Damping control of a quadrotor with swinging load using input shaping method

This paper presents the designing and simulation of a swing reducing controller for a quadrotor with a swing load system using an input shaping theory. The input shaping controller is a feed-forward controller that is added to reduce oscillations of the swinging load by improving the damping characteristics of pendulum modes. Simulations are presented and it is shown that a significant improvement of the oscillation behavior can be achieved.

[1]  Markus Hehn,et al.  A flying inverted pendulum , 2011, 2011 IEEE International Conference on Robotics and Automation.

[2]  Otto J. M. Smith Posicast Control of Damped Oscillatory Systems , 1957, Proceedings of the IRE.

[3]  Jason Lawrence,et al.  Command Shaping for Nonlinear Crane Dynamics , 2010 .

[4]  Rafael Fierro,et al.  Trajectory generation for swing-free maneuvers of a quadrotor with suspended payload: A dynamic programming approach , 2012, 2012 IEEE International Conference on Robotics and Automation.

[5]  Vaibhav Ghadiok,et al.  Autonomous indoor aerial gripping using a quadrotor , 2011, 2011 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[6]  Hai Lin,et al.  Switching Stabilizability for Continuous-Time Uncertain Switched Linear Systems , 2007, IEEE Transactions on Automatic Control.

[7]  Ahmad Mohd Ashraf,et al.  HYBRID INPUT SHAPING AND PID CONTROL OF A FLEXIBLE ROBOT MANIPULATOR , 2009 .

[8]  Kristen Andrea Bohlke Using input shaping to minimize residual vibration in flexible space structures , 1995 .

[9]  Jeslin Thalapil Input Shaping for Sway Control in Gantry Cranes , 2012 .

[10]  Vijay Kumar,et al.  Cooperative manipulation and transportation with aerial robots , 2009, Auton. Robots.

[11]  Aaron M. Dollar,et al.  Grasping from the air: Hovering capture and load stability , 2011, 2011 IEEE International Conference on Robotics and Automation.

[12]  Nathan van de Wouw,et al.  Stability Analysis of Networked Control Systems Using a Switched Linear Systems Approach , 2011, IEEE Trans. Autom. Control..

[13]  M. A. Minor,et al.  An Avian-Inspired Passive Mechanism for Quadrotor Perching , 2013, IEEE/ASME Transactions on Mechatronics.

[14]  Hanyong Shao,et al.  New delay-dependent stability criteria for systems with interval delay , 2009, Autom..

[15]  Xun-lin Zhu,et al.  Brief paper New stability criteria for continuous-time systems with interval time-varying delay , 2010 .

[16]  Wen-an Zhang,et al.  Modelling and control of networked control systems with both network-induced delay and packet-dropout , 2008, Autom..

[17]  Vijay Kumar,et al.  Trajectory generation and control of a quadrotor with a cable-suspended load - A differentially-flat hybrid system , 2013, 2013 IEEE International Conference on Robotics and Automation.

[18]  Tsutomu Mita,et al.  Optimal Control of the Crane System Using the Maximum Speed of the Trolley , 1979 .

[19]  Qing-Guo Wang,et al.  Delay-range-dependent stability for systems with time-varying delay , 2007, Autom..

[20]  Ho-Hoon Lee,et al.  Modeling and Control of a Three-Dimensional Overhead Crane , 1998 .

[21]  Michael Valášek,et al.  Input shaping control with reentry commands of prescribed duration , 2008 .

[22]  Frank L. Lewis,et al.  Nonlinear feedback control of a gantry crane , 1995, Proceedings of 1995 American Control Conference - ACC'95.

[23]  Vijay Kumar,et al.  Recent advances in quadrotor capabilities , 2011, 2011 IEEE International Conference on Robotics and Automation.

[24]  Jie Chen,et al.  Stability analysis of particle swarm optimization without Lipschitz constraint , 2003 .

[25]  Weimin Ge,et al.  Modeling and H∞ Robust Control for Mobile Robot , 2008, 2008 IEEE Conference on Robotics, Automation and Mechatronics.

[26]  Long Wang,et al.  Switched system approach to stabilization of networked control systems , 2011 .

[27]  M. Kenison,et al.  Input shaper design for double-pendulum planar gantry cranes , 1999, Proceedings of the 1999 IEEE International Conference on Control Applications (Cat. No.99CH36328).

[28]  Paul Y. Oh,et al.  Designing a system for mobile manipulation from an Unmanned Aerial Vehicle , 2011, 2011 IEEE Conference on Technologies for Practical Robot Applications.

[29]  Hai Lin,et al.  Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results , 2009, IEEE Transactions on Automatic Control.

[30]  Guangming Xie,et al.  A switched system approach to stabilization of networked control systems , 2006 .

[31]  Paul Y. Oh,et al.  Development of Autonomous Cargo Transport for an Unmanned Aerial Vehicle Using Visual Servoing , 2008 .

[32]  Neil C. Singer,et al.  Residual Vibration Reduction in Computer controlled Machines , 1989 .