{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,24]],"date-time":"2025-10-24T16:49:38Z","timestamp":1761324578724,"version":"build-2065373602"},"reference-count":37,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2024,5,7]],"date-time":"2024-05-07T00:00:00Z","timestamp":1715040000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Science and Technology Department of Sichuan Province","award":["2020YFSY0004"],"award-info":[{"award-number":["2020YFSY0004"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Algorithms"],"abstract":"<jats:p>Accuracy of electro-mechanical actuator in aircraft is susceptible to variable operation conditions such as electromagnetic interference, changeable temperature or loss of maintenance, leading in turn to flight performance degradation. This paper proposed an unified control paradigm that aims to keep aircraft\u2019s velocity in a safe boundary and shorten the system stabilizing time in presence of actuator deviation. The controller is derived following a practical finite-time-convergence (FTC) with extended dynamics, and an integrated state-constraint structure so as to restrict air vehicle\u2019s attitude rate or translation velocity. It is proved that the system state converges to a sphere near the origin in a finite time, the state trajectory is always remain within the prescribed range, and all signals of the closed-loop system are uniformly ultimately bounded. Compared simulation with the quadratic Lyapunov-based FTC method and an asymptotic convergence controller are conducted on an unmanned helicopter prototype. Results show that the proposed controller enhances the dynamic and fault-tolerant performance of resisting actuator fluctuation.<\/jats:p>","DOI":"10.3390\/a17050196","type":"journal-article","created":{"date-parts":[[2024,5,7]],"date-time":"2024-05-07T11:00:10Z","timestamp":1715079610000},"page":"196","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Performance-Constraint Fault Tolerant Control to Aircraft in Presence of Actuator Deviation"],"prefix":"10.3390","volume":"17","author":[{"given":"Peng","family":"Tang","sequence":"first","affiliation":[{"name":"AVIC Chengdu Aircraft Industrial (Group) Co., Ltd., Chengdu 610091, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chuangxin","family":"Zhao","sequence":"additional","affiliation":[{"name":"AVIC Chengdu Aircraft Industrial (Group) Co., Ltd., Chengdu 610091, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shizhe","family":"Liang","sequence":"additional","affiliation":[{"name":"AVIC Chengdu Aircraft Industrial (Group) Co., Ltd., Chengdu 610091, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yuehong","family":"Dai","sequence":"additional","affiliation":[{"name":"School of Aeronautics and Astronautics, University of Electronic Science and Technology of China, Chengdu 610071, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,5,7]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1249","DOI":"10.1049\/elp2.12225","article-title":"A review of fault diagnosis, prognosis and health management for aircraft electromechanical actuators","volume":"16","author":"Yin","year":"2022","journal-title":"IET Electr. Power Appl."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"663","DOI":"10.1007\/s42405-020-00331-1","article-title":"Fault and Failure Tolerant Model Predictive Control of Quadrotor UAV","volume":"22","author":"Jung","year":"2021","journal-title":"Int. J. Aeronaut. Space Sci."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"106415","DOI":"10.1016\/j.ast.2020.106415","article-title":"An integral TSMC-based adaptive fault-tolerant control for quadrotor with external disturbances and parametric uncertainties","volume":"109","author":"Tang","year":"2021","journal-title":"Aerosp. Sci. Technol."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"116","DOI":"10.1109\/TRO.2020.3010626","article-title":"Incremental Nonlinear Fault-Tolerant Control of a Quadrotor with Complete Loss of Two Opposing Rotors","volume":"37","author":"Sun","year":"2021","journal-title":"IEEE Trans. Robot."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"191","DOI":"10.1007\/s00521-020-04977-6","article-title":"Adaptive fuzzy fault-tolerant control using Nussbaum-type function with state-dependent actuator failures","volume":"33","author":"Bounemeur","year":"2021","journal-title":"Neural Comput. Appl."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"4203","DOI":"10.1109\/TCSI.2022.3192046","article-title":"Event-triggered adaptive fault-tolerant control for a class of nonlinear multiagent systems with sensor and actuator faults","volume":"69","author":"Wang","year":"2022","journal-title":"IEEE Trans. Circuits Syst. Regul. Pap."