On-Line Optimization Using Dual Decomposition and a Quasilinear Subsystem Expansion

[+] Author and Article Information
P. F. Perry

Management Information Systems Department, University College Dublin, Dublin 4, Ireland

J. Dyn. Sys., Meas., Control 109(1), 60-64 (Mar 01, 1987) (5 pages) doi:10.1115/1.3143821 History: Received March 01, 1984; Online July 21, 2009


The problem of on-line optimal control of large scale interconnected nonlinear dynamic systems is considered using duality. A well-known goal coordination algorithm is used involving two levels of computation: at level 1 a decomposed Lagrangian function is minimized with respect to its subsystem states and controls for a given multiplier value obtained by maximizing the dual with respect to the coordinating constraints at level 2. The level 1 computation is carried out for nonlinear problems using a quasilinear expansion from which the resulting two point boundary value problems are solved using a procedure due to Pereyra. The level 2 computation is carried out using conjugate gradients. A numerical example is given and some potential application areas in process and factory automation are mentioned.

Copyright © 1987 by ASME
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