Title :
Sliding mode observer-based stabilization of interconnected fractional order systems
Author :
Sang-Chul Lee ; Hyo-Sung Ahn
Author_Institution :
Sch. of Mechatron., Gwangju Inst. of Sci. & Technol., Gwangju, South Korea
Abstract :
In this paper the interconnected fractional order systems (FOSs) stabilization problem is studied. For the purpose of stabilization, this paper introduces the Fractional Order-Sliding Mode Observer (FO-SMO). Considering the nonlinear interconnections among the fractional order subsystems that are unknown, but norm bounded, the FO-SMO is employed to estimate the unknown states. Using the observer-based control, asymptotic stabilization is achieved.
Keywords :
asymptotic stability; interconnected systems; nonlinear control systems; observers; variable structure systems; asymptotic stabilization; fractional order subsystem; fractional order-sliding mode observer; interconnected fractional order system; nonlinear interconnection; observer-based control; sliding mode observer-based stabilization; unknown state estimation; Asymptotic stability; Eigenvalues and eigenfunctions; Integrated circuit interconnections; Linear matrix inequalities; Stability analysis; State feedback; Symmetric matrices;
Conference_Titel :
Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
Conference_Location :
Maui, HI
Print_ISBN :
978-1-4673-2065-8
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2012.6426637
