Title :
Study of zero-order holder discretization in single input sliding mode control systems
Author :
Galias, Zbigniew ; Yu, Xinghuo
Author_Institution :
Dept. of Electr. Eng., AGH Univ. of Sci. & Technol., Krakow
Abstract :
Discretization effects in single input equivalent control based SMC systems of arbitrary dimension are studied. A bound for the number of iterates a trajectory may stay on one side of the sliding surface is found. Conditions for existence of periodic orbits are formulated. It is confirmed in simulations that even for very small values of discretization steps complex behaviors including periodic solutions of various length may be observed.
Keywords :
variable structure systems; discretization effects; periodic orbits; periodic solutions; single input equivalent control; single input sliding mode control systems; sliding surface; zero-order holder discretization; Australia; Control systems; Linear systems; Orbits; Polynomials; Robust control; Sliding mode control; Steady-state; Switching frequency; Upper bound;
Conference_Titel :
Circuits and Systems, 2008. ISCAS 2008. IEEE International Symposium on
Conference_Location :
Seattle, WA
Print_ISBN :
978-1-4244-1683-7
Electronic_ISBN :
978-1-4244-1684-4
DOI :
10.1109/ISCAS.2008.4541669