Michael Grimble 
Robust Industrial Control Systems 
Optimal Design Approach for Polynomial Systems

Robust Industrial Control Systems: Optimal Design Approach for
Polynomial Systems presents a comprehensive introduction to the
use of frequency domain and polynomial system design techniques for
a range of industrial control and signal processing applications.
The solution of stochastic and robust optimal control problems is
considered, building up from single-input problems and gradually
developing the results for multivariable design of the later
chapters. In addition to cataloguing many of the results in
polynomial systems needed to calculate industrial controllers and
filters, basic design procedures are also introduced which enable
cost functions and system descriptions to be specified in order to
satisfy industrial requirements.

Providing a range of solutions to control and signal processing
problems, this book:

* Presents a comprehensive introduction to the polynomial systems
approach for the solution of H_2 and H_infinity optimal control
problems.

* Develops robust control design procedures using frequency domain
methods.

* Demonstrates design examples for gas turbines, marine systems,
metal processing, flight control, wind turbines, process control
and manufacturing systems.

* Includes the analysis of multi-degrees of freedom controllers and
the computation of restricted structure controllers that are simple
to implement.

* Considers time-varying control and signal processing
problems.

* Addresses the control of non-linear processes using both multiple
model concepts and new optimal control solutions.

Robust Industrial Control Systems: Optimal Design Approach for
Polynomial Systems is essential reading for professional engineers
requiring an introduction to optimal control theory and insights
into its use in the design of real industrial processes. Students
and researchers in the field will also find it an excellent
reference tool.

Table of Content

Preface xix

Acknowledgements xxi

1 Introduction to Optimal and Robust Control 1

2 Scalar H2 and LQG Optimal Control 57

3 H infinity Optimal Control of Scalar Systems 113

4 Multivariable H2/LQG Optimal Control 167

5 Multivariable H infinity Optimal Control 249

6 Robust Control Systems Design and Implementation 299

7 H2 Filtering, Smoothing and Prediction 389

8 H infinity Filtering, Smoothing and Prediction445

9 Applications of H2/LQG Optimal Control 469

10 Industrial Applications of H infinity Optimal Control 529

11 Time-varying and Nonlinear Control 595

Appendix 1 Notation and Mathematical Preliminaries 653

About the author

Professor Michael Grimble, Director of the Industrial Control Centre and Past Chairman of the Department of Electronic and Electrical Engineering, University of Strathclyde, Glasgow, UK