Question: Consider the inverted pendulum dynamics m tanh g l sin ( ) + w ( t ) = u where m in R > 0

Consider the inverted pendulum dynamics
m tanh
g
l sin ()+ w (t)= u
where m in R>0 is the known pendulum inertia, in R>0 is the unknown constant coecient of
friction, g in R>0 is the known gravitational constant, l in R>0 is the known length of the pendulum,
and w : R R is an unknown function that models the wind torque applied to the pendulum; the
function w can be bounded from above such tha

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