Multivariable Feedback Control: Analysis and Design, 2/e

Sigurd Skogestad, Ian Postlethwaite

  • 出版商: Wiley
  • 出版日期: 2005-11-04
  • 售價: $7,040
  • 貴賓價: 9.5$6,688
  • 語言: 英文
  • 頁數: 590
  • 裝訂: Hardcover
  • ISBN: 047001167X
  • ISBN-13: 9780470011676
  • 海外代購書籍(需單獨結帳)

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Description:

Multivariable Feedback Control: Analysis and Design, Second Edition presents a rigorous, yet easily readable, introduction to the analysis and design of robust multivariable control systems.  Focusing on practical feedback control and not on system theory in general, this book provides the reader with insights into the opportunities and limitations of feedback control.

Taking into account the latest developments in the field, this fully revised and updated second edition:

  • features a new chapter devoted to the use of linear matrix inequalities (LMIs);
  • presents current results on fundamental performance limitations introduced by RHP-poles and RHP-zeros;
  • introduces updated material on the selection of controlled variables and self-optimizing control;
  • provides simple IMC tuning rules for PID control;
  • covers additional material including unstable plants, the feedback amplifier, the lower gain margin and a clear strategy for incorporating integral action into LQG control;
  • includes numerous worked examples, exercises and case studies, which make frequent use of Matlab and the new Robust Control toolbox.

Multivariable Feedback Control: Analysis and Design, Second Edition is an excellent resource for advanced undergraduate and graduate courses studying multivariable control. It is also an invaluable tool for engineers who want to understand multivariable control, its limitations, and how it can be applied in practice. The analysis techniques and the material on control structure design should prove very useful in the new emerging area of systems biology.

Reviews of the first edition:

“Being rich in insights and practical tips on controller design, the book should also prove to be very beneficial to industrial control engineers, both as a reference book and as an educational tool.” Applied Mechanics Reviews

“In summary, this book can be strongly recommended not only as a basic text in multivariable control techniques for graduate and undergraduate students, but also as a valuable source of information for control engineers.” International Journal of Adaptive Control and Signal Processing

 

Table of Contents:

Preface.

1. INTRODUCTION.

1.1 The process of control system design.

1.2 The control problem.

1.3 Transfer functions.

1.4 Scaling.

1.5 Deriving linear models.

1.6 Notation.

2. CLASSICAL FEEDBACK CONTROL.

2.1 Frequency response.

2.2 Feedback control.

2.3 Closed-loop stability.

2.4 Evaluating closed-loop performance.

2.5 Controller design.

2.6 Loop shaping.

2.7 IMC design procedure and PID control for stable plants.

2.8 Shaping closed-loop transfer functions.

2.9 Conclusion.

3. INTRODUCTION TO MULTIVARIABLE CONTROL.

3.1 Introduction.

3.2 Transfer functions for MIMO systems.

3.3 Multivariable frequency response analysis.

3.4 Relative Gain Array(RGA).

3.5 Control of multivariable plants.

3.6 Introduction to multivariable RHP-zeros.

3.7 Introduction to MIMO robustness.

3.8 General control problem formulation.

3.9 Additional exercises.

3.10 Conclusion.

4. ELEMENTS OF LINEAR SYSTEM THEORY.

4.1 System descriptions.

4.2 State controllability and state observability.

4.3 Stability.

4.4 Poles.

4.5 Zeros.

4.6 Some important remarks on poles and zeros.

4.7 Internal stability of feedback systems.

4.8 Stabilizing controllers.

4.9 Stability analysis in the frequency domain.

4.10 System norms.

4.11 Conclusion.

5. LIMITATIONS ON PERFORMANCE IN SISO SYSTEMS.

5.1 Input-Output Controllability.

5.2 Fundamental limitations on sensitivity.

5.3 Fundamental limitations: Bounds on peaks.

5.4 Perfect control and plant inversion.

5.5 Ideal ISE optimal control.

5.6 Limitations imposed by time delays.

5.7 Limitations imposed by RHP-zeros.

5.8 Limitations imposed b y phase lag.

5.9 Limitations imposed by unstable(RHP) poles.

5.10 Performance requirements imposed by disturbances and commands.

5.11 Limitations imposed by input constraints.

5.12 Limitations imposed by uncertainty.

5.13 Summary: Controllability analysis with feedback control.

5.14 Summary: Controllability analysis with feed forward control.

5.15 Applications of controllability analysis.

5.16 Conclusion.

6. LIMITATIONS ON PERFORMANCE IN MIMO SYSTEMS.

6.1 Introduction.

6.2 Fundamental limitations on sensitivity.

6.3 Fundamental limitations: Bounds on peaks.

6.4 Functional controllability.

6.5 Limitations imposed by time delays.

6.6 Limitations imposed by RHP-zeros.

6.7 Limitations imposed by unstable(RHP) poles.

6.8 Performance requirements imposed by disturbances.

6.9 Limitations imposed by input constraints.

6.10 Limitations imposed by uncertainty.

6.11 MIMO Input-output controllability.

6.12 Conclusion.

7. UNCERTAINTY AND ROBUSTNESS FOR SISO SYSTEMS.

7.1 Introduction to robustness.

7.2 Representing uncertainty.

7.3 Parametric uncertainty.

7.4 Representing uncertainty in the frequency domain.

7.5 SISO Robust stability.

7.6 SISO Robust performance.

7.7 Additional exercises.

7.8 Conclusion.

8. ROBUST STABILITY AND PERFORMANCE ANALYSIS FOR MIMO

SYSTEMS.

