Title :
Discretization Effect on Equivalent Control-Based Multi-Input Sliding-Mode Control Systems
Author :
Yu, Xinghuo ; Wang, Bin ; Galias, Zbigniew ; Chen, Guanrong
Author_Institution :
Sch. of Electr. & Comput. Eng., R. Melbourne Inst. of Technol., Melbourne, VIC
fDate :
7/1/2008 12:00:00 AM
Abstract :
In this paper, discretization effects on the dynamical behaviors of equivalent control based multi-input sliding-mode control systems is studied. Boundary conditions for the system steady states are established. Furthermore, properties of asymptotically convergent periodic trajectories are characterized by using new concepts of symbolic vector and symbolic vector sequence. Finally, the theoretical results are verified through the simulation study of a third-order system with two inputs.
Keywords :
discrete systems; variable structure systems; vectors; discretization effect; dynamical behaviors; equivalent control-based systems; multiinput sliding-mode control systems; symbolic vector sequence; third-order system; Australia; Boundary conditions; Chaos; Control systems; Councils; Feedback; Sliding mode control; Stability; Steady-state; Switching frequency; Multi-input systems; periodic behavior; sliding mode control; stability; symbolic sequence; zero-order holder;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2008.928311