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Zbl 1242.34099
Sun, Yeong-Jeu
Composite tracking control for generalized practical synchronization of Duffing-Holmes systems with parameter mismatching, unknown external excitation, plant uncertainties, and uncertain deadzone nonlinearities. (English)
[J] Abstr. Appl. Anal. 2012, Article ID 640568, 11 p. (2012). ISSN 1085-3375; ISSN 1687-0409/e

Summary: The generalized practical synchronization (GPS) of uncertain Duffing-Holmes chaotic systems with parameter mismatching, unknown external excitation, plant uncertainties, and uncertain deadzone nonlinearities is investigated. Based on the composite control approach, a tracking control is derived to realize the GPS for the uncertain Duffing-Holmes chaotic systems with parameter mismatching, unknown external excitation, plant uncertainties, and uncertain deadzone nonlinearities. Besides, the guaranteed exponential decay rate, convergence radius, and desired scaling factor can be prespecified. Finally, numerical simulations are provided to illustrate the feasibility and effectiveness of the proposed GPS scheme.

MSC 2000:: *34D06
34H05 ODE in connection with control problems
93C15 Control systems governed by ODE

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