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

Author:   Aditya Kumar ,  Prodromos Daoutidis (University of Minnesota, Minneapolis, Minnesota, USA) ,  Prodromos Daoutidis (University of Minnesota, Minneapolis, Minnesota, USA)
Publisher:   Taylor & Francis Inc
Volume:   397
ISBN:  

9780849306099


Pages:   174
Publication Date:   01 February 1999
Format:   Paperback
Availability:   In Print   Availability explained
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Control of Nonlinear Differential Algebraic Equation Systems with Applications to Chemical Processes


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Author:   Aditya Kumar ,  Prodromos Daoutidis (University of Minnesota, Minneapolis, Minnesota, USA) ,  Prodromos Daoutidis (University of Minnesota, Minneapolis, Minnesota, USA)
Publisher:   Taylor & Francis Inc
Imprint:   CRC Press Inc
Volume:   397
Dimensions:   Width: 15.60cm , Height: 1.10cm , Length: 23.40cm
Weight:   0.263kg
ISBN:  

9780849306099


ISBN 10:   0849306094
Pages:   174
Publication Date:   01 February 1999
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Preface -- 1 DAEs: Background and Concepts -- 1. Introduction -- 1.2 Linear Systems -- 1.3 Nonlinear Systems -- 1.3.1 Descriptions -- 1.3.2 Solvability and Index -- 1.3.3 Comparison of high-index DAE and ODE systems -- 1.3.4 Regularity -- 2 Chemical Process Applications -- 2.1 Reactor with Fast Heat Transfer through Heating Jacket -- 2.2 Reactor with Fast and Slow Reactions -- 2.3 Two-Phase Reactor with Fast Mass Transfer -- 2.4 Cascade of Reactors with High Pressure Gaseous Flow -- 2.5 Reaction-Separation Process Network with Large Recycle -- 2.6 Reactor with High-Gain Pressure Controller -- 2.7 Flow of Incompressible Fluids -- 2.8 Conclusions -- 3 Feedback Control of Regular DAE systems -- 3.1 Introduction -- 3.2 Preliminaries -- 3.3 Derivation of State-Space Realizations -- 3.3.1 Algorithm for reconstruction of algebraic variables -- 3.3.2 State-space realizations of DAE system -- 3.4 State Feedback Controller Synthesis -- 3.4.1 Preliminaries -- 3.4.2 Problem formulation -- 3.4.3 Controller synthesis -- 3.5 Conclusions -- 4 Feedback Control of Nonregular DAE Systems -- 4.1 Introduction -- 4.2 Preliminaries -- 4.3 Algorithm for Derivation of Equivalent DAE System with Explicit Constraints in x Involving u -- 4.4 Dynamic State Feedback Regularization -- 4.5 State-Space Realizations and Controller Synthesis -- 4.6 Conclusions -- 5 Control of DAE Systems with Disturbance Inputs -- 5.1 Introduction -- 5.2 System Description and Preliminaries -- 5.3 Algorithm for Identification of Constraints -- 5.4 State-Space Realizations and Feedforward /State Feedback Control of Regular Systems -- 5.5 Feedforward /State Feedback Regularization and Control r• Nonregular Systems -- 5.6 Conclusions -- 6 DAEs and Singularly Perturbed Systems -- 6.1 Introduction -- 6.2 Standard vs. Nonstandard Singularly Perturbed Systems -- 6.3 Derivation of Standard Singularly Perturbed Representation of Rate-Based Models -- 6.4 Singularly Perturbed Models of Process Networks -- 7 Simulation Studies of Chemical Process Applications -- 7.1 A CSTR with heating jacket -- 7.2 A CSTR with multiple reactions -- 7.3 Two-Phase Reactor -- 7.3.1 State-space realization -- 7.3.2 Controller synthesis -- 7.3.3 Discussion of controller performance -- 7.4 Reactor-Condenser Network -- 7.4.1 Process description and modeling -- 7.4.2 Feedforward /feedback regularization and state-space realization -- 7.4.3 Feedforward /feedback controller synthesis and control performance -- Bibliography.

Reviews

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


""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


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University of Minnesota. University of Minnesota.

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