Path Following Control of Quadrotor UAV With Continuous Fractional-Order Super Twisting Sliding Mode

Quadrotors are highly maneuverable drones, which are susceptible to the parameter uncertainties such as the mass, drag coefficients, and moment of inertia. Whose nonlinearities, aerodynamic disturbances, and higher coupling between the rotational and the translational dynamics stand for a problem that demands a robust controller. In the present paper, a fractional order (FO) improved super twisting proportional-integral-derivative sliding-mode control (STPIDSMC) is proposed for the quadrotor system. To improve the speed tracking performance, a FOPIDSM surface is designed. Moreover, the proposed FO control approach ensures fast convergence, high precision, good robustness against stochastic perturbations and uncertainties. Finally, the performance of the FOSTPIDSMC is investigated under different scenarios. The simulation results clearly show the high control performance, efficiency and high disturbance rejection capacity of the controller strategy proposed in this work in comparison with the nonlinear internal model control (NLIMC) and FO backstepping sliding mode control (FOBSMC) strategies.

[1]  Changchun Hua,et al.  Fractional-order sliding mode control of uncertain QUAVs with time-varying state constraints , 2018, Nonlinear Dynamics.

[2]  Mostafa Hassanalian,et al.  Classifications, applications, and design challenges of drones: A review , 2017 .

[3]  José Luis Gordillo,et al.  Spatial Modeling and Robust Flight Control Based on Adaptive Sliding Mode Approach for a Quadrotor MAV , 2019, J. Intell. Robotic Syst..

[4]  Moussa Labbadi,et al.  Robust Integral Terminal Sliding Mode Control for Quadrotor UAV with External Disturbances , 2019, International Journal of Aerospace Engineering.

[5]  M. Cherkaoui,et al.  A Comparative Analysis of Control Strategies for Stabilizing a Quadrotor , 2018, Information Systems and Technologies to Support Learning.

[6]  Chao Deng,et al.  Adaptive fuzzy global sliding mode control for trajectory tracking of quadrotor UAVs , 2019, Nonlinear Dynamics.

[7]  Moussa Labbadi,et al.  Robust adaptive backstepping fast terminal sliding mode controller for uncertain quadrotor UAV , 2019, Aerospace Science and Technology.

[8]  Yuanqing Xia,et al.  Active Disturbance Rejection Attitude Control for a Dual Closed-Loop Quadrotor Under Gust Wind , 2018, IEEE Transactions on Control Systems Technology.

[9]  Youmin Zhang,et al.  Flatness-Based Trajectory Planning/Replanning for a Quadrotor Unmanned Aerial Vehicle , 2012, IEEE Transactions on Aerospace and Electronic Systems.

[10]  I. Podlubny Fractional differential equations , 1998 .

[11]  Rogelio Lozano,et al.  Second order sliding mode controllers for altitude control of a quadrotor UAS: Real-time implementation in outdoor environments , 2017, Neurocomputing.

[12]  Mehmet Önder Efe,et al.  Neural Network Assisted Computationally Simple PI$^\lambda$D$^\mu$ Control of a Quadrotor UAV , 2011, IEEE Transactions on Industrial Informatics.

[13]  Bai Chen,et al.  A new continuous fractional-order nonsingular terminal sliding mode control for cable-driven manipulators , 2018, Adv. Eng. Softw..

[14]  Sudhir Agashe,et al.  Review of fractional PID controller , 2016 .

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

[16]  Marco A. Moreno-Armendáriz,et al.  The trajectory tracking problem for an unmanned four-rotor system: flatness-based approach , 2012, Int. J. Control.

[17]  Antonio Franchi,et al.  Adaptive Trajectory Tracking for Quadrotor MAVs in Presence of Parameter Uncertainties and External Disturbances , 2018, IEEE Transactions on Control Systems Technology.

[18]  Mahdi Khodabandeh,et al.  Adaptive fractional order sliding mode control for a quadrotor with a varying load , 2019, Aerospace Science and Technology.

[19]  Hadi Razmi,et al.  Neural network-based adaptive sliding mode control design for position and attitude control of a quadrotor UAV , 2019, Aerospace Science and Technology.

