Review of the book
S. Skogestad and I. Postlethwaite, Multivariable feedback control -
Analysis and design, Wiley, 1996.
Reviewed by L. Bakule (Praha)
Zentralblatt für Mathematik, vol. 883,1998
The book, consisting of a preface, 12 chapters, 2 appendices, a
bibliography and an index, deals with practical feedback control for
linear systems emphasizing results that enhance insight and
intuition. A brief outline of control process is given in the
introduction (Ch. 1). Classical feedback control (Ch. 2), Introduction
to multivariable control (Ch. 3) and Elements of linear system theory
(Ch. 4) include standard topics with emphasis on classical
frequency-domain methods and analysis of directions in multivariable
systems using the singular value decomposition. Limitations of
performance in SISO systems (Ch. 5) and in MIMO systems (Ch. 6)
summarize fundamental limitations on performance using the concept of
input-output controllability analysis (inherent control limitations in
the plant). Uncertainty and robustness for SISO systems (Ch. 7) and
Robustness stability and performance analysis (Ch. 8) cover
uncertainty representation by real and complex real and complex
perturbations. The structured singular value µ is the main
analysis tool. The "optimal" robust controller design in terms of
minimizing µ is described using DK-iteration. Controller design
(Ch. 9) presents practical procedures for multivariable controller
design. Control structure design (Ch. 10) summarizes some basic
concepts for large-scale system control structure selection and
decentralized control. Model reduction (Ch. 11) describes methods for
reducing the order of a plant or of a controller model. Case studies
(Ch. 12) includes three case studies illustrating a number of
important practical issues. Matrix theory and norms (A.A) is included
as background material for the book. In Project work and sample exam
(A.B), a project outline is given together with a simple
exam. Numerous worked-out examples make frequent use of MATLAB. Most
of these use the µ toolbox. MATLAB source files, files used to
generate figures and tables, models for plants, corrections, errors,
etc. ... are available on the authors' home pages under the internet
addresses given in the book. The book provides a very readble text
appropraite both as an introductory graduate course and as an advanced
undergraduate course in multivariable control. It will be certainly
highly appreciated by specialists dealing with practical feedback
control. It will serve as an excellent source of information for
engineers who want to understand multivariable control with its
limitations, and how it can be applied in practice.
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