Title :
Homogeneous Sliding Modes in The Presence of Fast Actuators
Author :
Levant, Arie ; Fridman, Leonid
Author_Institution :
School of Mathematical Sciences, Tel-Aviv University, Ramat-Aviv, 69978 Tel-Aviv, Israel (phone: +972-3-6408812; fax: +972-3-6407543; e-mail: levant@post.tau.ac.il).
Abstract :
It is known that the presence of actuators leads to the deterioration of sliding modes with chattering appearance. It is shown in the paper that the higher the order r of the homogeneous sliding mode the less sensitive it is to fast stable actuators. In particular, with the actuator time constant μ << 1 the sliding variable magnitude is proportional to μr.
Keywords :
Actuators; Cities and towns; Control systems; Control theory; Feedback; Frequency; Input variables; Sliding mode control; Uncertainty; Variable structure systems;
Conference_Titel :
Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on
Print_ISBN :
0-7803-9567-0
DOI :
10.1109/CDC.2005.1582217