Observer-based adaptive control of chaos in nonlinear discrete-time systems using time-delayed state feedback |
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| Authors: | Amin Yazdanpanah Goharrizi Ali Khaki-Sedigh Nariman Sepehri |
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| Institution: | aDepartment of Mechanical and Manufacturing Engineering, University of Manitoba, Winnipeg, MB, Canada R3T-5V6;bDepartment of Electrical Engineering, K.N. Toosi University of Technology, Sayyed Khandan Bridge, Shariati Street, Tehran 16314, Iran |
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| Abstract: | A new approach to adaptive control of chaos in a class of nonlinear discrete-time-varying systems, using a delayed state feedback scheme, is presented. It is discussed that such systems can show chaotic behavior as their parameters change. A strategy is employed for on-line calculation of the Lyapunov exponents that will be used within an adaptive scheme that decides on the control effort to suppress the chaotic behavior once detected. The scheme is further augmented with a nonlinear observer for estimation of the states that are required by the controller but are hard to measure. Simulation results for chaotic control problem of Jin map are provided to show the effectiveness of the proposed scheme. |
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