Nonlinear Observer Design for the Undamped Oscillator

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Dr. V. Sundarapandian

Abstract

This paper investigates the nonlinear observer design for the undamped oscillator. Explicitly, Sundarapandian’s theorem (2002) for
observer design for nonlinear systems is used to solve the problem of local exponential observer design for the undamped oscillator. In this
paper, we derive results for exponential observer design for the undamped oscillator. Numerical examples and simulations of nonlinear observer
design for undamped oscillator are shown to illustrate the results and validate the proposed observer design for the undamped oscillator.

 

Keywords: Undamped Oscillator, Observer Design, Nonlinear Observers, Exponential Observers, Stability, Nonlinear Systems.

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