PID controller design for a class of uncertain nonlinear systems via backstepping method

In this paper, the PID controller design is considered for a class of second-order uncertain nonlinear systems. The system nonlinearity satisfies linear growth condition multiplied by a known growth rate. The novelty of the paper is that the PID controller parameter is determined by using Bacstepping method. It is proved that global stability of the closed loop system can be guaranteed. A numerical example is used to illustrate the effectiveness of the proposed method.