Optimal Control for Chemical Engineers [Hardcover]

Optimal Control for Chemical Engineersgives a detailed treatment of optimal control theory that enables readers to formulate and solve optimal control problems. With a strong emphasis on problem solving, the book provides all the necessary mathematical analyses and derivations of important results, including multiplier theorems and Pontryagins principle.

The text begins by introducing various examples of optimal control, such as batch distillation and chemotherapy, and the basic concepts of optimal control, including functionals and differentials. It then analyzes the notion of optimality, describes the ubiquitous Lagrange multipliers, and presents the celebrated Pontryagin principle of optimal control. Building on this foundation, the author examines different types of optimal control problems as well as the required conditions for optimality. He also describes important numerical methods and computational algorithms for solving a wide range of optimal control problems, including periodic processes.

Through its lucid development of optimal control theory and computational algorithms, this self-contained book shows readers how to solve a variety of optimal control problems.

Introduction
Definition
Optimal Control versus Optimization
Examples of Optimal Control Problems
Structure of Optimal Control Problems

Fundamental Concepts
From Function to Functional
Domain of a Functional
Properties of Functionals
Differential of a Functional
Variation of an Integral Objective Functional
Second Variation

Optimality in Optimal Control Problems
Necessary Condition for Optimality
Application to Simplest Optimal Control Problem
Solving an Optimal Control Problem
Sufficient Conditil³!