PUBLICATIONS - BOOKS
| Title: |
Pole Assignment for Uncertain Systems |
| Author: | M T Söylemez |
| Year: | 1999 |
| Publisher: | Research Studies Press, Baldock |
| ISBN: | 0-86380-246-X |
| Pages: | 237 + xxii |
| Preface: | It has been long observed that the poles play a very critical role not only in the stability, but also in the dynamic response of
linear systems. By knowing a system's poles, we can have a rough idea about the response of the system to a given input. This means
that in controlling a linear time-invariant system if we can determine the system's poles under closed-loop conditions, we will
have a firm idea about the stability and dynamic response of the closed-loop system. In fact, it has been shown that under certain
conditions it is possible to assign the closed-loop poles arbitrarily. In this book, the pole assignment problem is examined for systems with parametric uncertainty. Here, the classical pole assignment problem is generalised in the sense that the set of pole assignment compensators that give a solution to a particular pole assignment problem are considered. The use of computer algebra methods makes it easy to obtain such general solutions. A unification of dyadic state-feedback pole assignment methods, which provides a basic understanding of many pole assignment techniques, is given as a first step. Then, several techniques for the classical pole assignment problem are summarized in the context of the general pole assignment problem. A general solution method, which is recently introduced by the author and called the Generalised Mapping Approach, to the full-rank state-feedback pole assignment problem forms the heart of the main discussions in the book. By extending this approach to the output-feedback case for both static and dynamic compensators, many interesting new results are presented. The robust controller design problem is discussed towards the end of the book. A brief introduction of some well-known post Kharitonov results together with a new concept called pole colouring, which is recently introduced by the author, is given to this end. A technique proposed to find robust pole assignment compensators is particularly interesting. Using this technique, it is possible to reduce the synthesis problem to an analysis problem in many cases. Further problems such as increasing the real stability radius and zero assignment are also considered in the book. |
  
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