Rafikov, MaratBalthazar, José Manoel [UNESP]2014-05-272014-05-272005-12-01Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005, v. 6 B, p. 867-873.http://hdl.handle.net/11449/68552In 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 Rössler system and the Duffing oscillator are provided to show the effectiveness of this method. Copyright © 2005 by ASME.867-873engChaos theoryComputer simulationDynamic programmingFeedback controlHamiltoniansNonlinear control systemsOptimal control systemsOscillationsDuffing oscillatorHamilton Jacobi Bellman equationOptimal control theoryRössler systemLinear control systemsTrabalho apresentado em evento10.1115/DETC2005-84998Acesso aberto2-s2.0-33244461989