The book is devoted to the perturbation analysis of matrix equations. The importance of perturbation analysis is that it gives a way to estimate the influence of measurement and/or parametric errors in mathematical models together with the rounding errors done in the computational process. The perturbation bounds may further be incorporated in accuracy estimates for the solution computed in finite arithmetic. This is necessary for the development of reliable computational methods, algorithms and software from the viewpoint of modern numerical analysis.

In this book a general perturbation theory for matrix algebraic equations is presented. Local and non-local perturbation bounds are derived for general types of matrix equations as well as for the most important equations arising in linear algebra and control theory. A large number of examples, tables and figures is included in order to illustrate the perturbation techniques and bounds.

Key features:

The first book in this field
Can be used by a variety of specialists
Material is self-contained
Results can be used in the development of reliable computational algorithms
A large number of examples and graphical illustrations are given
Written by prominent specialists in the field
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Robust Control Design with MATLAB (R) (second edition) helps the student to learn how to use well-developed advanced robust control design methods in practical cases. To this end, several realistic control design examples from teaching-laboratory experiments, such as a two-wheeled, self-balancing robot, to complex systems like a flexible-link manipulator are given detailed presentation. All of these exercises are conducted using MATLAB (R) Robust Control Toolbox 3, Control System Toolbox and Simulink (R). By sharing their experiences in industrial cases with minimum recourse to complicated theories and formulae, the authors convey essential ideas and useful insights into robust industrial control systems design using major H-infinity optimization and related methods allowing readers quickly to move on with their own challenges. The hands-on tutorial style of this text rests on an abundance of examples and features for the second edition: * rewritten and simplified presentation of theoretical and methodological material including original coverage of linear matrix inequalities; * new Part II forming a tutorial on Robust Control Toolbox 3; * fresh design problems including the control of a two-rotor dynamic system; and * end-of-chapter exercises. Electronic supplements to the written text that can be downloaded from extras.springer.com/isbn include: * M-files developed with MATLAB (R) help in understanding the essence of robust control system design portrayed in text-based examples; * MDL-files for simulation of open- and closed-loop systems in Simulink (R); and * a solutions manual available free of charge to those adopting Robust Control Design with MATLAB (R) as a textbook for courses. Robust Control Design with MATLAB (R) is for graduate students and practising engineers who want to learn how to deal with robust control design problems without spending a lot of time in researching complex theoretical developments.