{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,30]],"date-time":"2026-06-30T03:35:25Z","timestamp":1782790525116,"version":"3.54.5"},"reference-count":31,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2019,12,18]],"date-time":"2019-12-18T00:00:00Z","timestamp":1576627200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"State Key Laboratory of Industrial Control Technology (Zhejiang University)","award":["ICT1909"],"award-info":[{"award-number":["ICT1909"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>This work proposes a new positioning method based on multiple ultrasonic sensors for the autonomous mobile robot. Unlike the conventional ultrasonic positioning methods, this new method can realize higher accuracy ultrasonic positioning without additional temperature information. Three ultrasonic sensors are used for positioning. A generalized measurement model is established for general sensor configuration. A simplified measurement model, which considers the computational complexity, is also established for linear\/simplified sensor configuration. Three time-of-flight signals are obtained from the three ultrasonic sensors. The coordinates of the target are calculated by the ratios of time-of-flights. Positioning experiments were carried out to verify the feasibility and effectiveness of the proposed method. Experimental results show that the new ultrasonic positioning method is effective, both the two established models can implement positioning successfully, and the positioning accuracy is satisfactory. Compared with the conventional ultrasonic positioning method with the default ultrasonic velocity, the positioning accuracy is greatly improved by the proposed method. Compared with the ultrasonic positioning method with additional temperature compensation, the results obtained by the proposed method are comparable.<\/jats:p>","DOI":"10.3390\/s20010017","type":"journal-article","created":{"date-parts":[[2019,12,23]],"date-time":"2019-12-23T03:15:01Z","timestamp":1577070901000},"page":"17","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":35,"title":["A New Positioning Method Based on Multiple Ultrasonic Sensors for Autonomous Mobile Robot"],"prefix":"10.3390","volume":"20","author":[{"given":"Mingqi","family":"Shen","sequence":"first","affiliation":[{"name":"State Key Laboratory of Industrial Control Technology, College of Control Science and Engineering, Zhejiang University, Hangzhou 310027, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yuying","family":"Wang","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Industrial Control Technology, College of Control Science and Engineering, Zhejiang University, Hangzhou 310027, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yandan","family":"Jiang","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Industrial Control Technology, College of Control Science and Engineering, Zhejiang University, Hangzhou 310027, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Haifeng","family":"Ji","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Industrial Control Technology, College of Control Science and Engineering, Zhejiang University, Hangzhou 310027, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Baoliang","family":"Wang","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Industrial Control Technology, College of Control Science and Engineering, Zhejiang University, Hangzhou 310027, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1858-5994","authenticated-orcid":false,"given":"Zhiyao","family":"Huang","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Industrial Control Technology, College of Control Science and Engineering, Zhejiang University, Hangzhou 310027, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2019,12,18]]},"reference":[{"key":"ref_1","unstructured":"Siegwart, R., and Nourbakhsh, I.R. (2004). Introduction to Autonomous Mobile Robots, MIT Press."},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Siciliano, B., and Khatib, O. (2008). Springer Handbook of Robotics, Springer.","DOI":"10.1007\/978-3-540-30301-5"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"53","DOI":"10.1016\/j.inffus.2018.01.005","article-title":"Simultaneous calibration and navigation (SCAN) of multiple ultrasonic local positioning systems","volume":"45","author":"Gualda","year":"2019","journal-title":"Inf. Fusion"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"213","DOI":"10.1109\/56.2085","article-title":"Obstacle avoidance with ultrasonic sensors","volume":"4","author":"Borenstein","year":"1988","journal-title":"IEEE J. Robot. Autom."},{"key":"ref_5","doi-asserted-by":"crossref","unstructured":"Lee, H., and Kang, D. (2007, January 10\u201314). Design and Fabrication of the High Directional Ultrasonic Ranging Sensor to Enhance the Spatial Resolution. Proceedings of the IEEE Solid-state Sensors, Actuators & Microsystems Conference, Transducers International, Lyon, France.","DOI":"10.1109\/SENSOR.2007.4300377"},{"key":"ref_6","unstructured":"Ijaz, F. (2013, January 27\u201330). Indoor Positioning: A Review of Indoor Ultrasonic Positioning systems. Proceedings of the IEEE International Conference on Advanced Communication Technology, PyeongChang, Korea."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"104","DOI":"10.1016\/j.sna.2015.12.006","article-title":"A range estimation system using coded ultrasound","volume":"238","author":"Carotenuto","year":"2016","journal-title":"Sens. Actuators A Phys."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"1236","DOI":"10.1109\/19.668260","article-title":"Accurate distance measurement by an autonomous ultrasonic system combining time-of-flight and phase-shift methods","volume":"46","author":"Gueuning","year":"1997","journal-title":"IEEE Trans. Instrum. Meas."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"578","DOI":"10.1109\/19.9817","article-title":"Ultrasonic distance measurement for linear and angular position control","volume":"37","author":"Marioli","year":"1988","journal-title":"IEEE Trans. Instrum. Meas."},{"key":"ref_10","doi-asserted-by":"crossref","unstructured":"Kleinschmidt, P., and Magori, V. (1985, January 16\u201318). Ultrasonic Robotic-Sensors for Exact Short Range Distance Measurement and Object Identification. Proceedings of the IEEE Ultrasonics Symposium, San Francisco, CA, USA.","DOI":"10.1109\/ULTSYM.1985.198552"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"336","DOI":"10.1109\/TIE.1982.356688","article-title":"A Temperature Compensated Ultrasonic Sensor Operating in Air for Distance and Proximity Measurements","volume":"IE-29","author":"Canali","year":"1982","journal-title":"IEEE Trans. Ind. Electron."