S. Thomas et B. Bandyopadhyay, POSITION CONTROL OF SINGLE LINK FLEXIBLE MANIPULATOR BY VARIABLE-STRUCTURE MODEL-FOLLOWING CONTROL, Journal of dynamic systems, measurement, and control, 119(2), 1997, pp. 330-335
A variable structure model following controller (VSMFC) is designed fo
r the tip position control of a single flexible link. The design is do
ne for the system model in which only the first two flexible modes are
included. Due to the simplicity in choosing second order models for t
he subsystems representing the dynamics of the various flexible modes,
the design cart be easily extended to include any desired number of f
lexible modes. The tip position response is made to assume a second or
der step response by suppressing the flexible modes very quickly. Henc
e the tip position response can be easily controlled by a suitable cho
ice of the damping factor and natural frequency of the second order mo
del which the rigid body mode of the link is made to follow. The contr
oller is robust to parameter variations and disturbances.