1st Edition

Control of Nonlinear Differential Algebraic Equation Systems with Applications to Chemical Processes

By Aditya Kumar, Prodromos Daoutidis Copyright 1999
174 Pages
by Chapman & Hall

174 Pages
by Chapman & Hall

174 Pages
by Chapman & Hall

The feedback control of nonlinear differential and algebraic equation systems (DAEs) is a relatively new subject. Developing steadily over the last few years, it has generated growing interest inspired by its engineering applications and by advances in the feedback control of nonlinear ordinary differential equations (ODEs). This book-the first of its kind-introduces the reader to the inherent... Read more
DAEs: Background and Concepts
Introduction
Linear Systems
Nonlinear Systems
Chemical Process Applications
Reactor with Fast Heat Transfer through Heating Jacket
Reactor with Fast and Slow Reactions
Two-Phase Reactor with Fast Mass Transfer
Cascade of Reactors with High Pressure Gaseous Flow
Reaction-Separation Process Network with Large Recycle
Reactor with High-Gain Pressure Controller
Flow of Incompressible Fluids
Conclusions
Feedback Control of Regular DAE Systems
Introduction
Preliminaries
Derivation of State-Space Realizations
Sate Feedback Controller Synthesis
Conclusions
Feedback Control of Non-Regular DAE Systems
Introduction
Preliminaries
Algorithm for Derivation of Equivalent DAE System
Dynamic State Feedback Regularization
State-Space Realizations and Controller Synthesis
Control of DAE Systems with Disturbance Inputs
Introduction
System Description and Preliminaries
Algorithm for Identification of Constraints
State-Space Realizations and Feedforward/State Feedback Control of Regular Systems
Feedforward/State Feedback Regularization and Control of Non-Regular Systems
Conclusions
DAEs and Singularly Perturbed Systems
Introduction
Standard vs. Non-Standard Singularly Perturbed Systems
Derivation of Standard Singularly Perturbed Representation of Rate-Based Models
Singularly Perturbed Models of Process Networks
Simulation Studies of Chemical Process Applications
A CSTR with Heating Jacket
A CSTR with Multiple Reactions
Two-Phase Reactor
Reactor-Condenser Network
Bibliography

Biography

University of Minnesota. University of Minnesota.

"This valuable monograph presents in a unified framework, recent results on systems described by coupled nonlinear differential and algebraic equations …The book is an excellent reference for engineers and applied mathematicians interested in this relatively new subject, that has been developing steadily over the last few years."
-Dieter Franke in Mathematical Reviews