Robust Adaptive Output Feedback Control for a Class of Underactuated Aerial Vehicles with Input and Output Constraints

This paper addresses the problem of nonlinear robust adaptive output feedback controller for a class of underactuated aerial vehicles with input and output constraints. To solve the problem, the modular design strategy is proposed for the control design. By using the neural networks (NNs) to approximate system uncertainties and observers to reconstruct system states, robust adaptive output feedback controllers are developed. By using a combination of saturation functions and barrier functions, input and output constraints are simultaneously dealt with. The design methodology shows that a cascaded system of an input-to-state stable (ISS) subsystem driven by an ultimate bounded (UB) subsystem enjoys ultimate boundedness property. In addition, the tracking error converges to adjustable neighbourhoods of the origin.

[1]  Keng Peng Tee,et al.  Adaptive Neural Control for Output Feedback Nonlinear Systems Using a Barrier Lyapunov Function , 2010, IEEE Transactions on Neural Networks.

[2]  Shuzhi Sam Ge,et al.  Adaptive Neural Network Control of a Fully Actuated Marine Surface Vessel With Multiple Output Constraints , 2014, IEEE Transactions on Control Systems Technology.

[3]  Haiyan Tu,et al.  Robust Command Filtered Adaptive Backstepping Control for a Quadrotor Aircraft , 2018, J. Control. Sci. Eng..

[4]  Shuzhi Sam Ge,et al.  Trajectory Tracking Control of Quadrotor Aerial Vehicle , 2013, ICONS.

[5]  E. Panteley,et al.  On global uniform asymptotic stability of nonlinear time-varying systems in cascade , 1998 .

[6]  A. Teel Global stabilization and restricted tracking for multiple integrators with bounded controls , 1992 .

[7]  Antonio Loría,et al.  A Separation Principle for Underactuated Lossless Lagrangian Systems , 2017, IEEE Transactions on Automatic Control.

[8]  Lorenzo Marconi,et al.  Robust stabilization via saturated feedback , 2005, IEEE Transactions on Automatic Control.

[9]  Zhi Chen,et al.  Autonomous Trajectory Tracking Control for a Large-Scale Unmanned Helicopter under Airflow Influence , 2019 .

[10]  Francis Eng Hock Tay,et al.  Barrier Lyapunov Functions for the control of output-constrained nonlinear systems , 2009, Autom..

[11]  A. A. ten Dam,et al.  Unsolved problems in mathematical systems and control theory , 2004 .

[12]  Xingling Shao,et al.  Integral Barrier Lyapunov Function Based Saturated Dynamic Surface Control for Vision-Based Quadrotors via Back-Stepping , 2018, IEEE Access.

[13]  Amit Ailon,et al.  Closed-form nonlinear tracking controllers for quadrotors with model and input generator uncertainties , 2015, Autom..

[14]  Shen Yin,et al.  A New Disturbance Attenuation Control Scheme for Quadrotor Unmanned Aerial Vehicles , 2017, IEEE Transactions on Industrial Informatics.

[15]  Lorenzo Marconi,et al.  Robust full degree-of-freedom tracking control of a helicopter , 2007, Autom..

[16]  Pedro Castillo,et al.  A Fractional Nonlinear PI-Structure Control for Robust Attitude Tracking of Quadrotors , 2019, IEEE Transactions on Aerospace and Electronic Systems.

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

[18]  W. F. Phillips,et al.  Review of attitude representations used for aircraft kinematics , 2001 .

[19]  Shuzhi Sam Ge,et al.  Adaptive control of a quadrotor aerial vehicle with input constraints and uncertain parameters , 2018, Int. J. Control.

[20]  Elena Panteley,et al.  Advanced topics in control systems theory : lecture notes from FAP 2004 , 2005 .

[21]  Fernando Reyes-Cortés,et al.  Global Trajectory Tracking Through Static Feedback for Robot Manipulators With Bounded Inputs , 2009, IEEE Transactions on Control Systems Technology.

[22]  Daniele Pucci,et al.  Collocated Adaptive Control of Underactuated Mechanical Systems , 2014, IEEE Transactions on Robotics.

[23]  Michael Z. Q. Chen,et al.  Robust Adaptive Tracking Control for Quadrotors by Combining PI and Self-Tuning Regulator , 2019, IEEE Transactions on Control Systems Technology.

[24]  David Q. Mayne,et al.  Model predictive control: Recent developments and future promise , 2014, Autom..

[25]  Jin Zhang,et al.  Neural-network control of nonaffine nonlinear system with zero dynamics by state and output feedback , 2003, IEEE Trans. Neural Networks.

[26]  S. Ge,et al.  Output feedback adaptive neural control for a class of non-affine non-linear systems with a dynamic gain observer , 2011 .

[27]  Bin Yao,et al.  Global stabilization of a chain of integrators with input saturation and disturbances , 2011, Proceedings of the 2011 American Control Conference.

[28]  A. Isidori,et al.  Passivity, feedback equivalence, and the global stabilization of minimum phase nonlinear systems , 1991 .

[29]  Keng Peng Tee,et al.  Adaptive Neural Network Control for Helicopters in Vertical Flight , 2008, IEEE Transactions on Control Systems Technology.

[30]  Arjan van der Schaft,et al.  Dynamics and control of a class of underactuated mechanical systems , 1999, IEEE Trans. Autom. Control..

[31]  Lorenzo Marconi,et al.  Robust design of nonlinear internal models without adaptation , 2012, Autom..

[32]  Rogelio Lozano,et al.  Quad Rotorcraft Control: Vision-Based Hovering and Navigation , 2012 .

[33]  Pedro Casau,et al.  Global trajectory tracking for a class of underactuated vehicles , 2013, 2013 American Control Conference.

[34]  S. Behtash Robust output tracking for non-linear systems , 1990 .

[35]  Shuzhi Sam Ge,et al.  Adaptive tracking control of uncertain MIMO nonlinear systems with input constraints , 2011, Autom..

[36]  Songyin Cao,et al.  Back-stepping sliding mode control method for quadrotor UAV with actuator failure , 2019 .

[37]  Guilherme V. Raffo,et al.  An integral predictive/nonlinear Hinfinity control structure for a quadrotor helicopter , 2010, Autom..

[38]  Marko Bacic,et al.  Model predictive control , 2003 .