A Numerical Method for Multi-objective Optimal Control

Host Institution:

University of South Australia

Title of Seminar:

A Numerical Method for Multi-objective Optimal Control

Speaker's Name:

Dr C. Yalcin Kaya

Speaker's Institution:

University of South Australia

Time and Date:

Tuesday 19 November 2013, 2.00pm (AEDT)

Seminar Abstract:

A numerical method is proposed for constructing an approximation of the Pareto front of nonconvex multi-objective optimal control problems. First, a suitable scalarization technique is employed for the multi-objective optimal control problem. Then by using a grid of scalarization parameter values, i.e., a grid of weights, a sequence of single-objective optimal control problems are solved to obtain points which are spread over the Pareto front. The technique is illustrated on problems involving tumor anti-angiogenesis and a fed-batch bioreactor, which exhibit bang–bang, singular and boundary types of optimal control. We illustrate that the Bolza form, the traditional scalarization in optimal control, fails to represent all the compromise, i.e., Pareto optimal, solutions.

Joint work with Helmut Maurer.

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