Optimal Linear and Nonlinear Control Design for Chaotic Systems
Keyword(s):
In this work, the linear and nonlinear feedback control techniques for chaotic systems were been considered. The optimal nonlinear control design problem has been resolved by using Dynamic Programming that reduced this problem to a solution of the Hamilton-Jacobi-Bellman equation. In present work the linear feedback control problem has been reformulated under optimal control theory viewpoint. The formulated Theorem expresses explicitly the form of minimized functional and gives the sufficient conditions that allow using the linear feedback control for nonlinear system. The numerical simulations for the Ro¨ssler system and the Duffing oscillator are provided to show the effectiveness of this method.
2010 ◽
Vol 20
(07)
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pp. 2165-2177
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2007 ◽
Vol 33
(2)
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pp. 419-435
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2006 ◽
Vol 16
(04)
◽
pp. 1041-1047
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Keyword(s):
2017 ◽
Vol 3
(1)
◽
Keyword(s):
2003 ◽
Vol 13
(04)
◽
pp. 951-956
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