Stabilization of PVTOL aircraft by supertwisting algorithms

The paper is devoted to application of sliding mode control technique for stabilization of a planar vertical take-off and landing aircraft. Lateral motion of the autonomous aircraft is considered, containing two planar coordinates of the aircraft center of gravity and one angular coordinate for aircraft attitude. To verify the theoretical statements, simulations in Matlab/Simulink environment have been carried out. The cases of varying degrees of the control channels interference, parametric perturbations, external disturbances as the sums of harmonic signals, and unmodeled dynamics have been studied by a simulation. The case of aircraft control without output signals derivatives measurement was examined. For differentiation, the super-twisting algorithms have been employed. The results obtained show a good system performance.

[1]  A. Levant Robust exact differentiation via sliding mode technique , 1998 .

[2]  Harald Aschemann,et al.  Cascaded flatness-based control of a Duocopter subject to unknown disturbances , 2014, 2014 19th International Conference on Methods and Models in Automation and Robotics (MMAR).

[3]  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.

[4]  Jianliang Wang,et al.  Nonlinear Control Allocation for Non-Minimum Phase Systems , 2009, IEEE Transactions on Control Systems Technology.

[5]  Michael Malisoff,et al.  Tracking control and robustness analysis for planar vertical takeoff and landing aircraft under bounded feedbacks , 2012 .

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

[7]  R. Olfati-Saber Cascade normal forms for underactuated mechanical systems , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[8]  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.

[9]  Joseph Z. Ben-Asher,et al.  Aircraft Pitch Control via Second-Order Sliding Technique , 2000 .

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

[11]  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).

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

[13]  Rogelio Lozano,et al.  Non-linear Control for Underactuated Mechanical Systems , 2001 .

[14]  Arie Levant,et al.  Higher-order sliding modes, differentiation and output-feedback control , 2003 .

[15]  A. Levant Sliding order and sliding accuracy in sliding mode control , 1993 .

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

[17]  N. Harris McClamroch,et al.  Tracking and maneuver regulation control for nonlinear nonminimum phase systems: application to flight control , 2002, IEEE Trans. Control. Syst. Technol..

[18]  Rogelio Lozano,et al.  LINEAR AND NONLINEAR CONTROL STRATEGIES TO STABILIZE A VTOL AIRCRAFT: COMPARATIVE ANALYSIS , 2007 .

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

[20]  Christopher Edwards,et al.  Sliding Mode Control and Observation , 2013 .

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

[22]  Jaime A. Moreno,et al.  A linear framework for the robust stability analysis of a Generalized Super-Twisting Algorithm , 2009, 2009 6th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE).