Synthesis of high-order adaptive non-linear control system with uncertain parameters using the backstepping method

Abstract

Backstepping control is a widely used control method that offers significant advantages, such as robustness against disturbances and parameter variations, reduced system order, and a simple control structure. However, if the system order is greater than three, the problem of calculating high-order derivatives becomes very complex. This article presents a method for synthesizing a class of high-order nonlinear systems based on using the backstepping method to simplify calculations and leverage its benefits. MATLAB/SIMULINK simulations using an assumed aircraft model demonstrate that using the Backstepping adaptive control system significantly reduces the impact of noise and enhances aircraft flight safety.