Operator Approach to Linear Control Systems

ISBN-13: 9789401065443 / Angielski / Miękka / 2014 / 398 str.

A. Cheremensky; V. N. Fomin

Opis

Within the framework of the optimization problem for linear control systems with quadratic performance index (LQP), the operator approach allows the construction of a systems theory including a number of particular infinite-dimensional optimization problems with hardly visible concreteness. This approach yields interesting interpretations of these problems and more effective feedback design methods. This book is unique in its emphasis on developing methods for solving a sufficiently general LQP. Although this is complex material, the theory developed here is built on transparent and relatively simple principles, and readers with less experience in the field of operator theory will find enough material to give them a good overview of the current state of LQP theory and its applications. Audience: Graduate students and researchers in the fields of mathematical systems theory, operator theory, cybernetics, and control systems.

Spis treści

Preface. 1. Introduction. 2. Introduction to systems theory. 3. Resolution spaces. 4. Linear control plants in a resolution space. 5. Linear quadratic optimization in preplanned control class. 6. Linear quadratic optimization in feedback control class. 7. Finite-dimensional LQP. 8. Some computing methods in stationary finite-dimensional SLQPs. Comments. References. Notations and conventions. Index.