Browsing by Subject "State observers"
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Item Open Access Observer-based control of a class of chaotic systems(Elsevier, 2001) Solak, E.; Morgül, O.; Ersoy, U.We consider the control of a class of chaotic systems, which covers the forced chaotic oscillators. We focus on two control problems. The first one is to change the dynamics of the system to a new one which exhibits a desired behavior, and the second one is the tracking problem, i.e., to force the solutions of the chaotic system to track a given trajectory. To solve these problems we use observers which could be used to estimate the unknown states of the system to be controlled. We apply the proposed method to the control of Duffing equation and the Van der Pol oscillator and present some simulation results. © 2001 Elsevier Science B.V.Item Open Access A switching synchronization scheme for a class of chaotic systems(Elsevier, 2002) Morgül, Ö.; Akgül, M.In this Letter, we propose an observer-based synchronization scheme for a class of chaotic systems. This class of systems are given by piecewise-linear dynamics. By using some properties of such systems, we give a procedure to construct the gain of the observer. We prove various stability results and comment on the robustness of the proposed scheme. We also present some simulation results. © 2002 Elsevier Science B.V. All rights reserved.