In this paper, a one link manipulator with an actuator located at the
base is considered. The model of a flexible manipulator is developed u
sing a truncated modal expansion solution of a Bernoulli-Euler beam. A
truncated model retains the rigid body mode and the first three flexi
ble modes. Measurements are made on the flexible arm yielding time var
ying quantities which are linear combinations of the system states. Se
veral controllers to control the flexible modes of the flexible arm ar
e designed and discussed.