Robust and adaptive control using measurements of higher order derivatives
Résumé
he problem of output control for linear uncertain system
with external perturbations is studied. It is assumed that
the output available for measurements is the higher order
derivative of the state only (acceleration for a second
order plant), which is also corrupted by noise. Then via
series of integration an identification algorithm is
proposed for identification of values of all parameters and
unknown initial conditions for the state vector. Finally,
two control algorithms are developed, adaptive and robust,
providing boundedness of trajectories for the system.
Efficiency of the obtained solutions is demonstrated by
numerical experiments.