{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,25]],"date-time":"2026-06-25T14:21:44Z","timestamp":1782397304233,"version":"3.54.5"},"reference-count":42,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2022,4,2]],"date-time":"2022-04-02T00:00:00Z","timestamp":1648857600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>This article first investigates the dynamic coverage control problem for the multiple stratospheric airships (MSAs) system considering its practical application scenarios. A dynamic coverage control framework is put forward, in which the MSA system can be guided and controlled to fully cover the observation target region. Once a specific target is detected, the coverage target can be switched. First, the location information of the monitored target is predicted by an autoregressive model against processing delay. Second, the coverage control scheme consists of two layers: a novel potential field-based virtual control law to generate the desired velocity and angular velocity and an adaptive tracking controller to track them. In the virtual control law, a dynamic artificial potential field is introduced to adapt to the dynamic scenarios. In the tracking controller, which is combined with the adaptive control technique and the saturation compensator theory, the external disturbances and input saturation are addressed. Third, the event-triggered mechanism is designed to reduce the control frequency to prolong the actuator life. The simulation results are given to substantiate the capability of the proposed dynamic coverage control framework.<\/jats:p>","DOI":"10.3390\/s22072734","type":"journal-article","created":{"date-parts":[[2022,4,3]],"date-time":"2022-04-03T06:04:01Z","timestamp":1648965841000},"page":"2734","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["Event-Triggered Dynamic Coverage Control for Multiple Stratospheric Airships"],"prefix":"10.3390","volume":"22","author":[{"given":"Yifei","family":"Zhang","sequence":"first","affiliation":[{"name":"School of Aeronautic Science and Engineering, Beihang University, Beijing 100191, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8986-1995","authenticated-orcid":false,"given":"Ming","family":"Zhu","sequence":"additional","affiliation":[{"name":"Institute of Unmanned System, Beihang University, Beijing 100191, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Tian","family":"Chen","sequence":"additional","affiliation":[{"name":"School of Electronic and Information Engineering, Beihang University, Beijing 100191, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2022,4,2]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1485","DOI":"10.1016\/j.jastp.2007.05.005","article-title":"Statistical wind analysis for near-space applications","volume":"69","author":"Roney","year":"2007","journal-title":"J. Atmos. -Sol.-Terr. Phys."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"232","DOI":"10.1016\/j.comcom.2020.04.020","article-title":"A review of wireless communication using high-altitude platforms for extended coverage and capacity","volume":"157","author":"Arum","year":"2020","journal-title":"Comput. Commun."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"105349","DOI":"10.1016\/j.ast.2019.105349","article-title":"Path following of the autonomous airship with compensation of unknown wind and modeling uncertainties","volume":"93","author":"Wang","year":"2019","journal-title":"Aerosp. Sci. Technol."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"526","DOI":"10.1016\/j.asr.2018.09.008","article-title":"Robust three-dimensional path-following control for an under-actuated stratospheric airship","volume":"63","author":"Cheng","year":"2019","journal-title":"Adv. Space Res."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"105610","DOI":"10.1016\/j.ast.2019.105610","article-title":"Adaptive sliding-mode-backstepping trajectory tracking control of underactuated airships","volume":"97","author":"Liu","year":"2020","journal-title":"Aerosp. Sci. Technol."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"106100","DOI":"10.1016\/j.ast.2020.106100","article-title":"Horizontal trajectory control of stratospheric airships in wind field using q-learning algorithm","volume":"106","author":"Yang","year":"2020","journal-title":"Aerosp. Sci. Technol."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"4121","DOI":"10.1016\/j.asr.2021.01.048","article-title":"Analysis of long-endurance station-keeping flight scenarios for stratospheric airships in the presence of thermal effects","volume":"67","author":"Wang","year":"2021","journal-title":"Adv. Space Res."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"159","DOI":"10.1016\/j.actaastro.2020.08.016","article-title":"Recovery trajectory optimization of the solar-powered stratospheric airship for the station-keeping mission","volume":"178","author":"Wang","year":"2021","journal-title":"Acta Astronaut."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"1157","DOI":"10.1016\/j.asr.2012.10.014","article-title":"Station-keeping control for a stratospheric airship platform via fuzzy adaptive backstepping approach","volume":"51","author":"Yang","year":"2013","journal-title":"Adv. Space Res."