Title :
Accuracy of Homogeneous Sliding Modes in the Presence of Fast Actuators
Author :
Levant, Arie ; Fridman, Leonid M.
Author_Institution :
Sch. of Math. Sci., Tel-Aviv Univ., Tel-Aviv, Israel
fDate :
3/1/2010 12:00:00 AM
Abstract :
It is shown that the higher the order r of the homogeneous sliding mode is, the less sensitive it is to the presence of unaccounted-for fast stable actuators. With ?? being an infinitesimal actuator time constant, the sliding variable magnitude is proved to be proportional to ??r . The system chattering is shown to be not amplified in the presence of actuators.
Keywords :
actuators; stability; variable structure systems; fast stable actuator; homogeneous sliding mode; infinitesimal actuator time constant; sliding variable magnitude; system chattering; Actuators; Cities and towns; Control engineering; Delay; Mathematical model; Noise robustness; Output feedback; Region 10; Sliding mode control; State feedback; Switching frequency; Chattering; high-order sliding mode; singular perturbation; sliding-mode control;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2010.2040512
