DocumentCode :
2295120
Title :
Stability Analysis of Uncertain Nonlinear Singularly Perturbed Discrete Systems
Author :
Park, Kyun-Sang ; Cho, Young-Jun ; Kim, Yun-Jeong ; Lim, Jong-Tae
Author_Institution :
Dept. of Electr. Eng., Korea Adv. Inst. of Sci. & Technol., Daejeon, South Korea
fYear :
2011
fDate :
20-22 Sept. 2011
Firstpage :
153
Lastpage :
158
Abstract :
In this paper, the robust stability of uncertain non linear singularly perturbed discrete systems is considered via the Lyapunov function method. We decompose the uncertain nonlinear singularly perturbed discrete system into the slow subsystem and the fast subsystem based on the manifold from the slow dynamics. Then, the stability conditions of the slow subsystem and the fast subsystem are obtained, respectively. The stability conditions of the slow subsystem and the fast subsystem guarantee the robust stability of the uncertain nonlinear singularly perturbed discrete system through the composite Lyapunov function. Finally, we show an illustrative example in order to show the validity of our result.
Keywords :
Lyapunov methods; discrete systems; nonlinear control systems; robust control; uncertain systems; Lyapunov function method; discrete system; nonlinear singularly perturbed system; robust stability; stability analysis; uncertain system; Circuit stability; Equations; Lyapunov methods; Manifolds; Robust stability; Stability analysis; Uncertainty;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Computational Intelligence, Modelling and Simulation (CIMSiM), 2011 Third International Conference on
Conference_Location :
Langkawi
Print_ISBN :
978-1-4577-1797-0
Type :
conf
DOI :
10.1109/CIMSim.2011.35
Filename :
6076348
Link To Document :
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