A STATE SPACE APPROACH FOR BOUNDARY CONTROL OF DISTRIBUTED PARAMETER SYSTEMS

Many industrial processes exhibit spatially distributed behaviour and are distributed parameter systems (DPS). Much of the current literature has focused on the control of specific types of DPS, such as those modelled by hyperbolic or parabolic partial differential equations (PDEs). State space models for these systems (termed as 2-D systems) have also been studied extensively, however additional techniques are required to deal with boundary conditions. In this paper, general boundary conditions for discretized 2-D state space models are formulated in the state space domain. A controller is developed for boundary control problems using the discretized state space method. Simulation results indicate that the resulting boundary controller can achieve desirable performance for setpoint tracking.