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"49977","DOI":"10.1109\/ACCESS.2020.2979995","article-title":"Distributed event-triggered adaptive formation tracking of networked uncertain stratospheric airships using neural networks","volume":"8","author":"Kim","year":"2020","journal-title":"IEEE Access"},{"key":"ref_11","first-page":"1","article-title":"Distributed fractional-order intelligent adaptive fault-tolerant formation-containment control of two-layer networked unmanned airships for safe observation of a smart city","volume":"99","author":"Yu","year":"2021","journal-title":"IEEE Trans. Cybern."},{"key":"ref_12","unstructured":"Yu, Z., Zhang, Y., Jiang, B., Su, C.-Y., Fu, J., Jin, Y., and Chai, T. (2021). Distributed adaptive fault-tolerant time-varying formation control of unmanned airships with limited communication ranges against input saturation for smart city observation. IEEE Trans. Neural Networks Learn. Syst., 1\u201314."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"104979","DOI":"10.1016\/j.conengprac.2021.104979","article-title":"A survey on modelling, control and challenges of stratospheric airships","volume":"119","author":"Zuo","year":"2022","journal-title":"Control. Eng. Pract."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"33511","DOI":"10.1109\/ACCESS.2020.2967225","article-title":"A distributed multi-agent dynamic area coverage algorithm based on reinforcement learning","volume":"8","author":"Xiao","year":"2020","journal-title":"IEEE Access"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"12109","DOI":"10.1016\/j.jfranklin.2020.08.005","article-title":"Coverage control for mobile sensor networks with time-varying communication delays on a closed curve","volume":"357","author":"Qu","year":"2020","journal-title":"J. Frankl. Inst."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"409","DOI":"10.1109\/TCST.2017.2758344","article-title":"A new voronoi-based blanket coverage control method for moving sensor networks","volume":"27","author":"Abbasi","year":"2019","journal-title":"IEEE Trans. Control. Syst. Technol."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"283","DOI":"10.1109\/LCSYS.2021.3070850","article-title":"Deep reinforcement learning-based effective coverage control with connectivity constraints","volume":"6","author":"Meng","year":"2022","journal-title":"IEEE Control. Syst. Lett."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"109118","DOI":"10.1016\/j.automatica.2020.109118","article-title":"Coverage control for heterogeneous mobile sensor networks with bounded position measurement errors","volume":"120","author":"Song","year":"2020","journal-title":"Automatica"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"108637","DOI":"10.1016\/j.automatica.2019.108637","article-title":"A swarm-based approach to dynamic coverage control of multi-agent systems","volume":"112","author":"Voulgaris","year":"2020","journal-title":"Automatica"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"155","DOI":"10.1016\/j.automatica.2018.03.014","article-title":"Coverage control for mobile sensor networks with limited communication ranges on a circle","volume":"92","author":"Song","year":"2018","journal-title":"Automatica"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"571","DOI":"10.1016\/j.ins.2016.03.053","article-title":"Time-optimal coverage control for multiple unicycles in a drift field","volume":"373","author":"Zuo","year":"2016","journal-title":"Inf. Sci."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"464","DOI":"10.1016\/j.automatica.2017.04.029","article-title":"Nonuniform coverage control for heterogeneous mobile sensor networks on the line","volume":"81","author":"Dou","year":"2017","journal-title":"Automatica"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"642","DOI":"10.1109\/TCST.2007.899155","article-title":"Effective coverage control for mobile sensor networks with guaranteed collision avoidance","volume":"15","author":"Hussein","year":"2007","journal-title":"IEEE Trans. Control. Syst. Technol."},{"key":"ref_24","doi-asserted-by":"crossref","unstructured":"Huang, H., Savkin, A.V., and Li, X. (2020). Reactive autonomous navigation of uavs for dynamic sensing coverage of mobile ground targets. Sensors, 20.","DOI":"10.3390\/s20133720"},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"202","DOI":"10.1109\/TCST.2021.3061513","article-title":"Indirect\/direct learning coverage control for wireless sensor and mobile robot networks","volume":"30","author":"Liu","year":"2021","journal-title":"IEEE Trans. Control. Syst. Technol."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"5333","DOI":"10.1109\/TIE.2021.3080205","article-title":"Dynamic coverage control based on k-means","volume":"69","author":"Yu","year":"2022","journal-title":"IEEE Trans. Ind. Electron."