Design of relay-controlled, linear time-varying feedback systems

Controller design for relay-controlled, linear time-varying plants will be studied in this paper, with the main objective that the plant's steady-stat e output t --> infinity will track the desired reference signal and all the deterministic disturbances and initial conditions at the plant's output wi ll asymptotically die away to zero. Analysis and design of a linear time-va rying controller, preceded by a relay and followed by a linear time-varying plant in the feedforward path, will be studied. Examples, as we proceed al ong, will, most vividly, give their support to the obtained theoretical res ults. The obtained results show that the proposed control scheme provides g ood dynamic behaviour, even if the plant parameters vary in a relatively br oad range. (C) 2000 The Franklin Institute. Published by Elsevier Science L td. All rights reserved.