Optimal Control for Chemical Engineers

Contents

Preface

Notation

1 Introduction

1.1 Definition

1.2 Optimal Control versus Optimization

1.3 Examples of Optimal Control Problems

1.3.1 Batch Distillation

1.3.2 Plug Flow Reactor

1.3.3 Heat Exchanger

1.3.4 Gas Diffusion in a Non-Volatile Liquid

1.3.5 Periodic Reactor

1.3.6 Nuclear Reactor

1.3.7 Vapor Extraction of Heavy Oil

1.3.8 Chemotherapy

1.3.9 Medicinal Drug Delivery

1.3.10 Blood Flow and Metabolism

1.4 Structure of Optimal Control Problems

Bibliography

Exercises

2 Fundamental Concepts

2.1 From Function to Functional

2.1.1 Functional as a Multivariable Function

2.2 Domain of a Functional

2.2.1 Linear or Vector Spaces

2.2.2 Norm of a Function

2.3 Properties of Functionals

2.4 Differential of a Functional

2.4.1 Fréchet Differential ...