<電子ブック>
Nonlinear and Robust Control of PDE Systems : Methods and Applications to Transport-Reaction Processes / by Panagiotis D. Christofides
(Systems & Control: Foundations & Applications. ISSN:23249757)
版 | 1st ed. 2001. |
---|---|
出版者 | Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser |
出版年 | 2001 |
本文言語 | 英語 |
大きさ | XVII, 251 p : online resource |
著者標目 | *Christofides, Panagiotis D author SpringerLink (Online service) |
件 名 | LCSH:System theory LCSH:Control theory LCSH:Engineering LCSH:Control engineering LCSH:Robotics LCSH:Automation FREE:Systems Theory, Control FREE:Technology and Engineering FREE:Control, Robotics, Automation |
一般注記 | 1 Introduction -- 1.1 Motivation -- 1.2 Examples of Transport-Reaction Processes -- 1.3 Background on Control of PDE Systems -- 1.4 Objectives and Organization of the Book -- 2 Feedback Control of Hyperbolic PDE Systems -- 2.1 Introduction -- 2.2 First-Order Hyperbolic PDE Systems -- 2.3 Characteristic Index -- 2.4 State Feedback Control -- 2.5 Closed-Loop Stability -- 2.6 Output Feedback Control -- 2.7 Application to a Nonisothermal Plug-Flow Reactor -- 2.8 Conclusions -- 3 Robust Control of Hyperbolic PDE Systems -- 3.1 Introduction -- 3.2 Preliminaries -- 3.3 Uncertainty Decoupling -- 3.4 Robust Control: Uncertain Variables -- 3.5 Two-Time-Scale Hyperbolic PDE Systems -- 3.6 Robustness with Respect to Unmodeled Dynamics -- 3.7 Application to a Fixed-Bed Reactor -- 3.8 Conclusions -- 4 Feedback Control of Parabolic PDE Systems -- 4.1 Introduction -- 4.2 Preliminaries -- 4.3 Examples of Processes Modeled by Nonlinear Parabolic PDEs -- 4.4 Galerkin’s Method -- 4.5 Accuracy of ODE System Obtained From Galerkin’s Method -- 4.6 Construction of ODE Systems of Desired Accuracy via AIMs -- 4.7 Nonlinear Output Feedback Control -- 4.8 Applications -- 4.9 Conclusions -- 5 Robust Control of Parabolic PDE Systems -- 5.1 Introduction -- 5.2 Preliminaries -- 5.3 Robust State Feedback Control of Parabolic PDE Systems -- 5.4 Robust Output Feedback Controller Synthesis -- 5.5 Application to a Catalytic Rod with Uncertainty -- 5.6 Conclusions -- 6 Nonlinear and Robust Control of Parabolic PDE Systems with Time-Dependent Spatial Domains -- 6.1 Introduction -- 6.2 Preliminaries -- 6.3 Nonlinear Model Reduction -- 6.4 Nonlinear Output Feedback Control -- 6.5 Application to a Catalytic Rod with Moving Boundary -- 6.6 Robust Control of Parabolic PDEs with Time-Dependent Spatial Domains -- 6.7 Application to a Catalytic Rod withMoving Boundary and Uncertainty -- 6.8 Conclusions -- 7 Case Studies -- 7.1 Nonlinear Control of Rapid Thermal Chemical Vapor Deposition -- 7.2 Nonlinear Control of Czochralski Crystal Growth -- 7.3 Conclusions -- Appendix A: Proofs of Chapter 2 -- Appendix B: Proofs of Chapter 3 -- Appendix C: Proofs of Chapter 4 -- Appendix D: Proofs of Chapter 5 -- Appendix E: Proofs of Chapter 6 -- Appendix F: Karhunen-Loève Expansion -- References The interest in control of nonlinear partial differential equation (PDE) sys tems has been triggered by the need to achieve tight distributed control of transport-reaction processes that exhibit highly nonlinear behavior and strong spatial variations. Drawing from recent advances in dynamics of PDE systems and nonlinear control theory, control of nonlinear PDEs has evolved into a very active research area of systems and control. This book the first of its kind- presents general methods for the synthesis of nonlinear and robust feedback controllers for broad classes of nonlinear PDE sys tems and illustrates their applications to transport-reaction processes of industrial interest. Specifically, our attention focuses on quasi-linear hyperbolic and parabolic PDE systems for which the manipulated inputs and measured and controlled outputs are distributed in space and bounded. We use geometric and Lyapunov-based control techniques to synthesize nonlinear and robust controllers that use a finite number of measurement sensors and control actuators to achieve stabilization of the closed-loop system, output track ing, and attenuation of the effect of model uncertainty. The controllers are successfully applied to numerous convection-reaction and diffusion-reaction processes, including a rapid thermal chemical vapor deposition reactor and a Czochralski crystal growth process. The book includes comparisons of the proposed nonlinear and robust control methods with other approaches and discussions of practical implementation issues HTTP:URL=https://doi.org/10.1007/978-1-4612-0185-4 |
目次/あらすじ
所蔵情報を非表示
電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
|
Springer eBooks | 9781461201854 |
|
電子リソース |
|
EB00236866 |
書誌詳細を非表示
データ種別 | 電子ブック |
---|---|
分 類 | LCC:Q295 LCC:QA402.3-402.37 DC23:3 |
書誌ID | 4000104944 |
ISBN | 9781461201854 |
類似資料
この資料の利用統計
このページへのアクセス回数:9回
※2017年9月4日以降