On estimating regions of stability of the estimation error of sliding mode observers for uncertain systems

Author

Hui, Stefen ; Sudhoff, Scott D. ; Zak, Stanislaw H.

Author_Institution

Dept. of Math. Sci., San Diego State Univ., CA

fYear

2006

fDate

14-16 June 2006

Abstract

Two classes of full-order sliding mode observers for uncertain dynamical systems are analyzed. The first class has its roots in the sliding mode equivalent-control method, while the second class is based on the second method of Lyapunov. The observers are analyzed using differential inequalities that appear in the analysis of a class of sliding mode controllers. Using the differential inequalities, regions of stability of the estimation error are determined. In addition, uniform ultimate boundedness of the estimation error is proven for the equivalent-control based class of sliding mode observers for uncertain dynamical systems

Keywords

Lyapunov methods; control system analysis; observers; stability; uncertain systems; variable structure systems; Lyapunov method; differential inequalities; estimation error; observer analysis; sliding mode equivalent-control; sliding mode observers; stability region estimation; uncertain dynamical systems; uniform ultimate boundedness; Estimation error; Mathematical model; Sliding mode control; Stability; USA Councils; Uncertain systems;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2006

Conference_Location

Minneapolis, MN

Print_ISBN

1-4244-0209-3

Electronic_ISBN

1-4244-0209-3

Type

conf

DOI

10.1109/ACC.2006.1657232

Filename

1657232