Abstract
In this manuscript, the design of a continuous super twisting control based on high-order sliding mode observer for a class of nonlinear systems is addressed. An analysis of stability of the system in closed loop with the proposed control-observer scheme is provided by means of Lyapunov approach, where sufficient conditions are given to ensure the convergence in finite time. Furthermore, a comparative study against similar methodologies is provided, where simulation and experimental results illustrate the effectiveness of the proposed scheme for altitude control of a quadrotor aircraft.
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References
Alexis K, Nikolakopoulos G, Tzes A (2012) Model predictive quadrotor control: attitude, altitude and position experimental studies. IET Control Theory Appl 6(12):1812–1827
Bristeau PJ, Callou F, Vissière D, Petit N (2011) The navigation and control technology inside the ar.drone micro uav. IFAC Proc 44(1):1477–1484. https://doi.org/10.3182/20110828-6-IT-1002.02327
Chen L, Wang G (2013) Attitude stabilization for a quadrotor helicopter using a pd controller. IFAC Proc 46(20):236–239. https://doi.org/10.3182/20130902-3-CN-3020.00163
Chovancová A, Fico T, Hubinský P, Duchoń F (2016) Comparison of various quaternion-based control methods applied to quadrotor with disturbance observer and position estimator. Robot Auton Syst 79:87–98. https://doi.org/10.1016/j.robot.2016.01.011
Deutsch F, Li W, Park SH (1989) Characterizations of continuous and lipschitz continuous metric selections in normed linear spaces. J Approx Theory 58(3):297–314. https://doi.org/10.1016/0021-9045(89)90031-2
Golkani MA, Koch S, Reichhartinger M, Horn M (2018) A novel saturated super-twisting algorithm. Syst Control Lett 119:52–56. https://doi.org/10.1016/j.sysconle.2018.07.001
Kim DW (2019) Fuzzy model-based control of a quadrotor. Fuzzy Sets Syst 371:136–147. https://doi.org/10.1016/j.fss.2018.10.012 theme: Control Engineering
Kumari K, Chalanga A, Bandyopadhyay B (2016) Implementation of super-twisting control on higher order perturbed integrator system using higher order sliding mode observer. IFAC-PapersOnLine 49(18):873–878. https://doi.org/10.1016/j.ifacol.2016.10.276 10th IFAC Symposium on Nonlinear Control Systems NOLCOS 2016, 10th IFAC Symposium on Nonlinear Control Systems NOLCOS 2016
Mazenc F, Nesic D (2004) Strong lyapunov functions for systems satisfying the conditions of la salle. IEEE Trans Autom Control 49(6):1026–1030
Moreno J, Osorio M (2012) Strict lyapunov functions for the super-twisting algorithm. IEEE Trans Autom Control 57(4):1035–1040
Munoz F, González-Hernández I, Salazar S, Espinoza ES, Lozano R (2017) Second order sliding mode controllers for altitude control of a quadrotor uas: real-time implementation in outdoor environments. Neurocomputing 233:61–71. https://doi.org/10.1016/j.neucom.2016.08.111,%20sI:%20CCE%202015
Noormohammadi-Asl A, Esrafilian O, Arzati MA, Taghirad HD (2020) System identification and h-based control of quadrotor attitude. Mech Syst Signal Process 135:106358. https://doi.org/10.1016/j.ymssp.2019.106358
Pachpatte B (2000) On some new inequalities related to a certain inequality arising in the theory of differential equations. J Math Anal Appl 251:736–751. https://doi.org/10.1006/jmaa.2000.7044
Pilloni A, Pisano A, Usai E (2012) Parameter tuning and chattering adjustment of super-twisting sliding mode control system for linear plants. In: 12th International workshop on variable structure systems, pp 479–484. https://doi.org/10.1109/VSS.2012.6163549
Santana LV, Brandão AS, Sarcinelli-Filho M (2015) An automatic flight control system for the ar.drone quadrotor in outdoor environments. In: 2015 Workshop on research, education and development of unmanned aerial systems (RED-UAS), pp 401–410
Seeber R, Horn M (2017) Stability proof for a well-established super-twisting parameter setting. Automatica 84:241–243. https://doi.org/10.1016/j.automatica.2017.07.002
Shtessel Y, Edwards C, Fridman L, Levant A (2014) Higher-order sliding mode controllers and differentiators. Springer, New York, pp 213–249. https://doi.org/10.1007/978-0-8176-4893-06
Tamhane B, Kurode S, Bandyopadhyay B (2018) Novel higher order sliding mode observer for output noise attenuation. In: 2018 15th International workshop on variable structure systems (VSS), pp 297–302
Zhou L, Zhang J, She H, Jin H (2019) Quadrotor uav flight control via a novel saturation integral backstepping controller. Automatika 60(2):193–206. https://doi.org/10.1080/00051144.2019.1610838
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Cano-González, J.A., Salas-Peña, O., Gutierrez, S.V. et al. Quadrotor Altitude Control Based on Sliding Mode Control. Iran J Sci Technol Trans Electr Eng 45, 543–551 (2021). https://doi.org/10.1007/s40998-020-00376-8
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DOI: https://doi.org/10.1007/s40998-020-00376-8