An averaging approach to the problem of chattering

Author

Fridman, Leonid M. ; Acosta, Pedro

Author_Institution

Chihuahua Inst. of Technol., Mexico

Volume

2

fYear

2000

fDate

2000

Firstpage

311

Abstract

The singularly perturbed relay control systems with second order sliding modes are considered for modeling of sliding mode control systems with fast actuators. The algorithm for correction of sliding mode equations is suggested, which allows to take into account the presence of fast actuators. The correlation between the conditions of stability of actuator from the one hand and exponential decreasing of chattering amplitude from the other hand is investigated. It is shown that in the case when the linear part of sliding mode equations has a critical spectrum it is obligatory to correct equations of sliding motions to take into account the presence of fast actuators

Keywords

actuators; relay control; singularly perturbed systems; stability; variable structure systems; averaging approach; chattering problem; critical spectrum; fast actuators; second order sliding modes; singularly perturbed relay control systems; stability; Asymptotic stability; Control systems; Equations; Frequency; Hydraulic actuators; Motion control; Relays; Sensor phenomena and characterization; Sensor systems; Sliding mode control;

fLanguage

English

Publisher

ieee

Conference_Titel

Control of Oscillations and Chaos, 2000. Proceedings. 2000 2nd International Conference

Conference_Location

St. Petersburg

Print_ISBN

0-7803-6434-1

Type

conf

DOI

10.1109/COC.2000.873980

Filename

873980