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"121874","DOI":"10.1016\/j.eswa.2023.121874","article-title":"Fault-tolerant learning control of air-breathing hypersonic vehicles with uncertain parameters and actuator faults","volume":"238","author":"Wang","year":"2024","journal-title":"Expert Syst. Appl."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"324","DOI":"10.1016\/j.actaastro.2022.01.023","article-title":"Output feedback fault-tolerant control for hypersonic flight vehicles with non-affine actuator faults","volume":"193","author":"Lu","year":"2022","journal-title":"Acta Astronaut."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"1725","DOI":"10.1109\/TAC.2020.2997347","article-title":"Fault-tolerant control for systems with unmatched actuator faults and disturbances","volume":"66","author":"Zhang","year":"2021","journal-title":"IEEE Trans. Autom. Control"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"1558","DOI":"10.1002\/asjc.1243","article-title":"Adaptive sliding mode observer-based robust fault reconstruction for a helicopter with actuator fault","volume":"18","author":"Chen","year":"2016","journal-title":"Asian J. Control"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"10649","DOI":"10.1109\/ACCESS.2019.2963693","article-title":"Fault estimation and fault tolerant control strategies applied to VTOL aerial vehicles with soft and aggressive actuator faults","volume":"8","author":"Castillo","year":"2020","journal-title":"IEEE Access"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"8","DOI":"10.1016\/j.isatra.2020.10.061","article-title":"On the synthesis of a sliding-mode-observer-based adaptive fault-tolerant flight control scheme","volume":"111","author":"Chang","year":"2021","journal-title":"ISA Trans."},{"key":"ref_13","doi-asserted-by":"crossref","unstructured":"Liu, Y., Hong, S., Zio, E., and Liu, J. (2021). Fault Diagnosis and Reconfigurable Control for Commercial Aircraft with Multiple Faults and Actuator Saturation. Aerospace, 8.","DOI":"10.3390\/aerospace8040108"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"3505","DOI":"10.1007\/s11071-021-07127-2","article-title":"Event-driven-observer-based fuzzy fault-tolerant control for nonlinear system with actuator fault","volume":"107","author":"Guo","year":"2022","journal-title":"Nonlinear Dyn."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"1266","DOI":"10.1177\/0142331218775477","article-title":"Robust attitude fault-tolerant control for unmanned autonomous helicopter with flapping dynamics and actuator faults","volume":"41","author":"Yan","year":"2019","journal-title":"Trans. Inst. Meas. Control"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"653","DOI":"10.1016\/j.jfranklin.2021.02.040","article-title":"Fault tolerant linear parameter varying flight control design, verification and validation","volume":"359","author":"Marcos","year":"2022","journal-title":"J. Frankl. Inst."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"356","DOI":"10.1016\/j.isatra.2020.05.010","article-title":"Fault tolerant control for linear parameter varying systems: An improved robust virtual actuator and sensor approach","volume":"104","author":"Quadros","year":"2020","journal-title":"ISA Trans."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"105745","DOI":"10.1016\/j.ast.2020.105745","article-title":"Active fault-tolerant control for a quadrotor helicopter against actuator faults and model uncertainties","volume":"99","author":"Wang","year":"2020","journal-title":"Aerosp. Sci. Technol."},{"key":"ref_19","doi-asserted-by":"crossref","unstructured":"Sun, X., Wang, X., Zhou, Z., and Zhou, Z. (2020). Active Fault-Tolerant Control Strategy for More Electric Aircraft under Actuation System Failure. Actuators, 9.","DOI":"10.3390\/act9040122"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"4559","DOI":"10.1109\/TAES.2023.3243580","article-title":"Adaptive fault-tolerant control of a hybrid canard rotor\/wing uav under transition flight subject to actuator faults and model uncertainties","volume":"59","author":"Wang","year":"2023","journal-title":"IEEE Trans. Aerosp. Electron. Syst."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"204","DOI":"10.1016\/j.ast.2019.01.021","article-title":"A fast finite-time convergent guidance law with nonlinear disturbance observer for unmanned aerial vehicles collision avoidance","volume":"86","author":"Zhang","year":"2019","journal-title":"Aerosp. Sci. Technol."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"3737","DOI":"10.1002\/rnc.6001","article-title":"Fault-tolerant attitude tracking control with practical finite time convergence for unmanned aerial vehicles under actuation faults","volume":"32","author":"Yu","year":"2022","journal-title":"Int. J. Robust Nonlinear Control."