%0 Journal Article %A JIN Zhou %A LIU Yi-cheng %A PU Ming %T A Finite-Time Back-Stepping Dynamic Surface Control %D 2019 %R 10.13190/j.jbupt.2018-109 %J Journal of Beijing University of Posts and Telecommunications %P 70-76 %V 42 %N 2 %X A finite time back-stepping dynamic surface control was proposed for n-order nonlinear systems with external disturbances and modeling errors. In the subsystem controller design of the dynamic surface control method, a nonlinear filter with fast finite time convergence was designed to replace the first order linear filter. This method can avoid "explosion of terms", reduce the error accumulation of high order system, and at the same time can avoid the singularity problem that is difficult to solve in high order system of finite time control. In order to solve the problem that the estimation error was not taken into account in the stability analysis of dynamic surface control, the stability of the estimation error was considered, and the steady-state control error was given. Finally, combining with the position control of the four-rotor aircraft, the simulation verifies its engineering practicability and superiority. %U https://journal.bupt.edu.cn/EN/10.13190/j.jbupt.2018-109