Operator Approach to Linear Control Systems

Language: English

Published by Springer, Springer, 2014

9401065446 / 9789401065443

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Druck auf Anfrage Neuware - Printed after ordering - The idea of optimization runs through most parts of control theory. The simplest optimal controls are preplanned (programmed) ones. The problem of constructing optimal preplanned controls has been extensively worked out in literature (see, e. g. , the Pontrjagin maximum principle giving necessary conditions of preplanned control optimality). However, the concept of op timality itself has a restrictive character: it is limited by what one means under optimality in each separate case. The internal contradictoriness of the preplanned control optimality ('the better is the enemy of the good') yields that the practical significance of optimal preplanned controls proves to be not great: such controls are usually sensitive to unregistered disturbances (includ ing the round-off errors which are inevitable when computer devices are used for forming controls), as there is the effect of disturbance accumulation in the control process which makes controls to be of little use on large time inter vals. This gap is mainly provoked by oversimplified settings of optimization problems. The outstanding result of control theory established in the end of the first half of our century is that controls in feedback form ensure the weak sensitivity of closed loop systems with respect to 'small' unregistered internal and external disturbances acting in them (here we do not need to discuss performance indexes, since the considered phenomenon is of general nature). But by far not all optimal preplanned controls can be represented in a feedback form.

Seller Inventory # 9789401065443

Title
Operator Approach to Linear Control Systems
Author
A. Cheremensky
Publisher
Springer, Springer
Publication year
2014
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
9401065446
ISBN 13
9789401065443
Item weight
628 grams
Dimensions
235x155x23 mm

AHA-BUCH GmbH

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