Title :
Control for the traveling wave solution to the Degasperis-Procesi equation
Author :
Zong Xiju ; Zhang Yong ; Cheng Xingong
Author_Institution :
Sch. of Control Sci. & Eng., Univ. of Jinan, Jinan, China
Abstract :
The differential geometry method is used to study the control problem of the traveling wave solution to the Degasperis-Procesi equation. Based on the differential geometry structure, General Hamiltionian Realization (GHR) is used to derive the strictly dissipative feedback controller of the controlled system. Numerical simulations confirm the results obtained.
Keywords :
control system synthesis; differential geometry; feedback; shallow water equations; Degasperis-Procesi equation; control problem; controlled system; differential geometry; dissipative feedback controller; general Hamiltionian realization; traveling wave solution; Equations; Geometry; Mathematical model; Numerical simulation; Solitons; Trajectory; Differential geometry; Feedback linearization; General Hamiltionian Realization (GHR); Nonlinear control system; Traveling wave solution;
Conference_Titel :
Control Conference (CCC), 2011 30th Chinese
Conference_Location :
Yantai
Print_ISBN :
978-1-4577-0677-6
Electronic_ISBN :
1934-1768