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

University of Minnesota. University of Minnesota.

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.