FINITE-DIMENSIONAL COMPENSATOR FOR A CLASS OF UNCERTAIN DISTRIBUTED-PARAMETER SYSTEMS

In the development of feedback control for distributed parameter syste ms (DPSs), i.e. systems described by partial differential equations, i t is important to maintain the finite dimensionality of the controller even though the DPS is infinite-dimensional. In previous work, scient ists proposed some available design method of the finite-dimensional F eedback control for certain DPSs. Unfortunately, in real engineering s ystems, the external disturbances or/and modelling errors almost alway s exist and some other new control design must be presented. Tn this p aper a novel finite-dimensional, robust control is proposed for a clas s of uncertain distributed parameter systems. The ultimate boundedness of the closed-loop with the controls designed here can be ensured and the bounds can be arbitrarily small, provided that the dimension of t he dynamical compensator is large enough and the boundary layer is suf ficiently small, even though the observation spillover appears.