>
   <article-id pub-id-type="publisher-id">94973</article-id>
   <article-id pub-id-type="doi">10.20295/2413-2527-2025-141-27-36</article-id>
   <article-id pub-id-type="edn">pgsmcj</article-id>
   <article-categories>
    <subj-group subj-group-type="toc-heading" xml:lang="ru">
     <subject>МАТЕМАТИЧЕСКОЕ МОДЕЛИРОВАНИЕ И СИСТЕМНЫЙ АНАЛИЗ</subject>
    </subj-group>
    <subj-group subj-group-type="toc-heading" xml:lang="en">
     <subject>MATHEMATICAL MODELLING AND SYSTEM ANALYSIS</subject>
    </subj-group>
    <subj-group>
     <subject>МАТЕМАТИЧЕСКОЕ МОДЕЛИРОВАНИЕ И СИСТЕМНЫЙ АНАЛИЗ</subject>
    </subj-group>
   </article-categories>
   <title-group>
    <article-title xml:lang="en">Comparative Analysis of Precise Positioning Methods for Unmanned Aerial Vehicles</article-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Сравнительный анализ методов точного позиционирования беспилотных летательных аппаратов</trans-title>
    </trans-title-group>
   </title-group>
   <contrib-group content-type="authors">
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Липанов</surname>
       <given-names>Илья Дмитриевич</given-names>
      </name>
      <name xml:lang="en">
       <surname>Lipanov</surname>
       <given-names>Ilya Dmitrievich</given-names>
      </name>
     </name-alternatives>
     <email>illipanov@mail.ru</email>
     <xref ref-type="aff" rid="aff-1"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Хомоненко</surname>
       <given-names>Анатолий Дмитриевич</given-names>
      </name>
      <name xml:lang="en">
       <surname>Khomonenko</surname>
       <given-names>Anatoly Dmitrievich</given-names>
      </name>
     </name-alternatives>
     <email>khomon@mail.ru</email>
     <bio xml:lang="ru">
      <p>доктор технических наук;</p>
     </bio>
     <bio xml:lang="en">
      <p>doctor of technical sciences;</p>
     </bio>
     <xref ref-type="aff" rid="aff-2"/>
     <xref ref-type="aff" rid="aff-3"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Молодкин</surname>
       <given-names>Игорь Андреевич</given-names>
      </name>
      <name xml:lang="en">
       <surname>Molodkin</surname>
       <given-names>Igor Andreevich</given-names>
      </name>
     </name-alternatives>
     <email>molodkin@pgups.ru</email>
     <xref ref-type="aff" rid="aff-4"/>
    </contrib>
   </contrib-group>
   <aff-alternatives id="aff-1">
    <aff>
     <institution xml:lang="ru">Петербургский государственный университет путей сообщения Императора Александра I</institution>
     <city>Санкт-Петербург</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Emperor Alexander I St. Petersburg State Transport University</institution>
     <city>St. Petersburg</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-2">
    <aff>
     <institution xml:lang="ru">Петербургский государственный университет путей сообщения Императора Александра I</institution>
     <city>Санкт-Петербург</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Emperor Alexander I St. Petersburg State Transport University</institution>
     <city>St. Petersburg</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-3">
    <aff>
     <institution xml:lang="ru">Военно-космическая академия имени А. Ф. Можайского</institution>
     <city>Санкт-Петербург</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Mozhaisky Military Aerospace Academy</institution>
     <city>Saint Petersburg</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-4">
    <aff>
     <institution xml:lang="ru">Петербургский государственный университет путей сообщения Императора Александра I</institution>
     <city>Санкт-Петербург</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Emperor Alexander I St. Petersburg State Transport University</institution>