8.1 General control configuration with uncertainty.

8.2 Representing uncertainty.

8.3 Obtaining _, _ and _ .

8.4 Definitions of robust stability and robust performance.

8.5 Robust stability of the__-structure.

8.6 RS for complex unstructured uncertainty.

8.7 Rs with structured uncertainty : Motivation.

8.8 The structured singular value.

8.9 Robust stability with structured uncertainty.

8.10 Robust performance.

8.11 Application: RP with input uncertainty.

8.12 _-synthesis and __-iteration.

8.13 Further remarks on _.

8.14 Conclusion.

9. CONTROLLER DESIGN.

9.1 Trade-offs in MIMO feedback design.

9.2 LQG control.

9.3 __ and __ control.

9.4 __ loop-shaping design.

9.5 Conclusion.

10. CONTROL STRUCTURE DESIGN.

10.1 Introduction.

10.2 Optimal operation and control.

10.3 Selection of primary controlled outputs.

10.4 Regulatory control layer.

10.5 Control configuration elements.

10.6 Control configurations: Decentralized feedback control.

10.7 Conclusion.

11. MODEL REDUCTION.

11.1 Introduction.

11.2 Truncation and residualization.

11.3 Balanced realizations.

11.4 Balanced truncation and balanced residualization.

11.5 Optimal Hankel norm approximation.

11.6 Reduction of unstable models.

11.7 Model reduction using Matlab.

11.8 Two practical examples.

11.9 Conclusion.

12. LINEAR MATRIX INEQUALITIES.

12.1 Introduction to LMI problems.

12.2 Types of LMI problems.

12.3 Tricks in LMI problems.

12.4 Case study: anti-windup compensator synthesis.

12.5 Conclusion.

13. CASE STUDIES.

13.1 Introduction.

13.2 Helicopter control.

13.3 Aero-engine control.

13.4 Distillation process.

13.5 Conclusion.

APPENDIX A: MATRIX THEORY AND NORMS.

A.1 Basics.

A.2 Eigen values and eigen vectors.

A.3 Singular Value Decomposition.

A.4 Relative Gain Array.

A.5 Norms.

A.6 All pass factorization of transfer function matrices.

A.7 Factorization of the sensitivity function.

A.8 Linear fractional transformations.

APPENDIX B: PROJECTWORK and SAMPLE EXAM.

B.1 Project work.

B.2 Sample exam.

Bibliography.

Index.

商品描述(中文翻譯)

描述:



多變量反饋控制:分析與設計,第二版提供了一個嚴謹但易於閱讀的介紹,關於強健多變量控制系統的分析和設計。本書專注於實用的反饋控制,而不是一般的系統理論,為讀者提供了對反饋控制的機會和限制的深入理解。


考慮到該領域的最新發展,這本完全修訂和更新的第二版:



  • 增加了一章專門介紹線性矩陣不等式(LMIs)的使用;

  • 介紹了由RHP極點和RHP零點引入的基本性能限制的最新結果;

  • 更新了關於選擇受控變量和自優化控制的材料;

  • 提供了用於PID控制的簡單IMC調整規則;

  • 涵蓋了額外的材料,包括不穩定的系統、反饋放大器、較低的增益邊界以及將積分動作納入LQG控制的明確策略;

  • 包含了大量的實例、練習和案例研究,並且經常使用Matlab和新的強健控制工具箱。


多變量反饋控制:分析與設計,第二版是高級本科和研究生課程的優秀資源,用於研究多變量控制。對於希望了解多變量控制、其限制以及如何應用於實踐的工程師來說,它也是一個寶貴的工具。分析技術和控制結構設計的材料在新興的系統生物學領域中應該非常有用。


第一版的評論:




“這本書在控制器設計方面富有見解和實用技巧,對於工業控制工程師來說,無論是作為參考書還是教學工具,都應該非常有益。” 應用力學評論




“總之,這本書不僅可以強烈推薦作為研究生和本科生多變量控制技術的基礎教材,也可以作為控制工程師的寶貴信息來源。” 國際自適應控制和信號處理期刊





 



目錄:


前言。

1. 引言。


1.1 控制系統設計的過程。


1.2 控制問題。


1.3 傳遞函數。


1.4 縮放。


1.5 推導線性模型。


1.6 表示法。


2. 經典反饋控制。


2.1 頻率響應。


2.2 反饋控制。


2.3 閉環穩定性。


2.4 評估閉環性能。


2.5 控制器設計。


2.6 迴路整形。


2.7 IMC設計程序和穩定系統的PID控制。


2.8 整形閉環傳遞函數。


2.9 結論。


3. 多變量控制簡介。


3.1 簡介。


3.2 MIMO系統的傳遞函數。


3.3 多變量頻率響應分析。


3.4 相對增益矩陣(RGA)。


3.5 多變量系統的控制。


3.6 多變量RHP零點簡介。


3.7 MIMO魯棒性簡介。


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