OPTIMAL-CONTROL OF A PARABOLIC DISTRIBUTED-PARAMETER SYSTEM VIA ORTHOGONAL POLYNOMIALS

A class of optimal control of systems with distributed parameters is c onsidered. The process of the systems under consideration is governed by a linear parabolic partial differential equation. By use of the mod al space technique, the optimal control of a distributed parameter sys tem is simplified into the optimal control of a linear time-invariant lumped-parameter system. Next, a direct computational method for evalu ating the modal optimal control and trajectory of the linear time-inva riant lumped-parameter is suggested. The method is based on using fini te interpolating orthogonal polynomials to approximate modal state var iables. The formulation is straightforward and convenient for digital computation. An illustrative example is given to demonstrate the advan tage of this method. (C) 1998 John Wiley Rr Sons, Ltd.