会议专题

Robust Stability Analysis of Asymptotic Second-order Sliding Mode Control System Using Lyapunov Function

This paper investigates the robust stability of an asymptotic second-order sliding mode (2nd-SM) control system, where a first-order sliding mode (1st-SM) control law is implemented to realize an asymptotic 2nd-SM control for a linear time-invariant continuous-time system with a relative degree of two. It is found in the paper that a 2nd-SM can be reached locally and asymptotically by a 1st-SM control law if the sum of the system poles is less than the sum of the system zeros. The asymptotic convergence to the 2nd-SM and the robust stability of the asymptotic 2nd-SM control system are for the first time proved with Lyapunov functions, in the presence of matched external disturbances and parameter uncertainties. Finally, the effectiveness of the asymptotic 2nd-SM control algorithm is verified through numerical simulations.

Variable Structure Control Second-order Sliding Mode Control First-order Sliding Mode Control Asymptotic Convergence Lyapunov Function

Yaodong Pan Guangjun Liu Krishna Dev Kumar

Department of Aerospace Engineering,Ryerson University 350 Victoria Street,Toronto,Ontario M5B 2K3,Canada

国际会议

2010 IEEE信息与自动化国际会议(ICIA 2010)

哈尔滨

英文

1-6

2010-06-20(万方平台首次上网日期,不代表论文的发表时间)