},{"key":"ref_12","unstructured":"Shin, S., and Kim, M.H. (November, January 30). Improving efficiency of ultrasonic distance sensors using pulse interval modulation. Proceedings of the IEEE Sensors, Orlando, FL, USA."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"15465","DOI":"10.3390\/s131115465","article-title":"Accurate Estimation of Airborne Ultrasonic Time-of-Flight for Overlapping Echoes","volume":"13","author":"Sarabia","year":"2013","journal-title":"Sensors"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"1561","DOI":"10.1109\/TIM.2011.2181911","article-title":"High-Accuracy Reference-Free Ultrasonic Location Estimation","volume":"61","author":"Saad","year":"2012","journal-title":"IEEE Trans. Instrum. Meas."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"358","DOI":"10.1109\/TRA.2003.809586","article-title":"Forward model for sonar maps produced with the Polaroid ranging module","volume":"19","author":"Kuc","year":"2003","journal-title":"IEEE Trans. Robot. Autom."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"044905","DOI":"10.1063\/1.4871993","article-title":"Double threshold ultrasonic distance measurement technique and its application","volume":"85","author":"Li","year":"2014","journal-title":"Rev. Sci. Instrum."},{"key":"ref_17","unstructured":"Cha, I.S., and Park, H.A. (1996, January 18\u201321). The characteristics of compensation on temperature of ultrasonic motor with robot actuator by fuzzy controller. Proceedings of the IEEE Conference on Emerging Technologies & Factory Automation, Kauai, HI, USA."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"452","DOI":"10.1088\/1742-6596\/48\/1\/086","article-title":"Research on Single Base-Station Distance Estimation Algorithm in Quasi-GPS Ultrasonic Location System","volume":"48","author":"Cheng","year":"2006","journal-title":"J. Phys. Conf. Ser."},{"key":"ref_19","doi-asserted-by":"crossref","unstructured":"Lu, Y., and Finger, A. (2011, January 7\u20138). Channel model-based sensing for indoor ultrasonic location systems. Proceedings of the IEEE Positioning Navigation & Communication, Dresden, Germany.","DOI":"10.1109\/WPNC.2011.5961020"},{"key":"ref_20","unstructured":"Duff, P., and Muller, H. (2003, January 21\u201323). Autocalibration algorithm for ultrasonic location systems. Proceedings of the Seventh IEEE International Symposium on Wearable Computers, White Plains, NY, USA."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"07HC05","DOI":"10.7567\/JJAP.52.07HC05","article-title":"Simultaneous Measurement of Air Temperature and Humidity Based on Sound Velocity and Attenuation Using Ultrasonic Probe","volume":"52","author":"Motegi","year":"2013","journal-title":"Jpn. J. Appl. Phys."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"2226","DOI":"10.1109\/TUFFC.2012.2448","article-title":"Scale transform signal processing for optimal ultrasonic temperature compensation","volume":"59","author":"Harley","year":"2012","journal-title":"IEEE Trans. Ultrason. Ferroelectr. Freq. Control"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"159","DOI":"10.1016\/j.sna.2009.02.022","article-title":"Temperature distribution and wind vector measurement using ultrasonic CT based on the time of flight detection","volume":"151","author":"Ohyama","year":"2009","journal-title":"Sens. Actuators A Phys."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"128","DOI":"10.1109\/TIM.1984.4315177","article-title":"A fully compensated digital ultrasonic sensor for distance measurement","volume":"33","author":"Chande","year":"1984","journal-title":"IEEE Trans. Instrum. Meas."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"124","DOI":"10.1080\/10739140802584780","article-title":"An Accurate Ultrasonic Distance Measurement System with Self Temperature Compensation","volume":"37","author":"Huang","year":"2009","journal-title":"Instrum. Sci. Technol."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"49248","DOI":"10.1109\/ACCESS.2018.2868848","article-title":"Review of Wheeled Mobile Robots\u2019 Navigation Problems and Application Prospects in Agriculture","volume":"6","author":"Gao","year":"2018","journal-title":"IEEE Access"},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"101845","DOI":"10.1016\/j.apor.2019.06.002","article-title":"Survey of underwater robot positioning navigation","volume":"90","author":"Wu","year":"2019","journal-title":"Appl. Ocean Res."},{"key":"ref_28","doi-asserted-by":"crossref","unstructured":"Jinbu, I., and Sato, S. (2016, January 20\u201323). Accuracy improvement of positional measurement system using ultrasonic waves for indoor flying robot. Proceedings of the IEEE Society of Instrument & Control Engineers of Japan, Tsukuba, Japan.","DOI":"10.1109\/SICE.2016.7749227"},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"972","DOI":"10.1109\/TIM.2018.2863999","article-title":"Ultrasonic Distance Measurement Method with Crosstalk Rejection at High Measurement Rate","volume":"68","author":"Shin","year":"2019","journal-title":"IEEE Trans. Instrum. Meas."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"548","DOI":"10.1088\/0957-0233\/16\/2\/030","article-title":"An ultrasonic air temperature measurement system with self-correction function for humidity","volume":"16","author":"Tsai","year":"2005","journal-title":"Meas. Sci. Technol."},{"key":"ref_31","unstructured":"Hueber, G., and Ostermann, T. (2000, January 21\u201325). New approach of ultrasonic distance measurement technique in robot applications. Proceedings of the IEEE International Conference on Signal Processing, Beijing, China."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/20\/1\/17\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T13:43:29Z","timestamp":1760190209000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/20\/1\/17"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,12,18]]},"references-count":31,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2020,1]]}},"alternative-id":["s20010017"],"URL":"https:\/\/doi.org\/10.3390\/s20010017","relation":{},"ISSN":["1424-8220"],"issn-type":[{"value":"1424-8220","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,12,18]]}}}