Design Optimal Backstepping Controller for Quadrotor Based on Lyapunov Theory for Disturbances Environments

Abstract

Various control methods have been studied to control the position and attitude of quadrotors. There are some differences in the mathematical equations between the two types of quadrotor configurations that lead to different control efficiency in disturbance environments. This paper described the nonlinear back stepping approach based on the Lyapunov function theory and LaSalle Principle for the quadrotor control system, which can provide the stability of all system states during the tracking of the desired trajectory. Accordingly, a mathematical model of the cross quadrotor configuration together with the controller has been built to stabilize the altitude and position of the quadrotor. To clarify the effectiveness of this method with the selected quadrotor configuration, we compare it with a traditional PID controller in an environment affected by disturbances. The simulation results in MATLAB show satisfactory stability of the quadrotor flight and following certain trajectories, confirming the accuracy and validity of the control method.