- 作者: Hahn, D. R.; Fan, L. T.; Hwang, C. L.
- 作者服務機構: Institute for Systems Design and Optimization; Kansas State University, Manhattan, Kansas 66502, U.S.A.
- 中文摘要: --
- 英文摘要:
A distributed maximum principle is presented for a set of nonlinear
partial differential equations with linear two-point boundary conditions. The
unsteady state performance of a tubular heat exchanger with axial conduction can
be represented by this type of partial differential equations. Necessary conditions
for optimality with respect to a generalized objective functional are obtained in
the form of the spatial integral of a distributed Hamiltonian to be extremized with
respect to control components. A numerical technique is developed for practical
implementation of the distributed maximum principle. This involves the sequential
solution of the state and adjoint equations, the conjunction with a technique for
iteratively improving the control function. Numerical solutions for the systems of
state and adjoint equations are obtained by decoupling the equations and solving
them by means of an implicit difference technique. Computational results are
obtained for the optimal control of a change in set-point for a tubular heat
exchanger. It is demonstrated that considerable improvement is obtained over the
transient interval by using the optimal policy instead of the eventual steady state
control level. - 中文關鍵字: --
- 英文關鍵字: --