Nonlinear Observer Design for the Lienard System
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Abstract
This paper investigates the nonlinear observer design for the Lienard system. Explicitly, Sundarapandian’s theorem (2002) for
observer design for nonlinear systems is used to solve the problem of local exponential observer design for the Lienard system. Lienard system
is a classical example in Stability Theory of an asymptotically stable nonlinear system. In this paper, we derive results for exponential observer
design for the Lienard system. As a special case, we also construct local exponential observer for the Van der Pol system. Numerical examples
and simulations of nonlinear observer design for Lienard system are shown to illustrate the results and validate the proposed observer design for
the Lienard system.
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Keywords: Lienard System, Van der Pol System, Observer Design, Nonlinear Observers, Exponential Observers, Stability, Nonlinear Systems.
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