Control of nonlinear differential algebraic equation systems : with applications to chemical processes
著者
書誌事項
Control of nonlinear differential algebraic equation systems : with applications to chemical processes
(Research notes in mathematics, 397)
Chapman & Hall/CRC, c1999
- : pbk
大学図書館所蔵 全52件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
注記
Includes bibliographical references (p. 153-163) and index
内容説明・目次
内容説明
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 characteristics of nonlinear DAE systems and the methods used to address their control, then discusses the significance of DAE systems to the modeling and control of chemical processes. Within a unified framework, Control of Nonlinear Differential Algebraic Equation Systems presents recent results on the stabilization, output tracking, and disturbance elimination for a large class of nonlinear DAE systems.
Written at a basic mathematical level-assuming some familiarity with analysis and control of nonlinear ODEs-the authors focus on continuous-time systems of differential and algebraic equations in semi-explicit form. Beginning with background material about DAE systems and their differences from ODE systems, the book discusses generic classes of chemical processes, feedback control of regular and non-regular DAE systems, control of systems with disturbance inputs, the connection of the DAE systems considered with singularly perturbed systems, and finally offers examples that illustrate the application of control methods and the advantages of using high-index DAE models as the basis for controller design.
Mathematicians and engineers will find that this book provides unique, timely results that also clearly documents the relevance of DAE systems to chemical processes.
目次
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.
「Nielsen BookData」 より