Nonlinear Observer Design for Nonlinear Pendulum Systems
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Abstract
This paper investigates the nonlinear observer design for nonlinear pendulum systems. Explicitly, Sundarapandian’s theorem (2002)
for observer design for nonlinear systems is used to solve the problem of local exponential observer design for nonlinear pendulum systems. In
this paper, we derive results for exponential observer design for pendulum systems for three cases, viz. (a) no damping, (b) linear damping and
(c) quadratic damping. Numerical examples and simulations of nonlinear observer design for nonlinear pendulum systems are shown to illustrate
the results and validate the proposed observer design for nonlinear pendulum systems.
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Keywords: Nonlinear Pendulum, Observer Design, Nonlinear Observers, Exponential Observers, Stability, Nonlinear Systems.
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