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"1747","DOI":"10.1007\/s11071-019-04882-1","article-title":"Finite-time control for small-scale unmanned helicopter with disturbances","volume":"96","author":"Jiang","year":"2019","journal-title":"Nonlinear Dyn."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"2868","DOI":"10.1080\/00207721.2020.1803438","article-title":"Fast finite-time backstepping for helicopters under input constraints and perturbations","volume":"51","author":"Jiang","year":"2020","journal-title":"Int. J. Syst. Sci."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"935","DOI":"10.1002\/rnc.4411","article-title":"High-order mismatched disturbance rejection control for small-scale unmanned helicopter via continuous nonsingular terminal sliding-mode approach","volume":"29","author":"Fang","year":"2019","journal-title":"Int. J. Robust Nonlinear Control."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"63292","DOI":"10.1109\/ACCESS.2018.2876762","article-title":"Integral barrier Lyapunov function based saturated dynamic surface control for vision-based quadrotors via back-stepping","volume":"6","author":"Liu","year":"2018","journal-title":"IEEE Access"},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"241","DOI":"10.1016\/j.oceaneng.2019.02.023","article-title":"Output-constrained tracking control of an underactuated autonomous underwater vehicle with uncertainties","volume":"175","author":"Zheng","year":"2019","journal-title":"Ocean. Eng."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"1047","DOI":"10.1109\/TCYB.2018.2794972","article-title":"Barrier Lyapunov Function Based Learning Control of Hypersonic Flight Vehicle with AOA Constraint and Actuator Faults","volume":"49","author":"Xu","year":"2019","journal-title":"IEEE Trans. Cybern."},{"key":"ref_29","unstructured":"Ngo, K.B., Mahony, R., and Jiang, Z.P. (2005, January 15). Integrator backstepping using barrier functions for systems with multiple state constraints. Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, Seville, Spain."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1016\/j.automatica.2018.10.030","article-title":"Adaptive finite-time tracking control of full state constrained nonlinear systems with dead-zone","volume":"100","author":"Li","year":"2019","journal-title":"Automatica"},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"6392175","DOI":"10.1155\/2019\/6392175","article-title":"Adaptive Backstepping Attitude Control Law with L2 -Gain Performance for Flexible Spacecraft","volume":"2019","author":"Dong","year":"2019","journal-title":"Int. J. Aerosp. Eng."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"924","DOI":"10.1080\/0020717031000099029","article-title":"Higher-order sliding modes, differentiation and output-feedback control","volume":"76","author":"Levant","year":"2003","journal-title":"Int. J. Control"},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"1957","DOI":"10.1016\/j.automatica.2005.07.001","article-title":"Continuous finite-time control for robotic manipulators with terminal sliding mode","volume":"41","author":"Yu","year":"2005","journal-title":"Automatica"},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"173","DOI":"10.1016\/j.automatica.2018.03.033","article-title":"Finite-time command filtered backstepping control for a class of nonlinear systems","volume":"92","author":"Yu","year":"2018","journal-title":"Automatica"},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"7158","DOI":"10.1016\/j.jfranklin.2018.08.015","article-title":"Robust control of unmanned helicopters with high-order mismatched disturbances via disturbance-compensation-gain construction approach","volume":"355","author":"Fang","year":"2018","journal-title":"J. Frankl. Inst."},{"key":"ref_36","doi-asserted-by":"crossref","unstructured":"Johnson, E., and Mishra, S. (2002, January 5\u20138). Flight Simulation for the Development of an Experimental UAV. Proceedings of the AIAA Modeling and Simulation Technologies Conference and Exhibit, Monterey, CA, USA.","DOI":"10.2514\/6.2002-4975"},{"key":"ref_37","doi-asserted-by":"crossref","unstructured":"Cai, G., Chen, B.M., and Lee, T.H. (2011). Unmanned Rotorcraft Systems, Springer Science & Business Media.","DOI":"10.1007\/978-0-85729-635-1"}],"container-title":["Algorithms"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1999-4893\/17\/5\/196\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T14:41:09Z","timestamp":1760107269000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1999-4893\/17\/5\/196"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,5,7]]},"references-count":37,"journal-issue":{"issue":"5","published-online":{"date-parts":[[2024,5]]}},"alternative-id":["a17050196"],"URL":"https:\/\/doi.org\/10.3390\/a17050196","relation":{},"ISSN":["1999-4893"],"issn-type":[{"type":"electronic","value":"1999-4893"}],"subject":[],"published":{"date-parts":[[2024,5,7]]}}}