Chattering on high gain control systems with fast actuator

Author

Fridman, Leonid

Author_Institution

Samara Architecture & Building Acad., Samara, Russia

Volume

4

fYear

1997

fDate

10-12 Dec 1997

Firstpage

3232

Abstract

The singularly perturbed systems with two small parameters are considered as a mathematical model of chattering in the sliding mode systems. The time constant of fast actuator is one of these parameters and the other corresponds to the high gain in saturated control law. The sufficient conditions and correlations between the small parameters due to which the amplitude of chattering is exponentially decreasing are found. The correction algorithms for slow motions approximate equations design, which allow one to take into account the influence of the actuators and high gain are proposed

Keywords

actuators; control system analysis; singularly perturbed systems; variable structure systems; actuators; chattering; high gain control systems; mathematical model; saturated control; singularly perturbed systems; sliding mode systems; sufficient conditions; Actuators; Algorithm design and analysis; Buildings; Control systems; Electronic mail; Gain control; Integral equations; Mathematical model; Sliding mode control; Sufficient conditions;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1997., Proceedings of the 36th IEEE Conference on

Conference_Location

San Diego, CA

ISSN

0191-2216

Print_ISBN

0-7803-4187-2

Type

conf

DOI

10.1109/CDC.1997.652341

Filename

652341