L. Guo et M. Tomizuka, HIGH-SPEED AND HIGH-PRECISION MOTION CONTROL WITH AN OPTIMAL HYBRID FEEDFORWARD CONTROLLER, IEEE-ASME TRANSACTIONS ON MECHATRONICS, 2(2), 1997, pp. 110-122
An optimal feedforward controller which makes a hybrid usage of the sh
ift (q) and delta (delta) operators is proposed for high-speed and hig
h-precision digital motion control systems, Uncancellable discrete-tim
e zeros arising from sampling the continuous-time plant at high rates,
which make the mathematical inverse unstable, are handled in a natura
l way. The controller is optimized to have good performance in both lo
w and high frequency ranges, and it is able to handle uncancellable di
screte-time zeros in the right half plane, The optimization problem is
generalized to an H-infinity problem. Convex minimization is used to
find the solution to the optimization problem, Simulation results and
experiments carried out on an MC-510V Matsuura vertical machining cent
er show superior performance of the proposed optimal hybrid feedforwar
d controller.