Stabilization of the PVTOL aircraft based on a sliding mode and a saturation function

Summary This study presents a feedback control strategy for the regulation of a planar vertical takeoff and landing aircraft. To this end, two controllers that work simultaneously were designed. The first controller is devoted to stabilizing the vertical variable and is based on a simple feedback-linearization procedure in combination with a saturation function. The second controller – based on a combination of the traditionally PD-controller and a sliding mode controller – stabilizes both the horizontal and angular variables to the desired rest position. The performance of the closed-loop system is demonstrated through simulation results. Copyright © 2016 John Wiley & Sons, Ltd.

[1]  Ian Postlethwaite,et al.  Robust Variable Structure Control of a PVTOL Aircraft , 1997, Int. J. Syst. Sci..

[2]  Rogelio Lozano,et al.  Global stabilization of a PVTOL aircraft model with bounded inputs , 2003 .

[3]  Feng Lin,et al.  Robust hovering control of a PVTOL aircraft , 1999, IEEE Trans. Control. Syst. Technol..

[4]  A. Teel A nonlinear small gain theorem for the analysis of control systems with saturation , 1996, IEEE Trans. Autom. Control..

[5]  Vadim I. Utkin,et al.  Adaptive sliding mode control with application to super-twist algorithm: Equivalent control method , 2013, Autom..

[6]  S. Shankar Sastry,et al.  Nonlinear control design for slightly non-minimum phase systems: Application to V/STOL aircraft , 1992, Autom..

[7]  Reza Olfati-Saber Global configuration stabilization for the VTOL aircraft with strong input coupling , 2002, IEEE Trans. Autom. Control..

[8]  Leonid M. Fridman,et al.  Two-Stage Neural Observer for Mechanical Systems , 2008, IEEE Transactions on Circuits and Systems II: Express Briefs.

[9]  K. Yuan,et al.  Output tracking of a non-linear non-minimum phase PVTOL aircraft based on non-linear state feedback control , 2002 .

[10]  Rogelio Lozano,et al.  A SIMPLE STABILIZATION ALGORITHM FOR THE PVTOL AIRCRAFT , 2002 .

[11]  Mário Sarcinelli Filho,et al.  PVTOL maneuvers guided by a high-level nonlinear controller applied to a rotorcraft machine , 2014, Eur. J. Control.

[12]  R. Mehra,et al.  Passivity based controller for underactuated PVTOL system , 2013, 2013 IEEE International Conference on Electronics, Computing and Communication Technologies.

[13]  Guo-Ping Liu,et al.  Stabilization of complex cascade systems using boundedness information in finite time , 2009 .

[14]  Luca Consolini,et al.  Path following for the PVTOL: A set stabilization approach , 2008, 2008 47th IEEE Conference on Decision and Control.

[15]  Rogelio Lozano,et al.  Control strategy using vision for the stabilization of an experimental PVTOL aircraft setup , 2005, IEEE Trans. Control. Syst. Technol..

[16]  Kai-Yew Lum,et al.  Output trajectory tracking for the PVTOL aircraft through control allocation , 2007, 2007 IEEE International Conference on Control Applications.

[17]  Francesco Bullo,et al.  Constructive controllability algorithms for motion planning and optimization , 2003, IEEE Trans. Autom. Control..

[18]  David Lara Alabazares,et al.  Robust Control Design Techniques Using Differential Evolution Algorithms Applied to the PVTOL , 2014, Intell. Autom. Soft Comput..

[19]  M. Fliess,et al.  Regulation of non-minimum phase outputs in a PVTOL aircraft , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).

[20]  Alessandro Astolfi,et al.  Interconnection and damping assignment passivity-based control of mechanical systems with underactuation degree one , 2004, Proceedings of the 2004 American Control Conference.

[21]  Christopher Edwards,et al.  On Output Tracking Using Dynamic Output Feedback Discrete-Time Sliding Mode Controllers , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[22]  B. Paden,et al.  A different look at output tracking: control of a VTOL aircraft , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[23]  Rohin Wood,et al.  An Alternative Nonlinear Control Law for the Global Stabilization of the PVTOL Vehicle , 2007, IEEE Transactions on Automatic Control.

[24]  John R. Hauser,et al.  Trajectory Manifold Exploration for the PVTOL aircraft , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[25]  Michael Malisoff,et al.  On tracking for the PVTOL model with bounded feedbacks , 2011, Proceedings of the 2011 American Control Conference.

[26]  Pang-Chia Chen,et al.  ROBUST GAIN-SCHEDULED CONTROL OF A VERTICAL TAKEOFF AIRCRAFT WITH ACTUATOR SATURATION VIA THE LMI METHOD , 2008 .

[27]  Leonid Fridman,et al.  Finite-time convergence analysis for “Twisting” controller via a strict Lyapunov function , 2010, 2010 11th International Workshop on Variable Structure Systems (VSS).

[28]  Murat Arcak,et al.  Constructive nonlinear control: a historical perspective , 2001, Autom..

[29]  G. Scaglia,et al.  Trajectory Tracking Control of a PVTOL Aircraft Based on Linear Algebra Theory , 2014 .

[30]  Luis T. Aguilar,et al.  Output feedback sliding mode control of a PVTOL including actuators dynamics , 2011, 2011 IEEE International Conference on Control Applications (CCA).

[31]  Shihua Li,et al.  Global finite-time stabilization of a PVTOL aircraft by output feedback , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[32]  Alexander S. Poznyak,et al.  Lyapunov function design for finite-time convergence analysis: "Twisting" controller for second-order sliding mode realization , 2009, Autom..

[33]  Nicolas Marchand,et al.  Global discrete-time stabilization of the PVTOL aircraft based on fast predictive control , 2008 .