S. Devasia, OUTPUT TRACKING WITH NONHYPERBOLIC AND NEAR NONHYPERBOLIC INTERNAL DYNAMICS - HELICOPTER HOVER CONTROL, Journal of guidance, control, and dynamics, 20(3), 1997, pp. 573-580
A technique to achieve output tracking for nonminimum phase linear sys
tems with nonhyperbolic and near nonhyperbolic internal dynamics is pr
esented. This approach integrates stable inversion techniques, which a
chieve exact tracking, with approximation techniques, which modify the
internal dynamics, to achieve desirable performance. such modificatio
n of the internal dynamics is used 1) to remove nonhyperbolicity, whic
h is an obstruction to applying stable inversion techniques, and 2) to
reduce large preactuation times needed to apply stable inversion for
near nonhyperbolic cases. The method is applied to an example helicopt
er hover control problem with near nonhyperbolic internal dynamics for
illustrating the tradeoff between exact tracking and reduction of pre
actuation time.