Adaptive fractional order sliding mode control for a quadrotor with a varying load

Abstract Due to their high maneuverability, quadrotors are very suitable vehicles for displacement of loads. Even so, loads can cause overweight that acts as a disturbance in momentums of inertia of quadrotor. As a result, the performance of quadrotor in path tracking will be negatively affected. In this paper, a fractional order sliding mode controller based on back-stepping method is designed to attenuate wind disturbance and effects of variations in load and momentums of inertia. The amount of load is estimated by considering an adaptive correcting coefficient in mass parameter of quadrotor, to allow the quadrotor to track the ideal path in the presence of such disturbances. Then, by using numerical simulation, the robustness of the proposed controller is shown in face of the disturbances.

[1]  L. Wang,et al.  Fuzzy systems are universal approximators , 1992, [1992 Proceedings] IEEE International Conference on Fuzzy Systems.

[2]  Li Rui,et al.  Fractional PID and backstepping control for a small quadrotor helicopter , 2015, 2015 34th Chinese Control Conference (CCC).

[3]  Daksh Shukla,et al.  Modeling and flight control of a commercial nano quadrotor , 2017, 2017 International Conference on Unmanned Aircraft Systems (ICUAS).

[4]  Jie Geng,et al.  Time-varying nonsingular terminal sliding mode control for robot manipulators , 2014 .

[5]  En-Hui Zheng,et al.  Position and attitude tracking control for a quadrotor UAV. , 2014, ISA transactions.

[6]  Xin Guo,et al.  Transient interference excision in over-the-horizon radar using adaptive time-frequency analysis , 2005, IEEE Transactions on Geoscience and Remote Sensing.

[7]  Xiaolin Ai,et al.  Integral backstepping sliding mode control for quadrotor helicopter under external uncertain disturbances , 2017 .

[8]  Farid Kendoul,et al.  Survey of advances in guidance, navigation, and control of unmanned rotorcraft systems , 2012, J. Field Robotics.

[9]  Mehmet Önder Efe,et al.  Battery power loss compensated fractional order sliding mode control of a quadrotor UAV , 2012 .

[10]  N. Laskin Fractional market dynamics , 2000 .

[11]  Mehmet Önder Efe,et al.  Fractional Fuzzy Adaptive Sliding-Mode Control of a 2-DOF Direct-Drive Robot Arm , 2008, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[12]  Alireza Modirrousta,et al.  A novel nonlinear hybrid controller design for an uncertain quadrotor with disturbances , 2015 .

[13]  Jafar Roshanian,et al.  An Optimal Guidance Law Applied to Quadrotor Using LQR Method , 2010 .

[14]  Dennis S. Bernstein,et al.  Adaptive control of a quadrotor UAV transporting a cable-suspended load with unknown mass , 2014, 53rd IEEE Conference on Decision and Control.

[15]  Roland Siegwart,et al.  Full control of a quadrotor , 2007, 2007 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[16]  Gang Tao,et al.  Robust Backstepping Sliding-Mode Control and Observer-Based Fault Estimation for a Quadrotor UAV , 2016, IEEE Transactions on Industrial Electronics.

[17]  Paul Ortiz,et al.  Trajectory tracking of a quadrotor using sliding mode control , 2016, IEEE Latin America Transactions.

[18]  Zhuangde Jiang,et al.  Nonlinear dynamic analysis of fractional order rub-impact rotor system , 2011 .

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

[20]  Shaher Momani,et al.  An approximate solution of a fractional order differential equation model of human T-cell lymphotropic virus I (HTLV-I) infection of CD4+ T-cells , 2011, Comput. Math. Appl..

[21]  Markus Kästner,et al.  A nonlinear fractional viscoelastic material model for polymers , 2011 .

[22]  S. Das,et al.  Functional Fractional Calculus for System Identification and Controls , 2007 .

[23]  Meeko M. K. Oishi,et al.  Lift of a cable-suspended load by a quadrotor: A hybrid system approach , 2015, 2015 American Control Conference (ACC).

[24]  Roger Miranda-Colorado,et al.  Reduction of power consumption on quadrotor vehicles via trajectory design and a controller-gains tuning stage , 2018, Aerospace Science and Technology.

[25]  Sebastian Madgwick,et al.  Estimation of IMU and MARG orientation using a gradient descent algorithm , 2011, 2011 IEEE International Conference on Rehabilitation Robotics.

[26]  V. Gafiychuk,et al.  Mathematical modeling of time fractional reaction-diffusion systems , 2008 .

[27]  Pablo J. Zarco-Tejada,et al.  Thermal and Narrowband Multispectral Remote Sensing for Vegetation Monitoring From an Unmanned Aerial Vehicle , 2009, IEEE Transactions on Geoscience and Remote Sensing.

[28]  Yaoyao Wang,et al.  Practical Tracking Control of Robot Manipulators With Continuous Fractional-Order Nonsingular Terminal Sliding Mode , 2016, IEEE Transactions on Industrial Electronics.

[29]  En-hui Zheng,et al.  Second order sliding mode control for a quadrotor UAV. , 2014, ISA transactions.

[30]  Mingwei Sun,et al.  A novel control scheme for quadrotor UAV based upon active disturbance rejection control , 2018, Aerospace Science and Technology.

[31]  M. Ezzat Theory of fractional order in generalized thermoelectric MHD , 2011 .