Adaptive tracking control of an underactuated aerial vehicle

In this paper, adaptive tracking control of an underactuated quadrotor is addressed. Position and yaw trajectory tracking is designed using state feedback control system and an integrator backstepping approach is applied to this coupled and cascaded dynamic system. The control design is further complicated by considering the parametric uncertainty of the dynamic modeling of the quadrotor aerial-robot vehicle. Projection-based adaptive control schemes are then designed to estimate the unknown parameters. Lyapunov-type stability analysis and numerical simulation results which yields a bounded tracking result are shown to demonstrate the initial validity of the proposed controllers.

[1]  Emilio Frazzoli,et al.  Trajectory tracking control design for autonomous helicopters using a backstepping algorithm , 2000, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[2]  Warren E. Dixon,et al.  Nonlinear Control of Engineering Systems: A Lyapunov-Based Approach , 2003 .

[3]  T. Madani,et al.  Adaptive Control via Backstepping Technique and Neural Networks of a Quadrotor Helicopter , 2008 .

[4]  Warren E. Dixon,et al.  Nonlinear Control of Engineering Systems , 2002 .

[5]  Randal W. Beard,et al.  Trajectory tracking for unmanned air vehicles with velocity and heading rate constraints , 2004, IEEE Transactions on Control Systems Technology.

[6]  João P. Hespanha,et al.  Trajectory-Tracking and Path-Following of Underactuated Autonomous Vehicles With Parametric Modeling Uncertainty , 2007, IEEE Transactions on Automatic Control.

[7]  Thor I. Fossen,et al.  Marine Control Systems Guidance, Navigation, and Control of Ships, Rigs and Underwater Vehicles , 2002 .

[8]  Dario Floreano,et al.  Quadrotor Using Minimal Sensing For Autonomous Indoor Flight , 2007 .

[9]  R. Lozano,et al.  Simple Real-time Attitude Stabilization of a Quad-rotor Aircraft With Bounded Signals , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.

[10]  Jian Chen,et al.  Vision Assisted Autonomous Landing of an Unmanned Aerial Vehicle. , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[11]  Claire J. Tomlin,et al.  Longitudinal Stability Augmentation System Design for the DragonFly UAV Using a Single GPS Receiver , 2003 .

[12]  Roland Siegwart,et al.  PID vs LQ control techniques applied to an indoor micro quadrotor , 2004, 2004 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS) (IEEE Cat. No.04CH37566).

[13]  L. Praly,et al.  Adaptive nonlinear regulation: estimation from the Lyapunov equation , 1992 .

[14]  D. Mayne Nonlinear and Adaptive Control Design [Book Review] , 1996, IEEE Transactions on Automatic Control.

[15]  P. Olver Nonlinear Systems , 2013 .

[16]  Abdelaziz Benallegue,et al.  Dynamic feedback controller of Euler angles and wind parameters estimation for a quadrotor unmanned aerial vehicle , 2004, IEEE International Conference on Robotics and Automation, 2004. Proceedings. ICRA '04. 2004.

[17]  Robert E. Mahony,et al.  Control of a quadrotor helicopter using visual feedback , 2002, Proceedings 2002 IEEE International Conference on Robotics and Automation (Cat. No.02CH37292).

[18]  Bin Xian,et al.  Output Feedback Tracking Control of an Underactuated Quad-Rotor UAV , 2007, 2007 American Control Conference.

[19]  Rogelio Lozano,et al.  DYNAMIC MODELLING AND CONFIGURATION STABILIZATION FOR AN X4-FLYER. , 2002 .

[20]  S. Shankar Sastry,et al.  LANDING AN UNMANNED AIR VEHICLE: VISION BASED MOTION ESTIMATION AND NONLINEAR CONTROL , 1999 .