     <city>St. Petersburg</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <pub-date publication-format="print" date-type="pub" iso-8601-date="2025-03-24T00:00:00+03:00">
    <day>24</day>
    <month>03</month>
    <year>2025</year>
   </pub-date>
   <pub-date publication-format="electronic" date-type="pub" iso-8601-date="2025-03-24T00:00:00+03:00">
    <day>24</day>
    <month>03</month>
    <year>2025</year>
   </pub-date>
   <issue>1</issue>
   <fpage>27</fpage>
   <lpage>36</lpage>
   <history>
    <date date-type="received" iso-8601-date="2025-02-12T00:00:00+03:00">
     <day>12</day>
     <month>02</month>
     <year>2025</year>
    </date>
    <date date-type="accepted" iso-8601-date="2025-02-19T00:00:00+03:00">
     <day>19</day>
     <month>02</month>
     <year>2025</year>
    </date>
   </history>
   <self-uri xlink:href="https://pgups.editorum.ru/en/nauka/article/94973/view">https://pgups.editorum.ru/en/nauka/article/94973/view</self-uri>
   <abstract xml:lang="ru">
    <p>С развитием беспилотных летательных аппаратов (БПЛА) обеспечение точного позиционирования становится одной из ключевых задач, особенно при ограниченной или отсутствующей доступности спутниковых сигналов. Цель: осуществить сравнительный анализ методов позиционирования RTK (Real-Time Kinematic) кинематики реального времени и PPP (Precise Point Positioning) точного позиционирования для оценки их эффективности в различных условиях эксплуатации БПЛА.&#13;
Результаты: исследование выявило, что RTK характеризуется высокой точностью в реальном времени при наличии базовой станции. Это делает его подходящим для задач, требующих оперативной аналитики, например в агломерациях. PPP, напротив, обеспечивает автономное позиционирование и подходит для удаленных областей, но требует времени на инициализацию для достижения высокой точности. Сравнение показало, что оба метода обладают уникальными преимуществами и ограничениями, определяющими их применимость в различных сценариях использования. Практическая значимость: результаты исследования могут быть использованы для оптимизации выбора и применения систем позиционирования в различных отраслях, таких как картография, логистика и мониторинг окружающей среды, повышая эффективность и надежность операций с использованием БПЛА. Обсуждение: рекомендована дальнейшая модернизация данных методов для повышения их эффективности и расширения областей применения, включая интеграцию с современными системами управления БПЛА.</p>
   </abstract>
   <trans-abstract xml:lang="en">
    <p>With the advancement of unmanned aerial vehicles (UAVs), ensuring an object’s precise positioning has become one of the key challenges especially in environments with limited or no satellite signals. Purpose: to conduct a comparative analysis of Real-Time Kinematic (RTK) and Precise Point Positioning (PPP) methods to evaluate their effectiveness under various UAV operational conditions. Results: the study revealed that RTK provides high real-time accuracy when a base station is available making it suitable for tasks requiring rapid analytics, such as in urban agglomerations. In contrast, PPP enables autonomous positioning and is better suited for remote areas, though it requires an initialization period to achieve high accuracy. The comparison showed that both methods have unique advantages and limitations that define their applicability in different usage scenarios. Practical significance: the study’s findings can be used to optimize the selection and implementation of positioning systems in various industries, such as cartography, logistics, and environmental monitoring enhancing the efficiency and reliability of UAV operations. Discussion: further refinement of these methods is recommended to improve their effectiveness and expand their applications including integration with modern UAV control systems.</p>
   </trans-abstract>
   <kwd-group xml:lang="ru">
    <kwd>маршрутизация БПЛА</kwd>
    <kwd>ГНСС</kwd>
    <kwd>DGPS</kwd>
    <kwd>RTK</kwd>
    <kwd>PPP</kwd>
    <kwd>корректирующие сигналы</kwd>
    <kwd>точное позиционирование</kwd>
   </kwd-group>
   <kwd-group xml:lang="en">
    <kwd>UAV routing</kwd>
    <kwd>GNSS</kwd>
    <kwd>DGPS</kwd>
    <kwd>RTK</kwd>
    <kwd>PPP</kwd>
    <kwd>correction signals</kwd>
    <kwd>precise positioning</kwd>
   </kwd-group>
  </article-meta>
 </front>
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 <back>
  <ref-list>
   <ref id="B1">
    <label>1.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">A Review of UAV Autonomous Navigation in GPS-Denied Environments / Y. Chang, Y. Cheng, U. Manzoor, J. Murray // Robotics and Autonomous Systems. 2023. Vol. 170. Art. No. 104533. 23 p. DOI: 10.1016/j.robot.2023.104533.</mixed-citation>
     <mixed-citation xml:lang="en">Chang Y., Cheng Y., Manzoor U., Murray J. A Review of UAV Autonomous Navigation in GPS-Denied Environments, Robotics and Autonomous Systems, 2023, Vol. 170, Art. No. 104533, 23 p. DOI: 10.1016/j.robot.2023.104533.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B2">
    <label>2.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Al-Shaery A. M., Lim S., Rizos C. Investigation of Different Interpolation Models Used in Network-RTK for the Virtual Reference Station Technique // Journal of Global Positioning Systems. 2011. Vol. 10, No. 2. Pp. 136–148. DOI: 10.5081/jgps.10.2.136.</mixed-citation>
     <mixed-citation xml:lang="en">Al-Shaery A. M., Lim S., Rizos C. Investigation of Different Interpolation Models Used in Network-RTK for the Virtual Reference Station Technique, Journal of Global Positioning Systems, 2011, Vol. 10, No. 2, Pp. 136–148. DOI: 10.5081/jgps.10.2.136.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B3">
    <label>3.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Angelino C. V., Baraniello V. R., Cicala L. UAV Position and Attitude Estimation Using IMU, GNSS and Camera // Proceedings of the 15th International Conference on Information Fusion (Singapore, 09–12 July 2012). Institute of Electrical and Electronics Engineers, 2012. Pp. 735–742.</mixed-citation>
     <mixed-citation xml:lang="en">Angelino C. V., Baraniello V. R., Cicala L. UAV Position and Attitude Estimation Using IMU, GNSS and Camera, Proceedings of the 15th International Conference on Information Fusion, Singapore, July 09–12, 2012. Institute of Electrical and Electronics Engineers, 2012, Pp. 735–742.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B4">
    <label>4.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Tightly Coupled Integration of Multi-GNSS PPP and MEMS Inertial Measurement Unit Data / Z. Gao, H. Zhang, M. Ge, et al. // GPS Solution. 2017. Vol. 21, Iss. 2. Pp. 377–391. DOI: 10.1007/s10291-016-0527-z.</mixed-citation>
     <mixed-citation xml:lang="en">Gao Z., Zhang H., Ge M., et al. Tightly Coupled Integration of Multi-GNSS PPP and MEMS Inertial Measurement Unit Data, GPS Solution, 2017, Vol. 21, Iss. 2, Pp. 377–391. DOI: 10.1007/s10291-016-0527-z.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B5">
    <label>5.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Odometer, Low-Cost Inertial Sensors, and Four-GNSS Data to Enhance PPP and Attitude Determination / Z. Gao, M. Ge, Y. Li, et al. // GPS Solutions. 2018. Vol. 22, Iss. 3. Art. No. 57. 16 p. DOI: 10.1007/s10291-018-0725-y.</mixed-citation>
     <mixed-citation xml:lang="en">Gao Z., Ge M., Li Y., et al. Odometer, Low-Cost Inertial Sensors, and Four-GNSS Data to Enhance PPP and Attitude Determination, GPS Solutions, 2018, Vol. 22, Iss. 3, Art. No. 57, 16 p. DOI: 10.1007/s10291-018-0725-y.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B6">
