{"title":"Application of the Piloting Law Based on Adaptive Differentiators via Second Order Sliding Mode for a Fixed Wing Aircraft ","authors":"Zaouche Mohammed, Amini Mohammed, Foughali Khaled, Hamissi Aicha, Aktouf Mohand Arezki, Boureghda Ilyes","volume":114,"journal":"International Journal of Aerospace and Mechanical Engineering","pagesStart":1102,"pagesEnd":1114,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/10004679","abstract":"
In this paper, we present a piloting law based on the adaptive differentiators via high order sliding mode controller, by using an aircraft in virtual simulated environment. To deal with the design of an autopilot controller, we propose a framework based on Software in the Loop (SIL) methodology and we use MicrosoftTM<\/sup> Flight Simulator (FS-2004) as the environment for plane simulation. The aircraft dynamic model is nonlinear, Multi-Input Multi-Output (MIMO) and tightly coupled. The nonlinearity resides in the dynamic equations and also in the aerodynamic coefficients' variability. In our case, two (02) aircrafts are used in the flight tests, the Zlin-142 and MQ-1 Predator. For both aircrafts and in a very low altitude flight, we send the piloting control inputs to the aircraft which has stalled due to a command disconnection. Then, we present the aircraft’s dynamic behavior analysis while reestablishing the command transmission. Finally, a comparative study between the two aircraft’s dynamic behaviors is presented.<\/p>\r\n","references":"[1]\tO. Harkegard, \u201cFlight Control Design Using Backstepping\u201d, Linkopings universitet, Linkoping, Sweden, 2001.\r\n[2]\tJ.J.E. Slotine, \u201cApplied nonlinear control\u201d, Practice-Hall. 1991.\r\n[3]\tJ.J.E. Slotine, \u201cAdaptive Sliding Controller Synthesis for Nonlinear Systems\u201d, International Journal of Control, 1986.\r\n[4]\tJ L., Junkins, K. Subbarao, A. Verma, \u201cStructured Adaptive Control for Poorly Modeled Nonlinear Dynamical Systems\u201d. Computer Modeling in Engineering & Sciences, Vol. 1, No. 4, pp. 99-118. 2000\r\n[5]\tV. Chiroi, L. Munteanu, I. Ursu, \u201cOn Chaos Control in Uncertain Nonlinear System\u201d. Computer Modeling in Engineering & Sciences, Vol. 72, No. 3, pp. 229-246, 2011.\r\n[6]\tA. Levant, \u201cHigher-order sliding modes, differentiation and output feedback control\u201d. International journal of control, Vol. 76, NOS 9\/10, 924-941, 2003.\r\n[7]\tA. Levant, \u201cRobust exact differentiation via sliding mode technique\u201d. Automatica, Vol.34, No.3, pp.379-384, 1989.\r\n[8]\tA. Levant, \u201cQuasi continuous high order sliding mode controllers\u201d, IEEE Transactions on Automatic Control, Vol. N\u00b0 11, November 2005.\r\n[9]\tA. Sabanovic, L. M. Fridman, S. Spurgeon, \u201cVariable structure systems: from principles to implementation\u201d, The Institution of Engineering and Technology, 2004.\r\n[10]\tB. Bandyopadhyay, S. Janardhanan, \u201cDiscrete-time Sliding Mode Control: A Multirate Output Feedback Approach\u201d.Springer, 2006.\r\n[11]\tB. Bandy opadhyay, F. Deepak, K. Kyung-Soo, \u201cSliding Mode Control Using Novel Sliding Surfaces\u201d, Springer. 2009.\r\n[12]\tD. Allerton, \u201cPrinciples of flight simulation\u201d, John Wiley and Sons, chap.3, 2009.\r\n[13]\tG. Bartolini, L. Fridman,A. Pisano, E. Usai, \u201cModern Sliding Mode Control Theory: New Perspectives and Applications\u201d, Springer, chap. 4,2008.\r\n[14]\tH. Yigeng, \u201cRobust High Order Sliding Mode Control of Permanent Magnet Synchronous Motors\u201d, Recent Advances in Robust Control - Theory and Applications in Robotics and Electromechanics, InTech., 2011.\r\n[15]\tP. Perruquetti, J. Barbot, \u201cSliding mode control in engineering\u201d, Marcel Dekker, 2000.\r\n[16]\tJ. L. Boiffier, \u201cThe dynamics of flight: the equations\u201d, Willey, pp. 92, 1998.\r\n[17]\tP. Lopez, S. N. Nouri, \u00abTh\u00e9orie \u00e9l\u00e9mentaire et pratique de la commande par les r\u00e9gimes glissants\u00bb, Springer, chap.2, 2000.\r\n[18]\tR. Louali, \u201cReal-time characterization of Microsoft Flight Simulator 2004 for integration into Hardware In the Loop architecture\u201d, 19th Mediterranean Conference on Control and Automation, Greece, 2004.\r\n[19]\tJ. Salgado, \u00abContribution \u00e0 la commande d'un robot sous marin autonome de type torpille\u00bb, Th\u00e8se de Doctorat, Universit\u00e9 de Montpellier, 2004.\r\n[20]\tV. I. Utkin, \u201cSliding Mode in Control Optimization\u201d, Springer-Verlag, Berlin, 1992.\r\n[21]\tB S. Yuri, Y B. Shkolnikov, D J. Mark, \u201cAn second order smooth sliding mode control\u201d, Asian journal of control. Vol. 5, No. 4, pp. 498-504, December 2003.\r\n[22]\tW. Perruquetti, J. P. Barbot, \u201cSliding mode control in engineering\u201d, Marcel Dekker, 2002.\r\n[23]\tM. Zaouche, \u00abIdentification et commande robust d\u2019un engin a\u00e9rodynamique Volant \u00e0 03 axes\u00bb, Th\u00e8se doctorat, Ecole Militaire Polytechnique, Algiers, 2015.\r\n[24]\tAirwrench tool, website: www.mudpond.org\/AirWrench_main.htm, GWBeckwith, 2015.\r\n[25]\tP. Dowson, FSUIPC.dll, website: www.schiratti.com\/dowson.html, 2015.","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 114, 2016"}