Title :
Euler´s Discretization of Single Input Sliding-Mode Control Systems
Author :
Galias, Zbigniew ; Xinghuo Yu
Abstract :
In this note, the dynamical behaviors of Euler´s discretization of the equivalent control based sliding-mode control (SMC) systems are studied. We show that if the discretized SMC system is asymptotically stable, then every trajectory converges to a period-2 cycle. Bounds for the steady states are derived, which allow one to estimate the maximum chattering amplitude for a given value of the time step. The analysis and results are verified with several computer simulations.
Keywords :
asymptotic stability; discrete systems; variable structure systems; Euler discretization; asymptotic stability; chattering amplitude; equivalent control; single input sliding-mode control system; Amplitude estimation; Analytical models; Australia Council; Computer simulation; Control systems; Linear systems; Sliding mode control; State estimation; Steady-state; Switching frequency; Discretization; dynamical behaviors; equivalent control; sliding-mode control;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2007.904289
