Multivariable Feedback Control Analysis and Design

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Edition: 2nd
Format: Paperback
Pub. Date: 2005-11-04
Publisher(s): Wiley-Interscience
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Summary

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

Author Biography

Professor Sigurd Skogestad, Norwegian University of Science and Technology (NTNU)
Head of the Department of Chemical Engineering. Author of more than 100 journal publications and 150 conference publications. He was awarded "Innstilling to the King" for his Siv.Ing. degree in 1979, a Fullbright fellowship in 1983, received the Ted Peterson Award from AIChE in 1989, the George S. Axelby Outstanding Paper Award from IEEE in 1990, and the O. Hugo Schuck Best Paper Award from the American Automatic Control Council in 1992.

Professor Ian Postlethwaite, University of Leicester, UK
Head of Engineering Department, Fellow of the Institute of Electrical and Electronics Engineers, Fellow of the Institution of Electrical Engineers, and a Fellow of the Institute of Measurement and Control. In 1991 he received the IEE FC Williams Premium, in 2001 the Sir Harold Hartley Medal of the InstMC and in 2002 the Best Paper Prize for an article published in the IFAC Journal of Control Engineering Practice over the period 1999-2002.

Table of Contents

Preface
Introduction
The process of control system design
The control problem
Transfer functions
Scaling
Deriving linear models
Notation
Classical Feedback Control
Frequency response
Feedback control
Closed-loop stability
Evaluating closed-loop performance
Controller design
Loop shaping
IMC design procedure and PID control for stable plants
Shaping closed-loop transfer functions
Conclusion
Introduction to Multivariable Control
Introduction
Transfer functions for MIMO systems
Multivariable frequency response analysis
Relative Gain Array(RGA)
Control of multivariable plants
Introduction to multivariable RHP-zeros
Introduction to MIMO robustness
General control problem formulation
Additional exercises
Conclusion
Elements of Linear System Theory
System descriptions
State controllability and state observability
Stability
Poles
Zeros
Some important remarks on poles and zeros
Internal stability of feedback systems
Stabilizing controllers
Stability analysis in the frequency domain
System norms
Conclusion
Limitations on Performance in Siso Systems
Input-Output Controllability
Fundamental limitations on sensitivity
Fundamental limitations: Bounds on peaks
Perfect control and plant inversion
Ideal ISE optimal control
Limitations imposed by time delays
Limitations imposed by RHP-zeros
Limitations imposed b y phase lag
Limitations imposed by unstable(RHP) poles
Performance requirements imposed by disturbances and commands
Limitations imposed by input constraints
Limitations imposed by uncertainty
Summary: Controllability analysis with feedback control
Summary: Controllability analysis with feed forward control
Applications of controllability analysis
Conclusion
Limitations on Performance in Mimo Systems
Introduction
Fundamental limitations on sensitivity
Fundamental limitations: Bounds on peaks
Functional controllability
Limitations imposed by time delays
Limitations imposed by RHP-zeros
Limitations imposed by unstable(RHP) poles
Performance requirements imposed by disturbances
Limitations imposed by input constraints
Limitations imposed by uncertainty
MIMO Input-output controllability
Conclusion
Uncertainty and Robustness for Siso Systems
Introduction to robustness
Representing uncertainty
Parametric uncertainty
Representing uncertainty in the frequency domain
SISO Robust stability
SISO Robust performance
Additional exercises
Conclusion
Robust Stability and Performance Analysis for Mimosystems
General control configuration with uncertainty
Representing uncertainty
Obtaining -, - and -
Definitions of robust stability and robust performance
Robust stability of the---structure
RS for
Table of Contents provided by Publisher. All Rights Reserved.

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