[20]  Yaoyao Wang,et al.  Adaptive super-twisting fractional-order nonsingular terminal sliding mode control of cable-driven manipulators. , 2019, ISA transactions.

[21]  Yasuhiro Ohyama,et al.  Disturbance suppression for quadrotor UAV using sliding-mode-observer-based equivalent-input-disturbance approach. , 2019, ISA transactions.

[22]  Yasmina Bestaoui,et al.  Nonlinear internal model control applied to VTOL multi-rotors UAV , 2017 .

[23]  Yang Shi,et al.  Integral Sliding Mode Flight Controller Design for a Quadrotor and the Application in a Heterogeneous Multi-Agent System , 2017, IEEE Transactions on Industrial Electronics.

[24]  Bingxian Mu,et al.  Cooperative control of quadrotors and mobile robots: controller design and experiments , 2017 .

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

[26]  Bing Zhu,et al.  Adaptive trajectory tracking controller for quadrotor systems subject to parametric uncertainties , 2017, J. Frankl. Inst..

[27]  Hamid Reza Karimi,et al.  SPECIAL ISSUE ON ‘SMC based observation, identification, uncertainties compensation and fault detection’ , 2019, Asian Journal of Control.

[28]  Yibin Li,et al.  Robust tracking control strategy for a quadrotor using RPD-SMC and RISE , 2019, Neurocomputing.

[29]  Yisheng Zhong,et al.  Robust Attitude Stabilization for Nonlinear Quadrotor Systems With Uncertainties and Delays , 2017, IEEE Transactions on Industrial Electronics.

[30]  Leonid M. Fridman,et al.  Super twisting control algorithm for the attitude tracking of a four rotors UAV , 2012, J. Frankl. Inst..

[31]  Jing Wang,et al.  Fractional order sliding mode control via disturbance observer for a class of fractional order systems with mismatched disturbance, , 2018, Mechatronics.

[32]  Pedro Castillo,et al.  Attitude control of quadrotors based on fractional sliding modes: theory and experiments , 2016 .

[33]  Nardênio Almeida Martins,et al.  A Simple Optimization Method for Tuning the Gains of PID Controllers for the Autopilot of Cessna 182 Aircraft Using Model-in-the-Loop Platform , 2018, Journal of Control, Automation and Electrical Systems.

[34]  Yaonan Wang,et al.  Adaptive RBFNNs/integral sliding mode control for a quadrotor aircraft , 2016, Neurocomputing.

[35]  Rita Cunha,et al.  Robust Landing and Sliding Maneuver Hybrid Controller for a Quadrotor Vehicle , 2016, IEEE Transactions on Control Systems Technology.

[36]  Xiaohong Nian,et al.  Robust guaranteed cost tracking control of quadrotor UAV with uncertainties. , 2017, ISA transactions.

[37]  Shouming Zhong,et al.  Fractional-order sliding mode based extremum seeking control of a class of nonlinear systems , 2014, Autom..

[38]  Héctor Ríos,et al.  Continuous Sliding-Mode Control Strategies for Quadrotor Robust Tracking: Real-Time Application , 2019, IEEE Transactions on Industrial Electronics.

[39]  Eduard Petlenkov,et al.  FOMCON: Fractional-order modeling and control toolbox for MATLAB , 2011, Proceedings of the 18th International Conference Mixed Design of Integrated Circuits and Systems - MIXDES 2011.

[40]  Yisheng Zhong,et al.  Robust Three-Loop Trajectory Tracking Control for Quadrotors With Multiple Uncertainties , 2016, IEEE Transactions on Industrial Electronics.

[41]  M. Badamchizadeh,et al.  Adaptive fractional-order non-singular fast terminal sliding mode control for robot manipulators , 2016 .

[42]  Rita Cunha,et al.  A robust landing and sliding maneuver controller for a quadrotor vehicle on a sloped incline , 2014, 2014 IEEE International Conference on Robotics and Automation (ICRA).

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

[44]  Moussa Labbadi,et al.  Novel robust super twisting integral sliding mode controller for a quadrotor under external disturbances , 2020 .

[45]  Mehdi Zareb,et al.  Full Control of Quadrotor Aerial Robot Using Fractional-Order FOPID , 2018, Iranian Journal of Science and Technology, Transactions of Electrical Engineering.