    <label>6.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Липанов И. Д., Хомоненко А. Д. Технологии и методы планирования перемещения БПЛА по маршрутным точкам // Интеллектуальные технологии на транспорте. 2024. № 3 (39). С. 30–43. DOI: 10.20295/2413-2527-2024-339-30-43.</mixed-citation>
     <mixed-citation xml:lang="en">Lipanov I. D., Khomonenko A. D. Technologies and Methods for Planning the Movement of UAVs Along Waypoints, Intellectual Technologies on Transport, 2024, No. 3 (39), Pp. 30–43. DOI: 10.20295/2413-2527-2024-339-30-43. (In Russian)</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B7">
    <label>7.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Resolution of GPS Carrier-Phase Ambiguities in Precise Point Positioning (PPP) with Daily Observations / M. Ge, G. Gendt, M. Rothacher, et al. // Journal of Geodesy. 2008. Vol. 82, Iss. 7. Pp. 389–399. DOI: 10.1007/s00190-007-0187-4.</mixed-citation>
     <mixed-citation xml:lang="en">Ge M., Gendt G., Rothacher M. et al. Resolution of GPS Carrier-Phase Ambiguities in Precise Point Positioning (PPP) with Daily Observations, Journal of Geodesy, 2008, Vol. 82, Iss. 7, Pp. 389–399. DOI: 10.1007/s00190-007-0187-4.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B8">
    <label>8.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Towards PPP-RTK: Ambiguity Resolution in Real-Time Precise Point Positioning / J. Geng, F. N. Teferle, X. Meng, A. H. Dodson // Advances in Space Research. 2011. Vol. 47, Iss. 10. Pp. 1664–1673. DOI: 10.1016/j.asr.2010.03.030.</mixed-citation>
     <mixed-citation xml:lang="en">Geng J., Teferle F. N., Meng X.,  Dodson A. H. Towards PPP-RTK: Ambiguity Resolution in Real-Time Precise Point Positioning, Advances in Space Research, 2011, Vol. 47, Iss. 10, Pp. 1664–1673. DOI: 10.1016/j.asr.2010.03.030.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B9">
    <label>9.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Speeding Up PPP Ambiguity Resolution Using Triple-Frequency GPS/BeiDou/Galileo/QZSS Data / J. Geng, J. Guo, X. Meng, K. Gao // Journal of Geodesy. 2020. Vol. 94, Iss. 1. Art. No. 6. 15 p. DOI: 10.1007/s00190-019-01330-1.</mixed-citation>
     <mixed-citation xml:lang="en">Geng J., Guo J., Meng X., Gao K. Speeding Up PPP Ambiguity Resolution Using Triple-Frequency GPS/BeiDou/Galileo/QZSS Data, Journal of Geodesy, 2020, Vol. 94, Iss. 1, Art. No. 6, 15 p. DOI: 10.1007/s00190-019-01330-1.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B10">
    <label>10.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Multi-GNSS Fractional Cycle Bias Products Generation for GNSS Ambiguity-Fixed PPP at Wuhan University / J. Hu, X. Zhang, P. Li, et al. // GPS Solutions. 2020. Vol. 24, Iss. 1. Art. No. 15. 13 p. DOI: 10.1007/s10291-019-0929-9.</mixed-citation>
     <mixed-citation xml:lang="en">Hu J., Zhang X., Li P., et al. Multi-GNSS Fractional Cycle Bias Products Generation for GNSS Ambiguity-Fixed PPP at Wuhan University, GPS Solutions, 2020, Vol. 24, Iss. 1, Art. No. 15, 13 p. DOI: 10.1007/s10291-019-0929-9.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B11">
    <label>11.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Laurichesse D., Mercier F. Integer Ambiguity Resolution on Undifferenced GPS Phase Measurements and Its Application to PPP // Proceedings of the 20th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GNSS 2007) (Fort Worth, TX, USA, 25–28 September 2007). Manassas (VA): The Institute of Navigation, 2007. Pp. 839–848.</mixed-citation>