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"1236","DOI":"10.1109\/TCST.2011.2167331","article-title":"Control of multiple uavs for persistent surveillance: Algorithm and flight test results","volume":"20","author":"Nigam","year":"2012","journal-title":"IEEE Trans. Control. Syst. Technol."},{"key":"ref_28","doi-asserted-by":"crossref","unstructured":"Nigam, N., and Kroo, I. (2008, January 1\u20138). Persistent surveillance using multiple unmanned air vehicles. Proceedings of the 2008 IEEE Aerospace Conference, Big Sky, MT, USA.","DOI":"10.1109\/AERO.2008.4526242"},{"key":"ref_29","doi-asserted-by":"crossref","unstructured":"Elmaliach, Y., Agmon, N., and Kaminka, G.A. (2007, January 10\u201314). Multi-robot area patrol under frequency constraints. Proceedings of the 2007 IEEE International Conference on Robotics and Automation, Roma, Italy.","DOI":"10.1109\/ROBOT.2007.363817"},{"key":"ref_30","doi-asserted-by":"crossref","unstructured":"Parsa, A., Monfared, S.B., and Kalhor, A. (2018, January 23\u201325). Backstepping control based on sliding mode for station-keeping of stratospheric airship. Proceedings of the 2018 6th RSI International Conference on Robotics and Mechatronics (IcRoM), Tehran, Iran.","DOI":"10.1109\/ICRoM.2018.8657611"},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"2217","DOI":"10.1109\/LRA.2021.3059625","article-title":"Distributed pdop coverage control: Providing large-scale positioning service using a multi-robot system","volume":"6","author":"Zhang","year":"2021","journal-title":"IEEE Robot. Autom. Lett."},{"key":"ref_32","unstructured":"Lin, Z., and Saberi, A. (July, January 29). Semi-global exponential stabilization of linear discrete-time systems subject to input saturation via linear feedbacks. Proceedings of the 1994 American Control Conference\u2014ACC\u201994, Baltimore, MD, USA."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"1203","DOI":"10.1109\/9.533685","article-title":"Semiglobal stabilization of linear discrete-time systems subject to input saturation, via linear feedback-an are-based approach","volume":"41","author":"Lin","year":"1996","journal-title":"IEEE Trans. Autom. Control."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"1548","DOI":"10.1109\/TAC.2008.921036","article-title":"A parametric lyapunov equation approach to the design of low gain feedback","volume":"53","author":"Zhou","year":"2008","journal-title":"IEEE Trans. Autom. Control."},{"key":"ref_35","doi-asserted-by":"crossref","unstructured":"Heemels, W., Johansson, K., and Tabuada, P. (2012, January 10\u201313). An introduction to event-triggered and self-triggered control. Proceedings of the 2012 IEEE 51st IEEE Conference on Decision and Control (CDC), Grand, Wailea.","DOI":"10.1109\/CDC.2012.6425820"},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"982","DOI":"10.1109\/TAC.2014.2363603","article-title":"A framework for the event-triggered stabilization of nonlinear systems","volume":"60","author":"Postoyan","year":"2015","journal-title":"IEEE Trans. Autom. Control."},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"2071","DOI":"10.1109\/TAC.2016.2594204","article-title":"Event-triggered adaptive control for a class of uncertain nonlinear systems","volume":"62","author":"Xing","year":"2017","journal-title":"IEEE Trans. Autom. Control."},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"447","DOI":"10.1109\/9.486648","article-title":"Stable adaptive neural control scheme for nonlinear systems","volume":"41","author":"Polycarpou","year":"1996","journal-title":"IEEE Trans. Autom. Control."},{"key":"ref_39","first-page":"225","article-title":"On classes of summable functions and their fourier series","volume":"87","author":"Young","year":"1912","journal-title":"Proc. R. Soc. London. Ser. Contain. Pap. Math. Phys. Character"},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"1419","DOI":"10.1007\/s11071-015-2248-1","article-title":"Nonlinear adaptive trajectory tracking control for a stratospheric airship with parametric uncertainty","volume":"82","author":"Sun","year":"2015","journal-title":"Nonlinear Dyn."},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"1037","DOI":"10.19026\/rjaset.7.384","article-title":"Ar-based algorithms for short term load forecast","volume":"7","author":"Baharudin","year":"2014","journal-title":"Res. J. Appl. Sci. Eng. Technol."},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"566","DOI":"10.1109\/TCST.2011.2121907","article-title":"Command filtered adaptive backstepping","volume":"20","author":"Dong","year":"2012","journal-title":"IEEE Trans. Control. Syst. Technol."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/22\/7\/2734\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T22:48:52Z","timestamp":1760136532000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/22\/7\/2734"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,4,2]]},"references-count":42,"journal-issue":{"issue":"7","published-online":{"date-parts":[[2022,4]]}},"alternative-id":["s22072734"],"URL":"https:\/\/doi.org\/10.3390\/s22072734","relation":{},"ISSN":["1424-8220"],"issn-type":[{"value":"1424-8220","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,4,2]]}}}