Title :
Chattering analysis of time-delayed second-order sliding mode control systems using Poincaré map
Author :
Li, Xiangjun ; Yu, Xinghuo ; Han, Qinglong
Author_Institution :
Sch. of Electr. & Comput. Eng., RMIT Univ., Melbourne, VIC, Australia
Abstract :
In this paper, chattering in a time-delayed second order sliding mode control (2-SMC) system is analyzed using the Poincaré map method. Convergence of the system under arbitrary time-delay is proved. The switching patterns are explored. The existence and uniqueness of the periodic orbit are shown. Simulations are done to support the theoretical results.
Keywords :
Poincare mapping; asymptotic stability; control system analysis; delay systems; variable structure systems; Poincare map; asymptotical stability; chattering analysis; control system analysis; periodic orbit; switching patterns; system convergence; time-delayed second-order sliding mode control system; Equations; Limit-cycles; Sliding mode control; Stability analysis; Switches; Trajectory;
Conference_Titel :
Decision and Control (CDC), 2010 49th IEEE Conference on
Conference_Location :
Atlanta, GA
Print_ISBN :
978-1-4244-7745-6
DOI :
10.1109/CDC.2010.5717357
