Comparison of gradient methods for gain tuning of a PD controller applied on a quadrotor system

Many mechanical and electrical systems have utilized the proportional-integral-derivative (PID) control strategy. The concept of PID control is a classical approach but it is easy to implement and yields a very good tracking performance. Unmanned aerial vehicles (UAVs) are currently experiencing a significant growth in popularity. Due to the advantages of PID controllers, UAVs are implementing PID controllers for improved stability and performance. An important consideration for the system is the selection of PID gain values in order to achieve a safe flight and successful mission. There are a number of different algorithms that can be used for real-time tuning of gains. This paper presents two algorithms for gain tuning, and are based on the method of steepest descent and Newton’s minimization of an objective function. This paper compares the results of applying these two gain tuning algorithms in conjunction with a PD controller on a quadrotor system.

[1]  Youmin Zhang,et al.  Gain Scheduling Based PID Controller for Fault Tolerant Control of a Quad-Rotor UAV , 2010 .

[2]  Kazuya Yoshida,et al.  Collaborative mapping of an earthquake‐damaged building via ground and aerial robots , 2012, J. Field Robotics.

[3]  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).

[4]  Sangdeok Park,et al.  Accurate Modeling and Robust Hovering Control for a Quad–rotor VTOL Aircraft , 2010, J. Intell. Robotic Syst..

[5]  Drago Matko,et al.  Quadrocopter control using an on-board video system with off-board processing , 2012, Robotics Auton. Syst..

[6]  Robert Mahony,et al.  Modelling and control of a large quadrotor robot , 2010 .

[7]  N. Roy,et al.  Autonomous Navigation and Exploration of a Quadrotor Helicopter in GPS-denied Indoor Environments , 2009 .

[8]  T P Blanchett,et al.  PID gain scheduling using fuzzy logic. , 2000, ISA transactions.

[9]  Ümit Özgüner,et al.  Sliding Mode Control of a Quadrotor Helicopter , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.

[10]  Roland Siegwart,et al.  Backstepping and Sliding-mode Techniques Applied to an Indoor Micro Quadrotor , 2005, Proceedings of the 2005 IEEE International Conference on Robotics and Automation.

[11]  Vijay Kumar,et al.  Construction with quadrotor teams , 2012, Auton. Robots.

[12]  E. Altug,et al.  Modeling and PD Control of a Quadrotor VTOL Vehicle , 2007, 2007 IEEE Intelligent Vehicles Symposium.

[13]  O. Nelles,et al.  An Introduction to Optimization , 1996, IEEE Antennas and Propagation Magazine.

[14]  M. Moghavvemi,et al.  Modelling and PID controller design for a quadrotor unmanned air vehicle , 2010, 2010 IEEE International Conference on Automation, Quality and Testing, Robotics (AQTR).

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