     <mixed-citation xml:lang="en">Laurichesse D., Mercier F. Integer Ambiguity Resolution on Undifferenced GPS Phase Measurements and Its Application to PPP, Proceedings of the 20th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GNSS 2007), Fort Worth, TX, USA, September 25–28, 2007. Manassas (VA), The Institute of Navigation, 2007, Pp. 839–848.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B12">
    <label>12.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Multi-GNSS Phase Delay Estimation and PPP Ambiguity Resolution: GPS, BDS, GLONASS, Galileo / Xing. Li, Xin Li, Y. Yuan, et al. // Journal of Geodesy. 2018. Vol. 92, Iss. 6. Pp. 579–608. DOI: 10.1007/s00190-017-1081-3.</mixed-citation>
     <mixed-citation xml:lang="en">Li Xing., Li Xin, Yuan Y., et al. Multi-GNSS Phase Delay Estimation and PPP Ambiguity Resolution: GPS, BDS, GLONASS, Galileo, Journal of Geodesy, 2018, Vol. 92, Iss. 6, Pp. 579–608. DOI: 10.1007/s00190-017-1081-3.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B13">
    <label>13.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">GLONASS Phase Bias Estimation and Its PPP Ambiguity Resolution Using Homogeneous Receivers / Y. Liu, W. Song, Y. Lou. et al. // GPS Solutions. 2017. Vol. 21, Iss. 2. Pp. 427–437. DOI: 10.1007/s10291-016-0529-x.</mixed-citation>
     <mixed-citation xml:lang="en">Liu Y., Song W., Lou Y., et al. GLONASS Phase Bias Estimation and Its PPP Ambiguity Resolution Using Homogeneous Receivers, GPS Solutions, 2017, Vol. 21, Iss. 2, Pp. 427–437. DOI: 10.1007/s10291-016-0529-x.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B14">
    <label>14.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Martell H., Roesler G. Tightly Coupled Processing of Precise Point Positioning (PPP) and INS Data // Proceedings of the 22th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GNSS 2009) (Savannah, GA, USA, 22–25 September 2009). Manassas (VA): The Institute of Navigation, 2009. Pp. 1898–1905.</mixed-citation>
     <mixed-citation xml:lang="en">Martell H., Roesler G. Tightly Coupled Processing of Precise Point Positioning (PPP) and INS Data, Proceedings of the 22th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GNSS 2009), Savannah, GA, USA, September 22–25, 2009. Manassas (VA), The Institute of Navigation, 2009, Pp. 1898–1905.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B15">
    <label>15.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Towards Sub-meter Positioning Using Android Raw GNSS Measurements / D. Psychas, J. Bruno, L. Massarweh, F. Darugna // Proceedings of the 32nd International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GNSS+ 2019) (Miami, FL, USA, 16–20 September 2019). Manassas (VA): The Institute of Navigation, 2019. Pp. 3917–3931. DOI: 10.33012/2019.17077.</mixed-citation>
     <mixed-citation xml:lang="en">Psychas D., Bruno J., Massarweh L., Darugna F. Towards Sub-meter Positioning Using Android Raw GNSS Measurements, Proceedings of the 32nd International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GNSS+ 2019), Miami, FL, USA, September 16–20, 2019. Manassas (VA), The Institute of Navigation, 2019, Pp. 3917–3931. DOI: 10.33012/2019.17077.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B16">
    <label>16.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Zhang B., Chen Y., Yuan Y. PPP-RTK Based on Undifferenced and Uncombined Observations: Theoretical and Practical Aspects // Journal of Geodesy. 2018. Vol. 93, Iss. 7. Pp. 1011–1024. DOI: 10.1007/s00190-018-1220-5.</mixed-citation>
     <mixed-citation xml:lang="en">Zhang B., Chen Y., Yuan Y. PPP-RTK Based on Undifferenced and Uncombined Observations: Theoretical and Practical Aspects, Journal of Geodesy, 2018, Vol. 93, Iss. 7, Pp. 1011–1024. DOI: 10.1007/s00190-018-1220-5.</mixed-citation>
    </citation-alternatives>
   </ref>
  </ref-list>
 </back>
</article>
