Time Domain Decomposition in Solution of Singular Nonlinear Optimal Control Problems

Author:	Tzoneva Raynitchka, PeninsulaTechnikon, South Africa
Topic:	2.4 Optimal Control
Session:	Control Applications of Optimization
Keywords:	nonlinear systems, time delays, constraints, optimal control, singular control, augmented Lagrange;s functional, time domain decomposition, fermentation processes

Abstract

Method for optimal control calculation for discrete optimal control problems characterized by non-quadratic criterion, nonlinear model with affine control, state and control delays and constraints is developed. An augmented functional of Lagrange is applied and its decomposition in time domain is proposed using new coordinating vector for dual decomposition in order to calculate the optimal state and control trajectories. The method is applied to solve the problems for maximum production of batch and minimum start-up time of continuous fermentation processes. Copyright © 2005 IFAC