[46]  Guangming Xie,et al.  Hybrid finite-time trajectory tracking control of a quadrotor. , 2019, ISA transactions.

[47]  Inna Sharf,et al.  A constrained error-based MPC for path following of quadrotor with stability analysis , 2020, Nonlinear Dynamics.

[48]  Bijan Shirinzadeh,et al.  Nonlinear Multiple Integrator and Application to Aircraft Navigation , 2014, IEEE Transactions on Aerospace and Electronic Systems.

[49]  Yong-An Zhang,et al.  Almost-Global Finite-Time Trajectory Tracking Control for Quadrotors in the Exponential Coordinates , 2017, IEEE Transactions on Aerospace and Electronic Systems.

[50]  Mirza Tariq Hamayun,et al.  Quadrotor Control Via Robust Generalized Dynamic Inversion and Adaptive Non‐Singular Terminal Sliding Mode , 2019 .

[51]  Yisheng Zhong,et al.  Robust Control for Quadrotors With Multiple Time-Varying Uncertainties and Delays , 2017, IEEE Transactions on Industrial Electronics.

[52]  Yong Zhang,et al.  Learning-Based Robust Tracking Control of Quadrotor With Time-Varying and Coupling Uncertainties , 2020, IEEE Transactions on Neural Networks and Learning Systems.

[53]  Ali Karimpour,et al.  Robust position-based impedance control of lightweight single-link flexible robots interacting with the unknown environment via a fractional-order sliding mode controller , 2018, Robotica.

[54]  Saleh Mobayen,et al.  Adaptive sliding mode control for finite-time stability of quad-rotor UAVs with parametric uncertainties. , 2017, ISA transactions.

[55]  Changchun Hua,et al.  Tracking differentiator and extended state observer-based nonsingular fast terminal sliding mode attitude control for a quadrotor , 2018, Nonlinear Dynamics.

[56]  Gang Zheng,et al.  Model-free–based terminal SMC of quadrotor attitude and position , 2016, IEEE Transactions on Aerospace and Electronic Systems.

[57]  Xiaolin Ai,et al.  Fixed-time trajectory tracking for a quadrotor with external disturbances: A flatness-based sliding mode control approach , 2019, Aerospace Science and Technology.

[58]  Gang Tao,et al.  A novel nonlinear resilient control for a quadrotor UAV via backstepping control and nonlinear disturbance observer , 2016 .

[59]  V. Parra-Vega,et al.  Fractional-Order Control for Robust Position/Yaw Tracking of Quadrotors With Experiments , 2019, IEEE Transactions on Control Systems Technology.

[60]  Moussa Labbadi,et al.  Robust adaptive nonsingular fast terminal sliding-mode tracking control for an uncertain quadrotor UAV subjected to disturbances. , 2019, ISA transactions.

[61]  Sara Dadras,et al.  Design of Fractional‐Order Backstepping Sliding Mode Control for Quadrotor UAV , 2018, Asian Journal of Control.

[62]  Jianqiao Yu,et al.  Flatness-based finite-time leader–follower formation control of multiple quadrotors with external disturbances , 2019, Aerospace Science and Technology.

[63]  Vicente Parra-Vega,et al.  Fractional attitude-reactive control for robust quadrotor position stabilization without resolving underactuation , 2016 .

[64]  Xin-Ping Guan,et al.  Adaptive prescribed performance control of QUAVs with unknown time-varying payload and wind gust disturbance , 2018, J. Frankl. Inst..

[65]  Chih-Hung Chang,et al.  Precision Motion Control of Permanent Magnet Linear Synchronous Motors Using Adaptive Fuzzy Fractional-Order Sliding-Mode Control , 2019, IEEE/ASME Transactions on Mechatronics.

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

[67]  Zongyu Zuo,et al.  Augmented L1 adaptive tracking control of quad-rotor unmanned aircrafts , 2014, IEEE Transactions on Aerospace and Electronic Systems.

[68]  Moussa Labbadi,et al.  Modeling and Robust Integral Sliding Mode Control for a Quadrotor Unmanned Aerial Vehicle , 2018, 2018 6th International Renewable and Sustainable Energy Conference (IRSEC).