Quad-Rotor Airship Modeling and Simulation Based on Backstepping Control

Firstly, a novel structure of indoor quad-rotor airship is proposed to overcome the traditional indoor airship shortcomings such as poor balance and lack of buoyancy in this paper. The kinetic model is established according to the design structure and flight characteristics by the principle of Newtonian mechanics and the laws of physics. The force analysis on the quad-rotor airship, including gravity, buoyancy, aerodynamic, wind resistance, propeller force, etc. Secondly, binding Kinetics model, the outer loop position controller and the inner loop attitude controller are designed based on the PID control algorithm. The outer loop position controller includes instantaneous position and velocity, while the inner loop attitude controller includes body angular velocity, Euler angular velocity and Euler angles. The simulation platform is designed by using Matlab/Simulink. The simulation results demonstrate the correctness of the dynamic model and the effectiveness of the control method. Finally, according to the PID’s effect on time-varying system and nonlinear system is not very well perfect, we adopted Lyapunov stability theorem and backstepping algorithm to design the controller and divides the whole system into two return circuits and each circuit are divided into three second-order systems which reduce order number of controller effectively. And the control algorithm achieved good results.

[1]  Eryk Nice Design of a Four Rotor Hovering Vehicle , 2004 .

[2]  Mohammad Reza Asharif,et al.  Design of Loop-Shaping and Internal Model Controller for Unstable and Communication Delay System , 2011 .

[3]  Om Hari Gupta,et al.  High Performance Fuzzy Adaptive PID Speed Control of a Converter Driven DC Motor , 2012 .

[4]  Yueming Hu,et al.  Modelling and linear control of a buoyancy-driven airship , 2009, 2009 7th Asian Control Conference.

[5]  Torkel Glad,et al.  Nonlinear system theory: John L. Casti , 1987, Autom..

[6]  P. Olver Nonlinear Systems , 2013 .

[7]  Shan Xue-xiong Added Mass to Stratospheric Airship and Its Effect on Motion , 2006 .

[8]  Inna Sharf,et al.  Dynamics Modeling and Simulation of Flexible Airships , 2009 .

[9]  A. Rodic,et al.  Modeling and simulation of quad-rotor dynamics and spatial navigation , 2011, 2011 IEEE 9th International Symposium on Intelligent Systems and Informatics.

[10]  John L. Casti,et al.  Nonlinear System Theory , 2012 .

[11]  N. Bajcinca Computation of stable regions in PID parameter space for time-delay systems , 2004 .

[12]  Meyer Nahon,et al.  Modeling and Simulation of Airship Dynamics , 2007 .

[13]  Lorenzo Pollini,et al.  Simulation and Robust Backstepping Control of a Quadrotor Aircraft , 2008 .

[14]  Xinhua Wang,et al.  Quad rotor arial robot dynamic modeling and configuration stabilization , 2010, 2010 2nd International Asia Conference on Informatics in Control, Automation and Robotics (CAR 2010).

[15]  Youdan Kim,et al.  Constrained Adaptive Backstepping Controller Design for Aircraft Landing in Wind Disturbance and Actuator Stuck , 2012 .

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