Controllability analysis and controller design for variable‐pitch propeller quadcopters with one propeller failure

Correspondence Shiyu Zhao, School of Engineering, Westlake University, Hangzhou, China. Email: zhaoshiyu@westlake.edu.cn This article studies a relatively new type of aerial platform: variable-pitch propeller (VPP) quadcopters. Unlike conventional fixed-pitch propellers that can only generate upward thrust forces, a VPP can adjust its pitch angle to generate either upward or downward thrust forces. This provides VPP quadcopter with high agility and strong maneuverability. Although VPP quadcopters have attracted some attention recently, their potential has not been fully explored yet. In this article, we study the fault-tolerant property of VPP quadcopters when one of the four VPPs fails to provide any forces or torques. We identify the equilibrium state in this case and conduct the controllability analysis based on a linearized model. This shows that the system remains controllable even if one propeller fails. As a result, simple linear-quadratic regulator controllers can be used to control the platform. Although the controllability analysis and controller are based on the linearized model, numerical simulation incorporating measurement noises and external disturbances verifies the theoretic findings.

[1]  Shouzhao Sheng,et al.  Control and Optimization of a Variable-Pitch Quadrotor with Minimum Power Consumption , 2016 .

[2]  Jonathan P. How,et al.  Actuator Constrained Trajectory Generation and Control for Variable-Pitch Quadrotors , 2012 .

[3]  Jianda Han,et al.  Self-Healing Control Design under Actuator Fault Occurrence on Single-rotor Unmanned Helicopters , 2016, J. Intell. Robotic Syst..

[4]  Youmin Zhang,et al.  Bibliographical review on reconfigurable fault-tolerant control systems , 2003, Annu. Rev. Control..

[5]  Daniel Boley,et al.  Computing the Kalman decomposition: An optimal method , 1984 .

[6]  Youmin Zhang,et al.  Active fault‐tolerant control system design with trajectory re‐planning against actuator faults and saturation: Application to a quadrotor unmanned aerial vehicle , 2015 .

[7]  Raffaello D'Andrea,et al.  Relaxed hover solutions for multicopters: Application to algorithmic redundancy and novel vehicles , 2016, Int. J. Robotics Res..

[8]  Mangal Kothari,et al.  Flight dynamics and nonlinear control design for variable-pitch quadrotors , 2016, 2016 American Control Conference (ACC).

[9]  Jonathan P. How,et al.  Analysis and Control of a Variable-Pitch Quadrotor for Agile Flight , 2015 .

[10]  Hassan Noura,et al.  Emergency Control of AR Drone Quadrotor UAV Suffering a Total Loss of One Rotor , 2017, IEEE/ASME Transactions on Mechatronics.

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

[12]  Youmin Zhang,et al.  A Learning-Based Fault Tolerant Tracking Control of an Unmanned Quadrotor Helicopter , 2015, Journal of Intelligent & Robotic Systems.

[13]  Mien Van,et al.  An Enhanced Robust Fault Tolerant Control Based on an Adaptive Fuzzy PID-Nonsingular Fast Terminal Sliding Mode Control for Uncertain Nonlinear Systems , 2018, IEEE/ASME Transactions on Mechatronics.

[14]  Sauro Longhi,et al.  A Feedback Linearization Approach to Fault Tolerance in Quadrotor Vehicles , 2011 .

[15]  Raffaello D'Andrea,et al.  Stability and control of a quadrocopter despite the complete loss of one, two, or three propellers , 2014, 2014 IEEE International Conference on Robotics and Automation (ICRA).

[16]  Wei Zhang,et al.  Active fault-tolerant tracking control of a quadrotor with model uncertainties and actuator faults , 2019, Frontiers of Information Technology & Electronic Engineering.

[17]  Youmin Zhang,et al.  Fault tolerant control of a quadrotor UAV using sliding mode control , 2010, 2010 Conference on Control and Fault-Tolerant Systems (SysTol).

[18]  Vijay Kumar,et al.  Influence of Aerodynamics and Proximity Effects in Quadrotor Flight , 2012, ISER.

[19]  Jonathan P. How,et al.  Comparison of Fixed and Variable Pitch Actuators for Agile Quadrotors , 2011 .

[20]  Philippe Martin,et al.  The role of propeller aerodynamics in the model of a quadrotor UAV , 2009, 2009 European Control Conference (ECC).