adaptive control law

the simple control law u=theta_1*y_p+theta_2*r
and tuning law
to make the plant
to track the output of refrence model
where e=y_p-y_m
It is already shown that when r is a constant, there will be infinite
pairs of ultimate values of theta1 and theta2; while r=sin(3*t), the
ultimate values of theta1 and theta2 must be fixed.
However, anybody knows is there any difference in the tracking
performance when r is different. I find when r=sin(3*
t), it takes less
time for e to converge to zero. Am I right?
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