The backstepping control of a class of random uncertain linear second order system with single known control direction
Zhaorui Ma1, Cheng Gan1, Na Li2, Xia Li1, Ruiqi Wang3, Junwei Lei4
COMPUTER MODELLING & NEW TECHNOLOGIES 2014 18(12A) 59-65
1 College of Computer and Communication Engineering, Zhengzhou University of Light Industry, Zhengzhou 450002, China
2 College of Electronic Information Engineering, SIAS International University of ZZU, Zhengzhou 451100, China
3 Department of Armament Engineering, Naval Aeronautical and Astronautical University, Yantai Shandong 264001, China
4 Department of Control Engineering, Naval Aeronautical and Astronautical University, Yantai Shandong 264001, China
A kind of backsteeping control method is researched for a class of random uncertain linear two order system with single known control direction. The rightness of backstepping control is proved by constructing a Lyapunov function and it is compared with PID method. Simulation result shows that the backstepping method has a strong robustness than PID control for second order system with whole random model parameters