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S-variable approach to LMI-based rob...

Arzelier, Denis.

S-variable approach to LMI-based robust control

Record Type:	Electronic resources : Monograph/item
Title/Author:	S-variable approach to LMI-based robust controlby Yoshio Ebihara, Dimitri Peaucelle, Denis Arzelier.
Author:	Ebihara, Yoshio.
other author:	Peaucelle, Dimitri.
Published:	London :Springer London :2015.
Description:	xvii, 246 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Robust control.
Online resource:	http://dx.doi.org/10.1007/978-1-4471-6606-1
ISBN:	9781447166061 (electronic bk.)

S-variable approach to LMI-based robust control
Ebihara, Yoshio.

S-variable approach to LMI-based robust control[electronic resource] /by Yoshio Ebihara, Dimitri Peaucelle, Denis Arzelier. - London :Springer London :2015. - xvii, 246 p. :ill. (some col.), digital ;24 cm. - Communications and control engineering,0178-5354. - Communications and control engineering..

Introduction -- Robust Performance Analysis of LTI Systems -- Descriptor Case and System Augmentation -- Robust State-Feedback Synthesis for LTI Systems -- Multi-Objective Controller Synthesis for LTI Systems -- Static Output-Feedback Synthesis -- Robust Performance Analysis of Discrete-Time Periodic Systems -- Robust Controller Synthesis of Periodic Discrete-Time Systems.

This book shows how the use of S-variables (SVs) in enhancing the range of problems that can be addressed with the already-versatile linear matrix inequality (LMI) approach to control can, in many cases, be put on a more unified, methodical footing. Beginning with the fundamentals of the SV approach, the text shows how the basic idea can be used for each problem (and when it should not be employed at all). The specific adaptations of the method necessitated by each problem are also detailed. The problems dealt with in the book have the common traits that: analytic closed-form solutions are not available; and LMIs can be applied to produce numerical solutions with a certain amount of conservatism. Typical examples are robustness analysis of linear systems affected by parametric uncertainties and the synthesis of a linear controller satisfying multiple, often conflicting, design specifications. For problems in which LMI methods produce conservative results, the SV approach is shown to achieve greater accuracy. The authors emphasize the simplicity and easy comprehensibility of the SV approach and show how it can be implemented in programs without difficulty so that its power becomes readily apparent. The S-Variable Approach to LMI-Based Robust Control is a useful reference for academic control researchers, applied mathematicians and graduate students interested in LMI methods and convex optimization and will also be of considerable assistance to practising control engineers faced with problems of conservatism in their systems and controllers.

ISBN: 9781447166061 (electronic bk.)

Standard No.: 10.1007/978-1-4471-6606-1doiSubjects--Topical Terms:

278860
Robust control.

LC Class. No.: TJ217.2

Dewey Class. No.: 629.8312

S-variable approach to LMI-based robust control
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505 0 $a Introduction -- Robust Performance Analysis of LTI Systems -- Descriptor Case and System Augmentation -- Robust State-Feedback Synthesis for LTI Systems -- Multi-Objective Controller Synthesis for LTI Systems -- Static Output-Feedback Synthesis -- Robust Performance Analysis of Discrete-Time Periodic Systems -- Robust Controller Synthesis of Periodic Discrete-Time Systems.
520 $a This book shows how the use of S-variables (SVs) in enhancing the range of problems that can be addressed with the already-versatile linear matrix inequality (LMI) approach to control can, in many cases, be put on a more unified, methodical footing. Beginning with the fundamentals of the SV approach, the text shows how the basic idea can be used for each problem (and when it should not be employed at all). The specific adaptations of the method necessitated by each problem are also detailed. The problems dealt with in the book have the common traits that: analytic closed-form solutions are not available; and LMIs can be applied to produce numerical solutions with a certain amount of conservatism. Typical examples are robustness analysis of linear systems affected by parametric uncertainties and the synthesis of a linear controller satisfying multiple, often conflicting, design specifications. For problems in which LMI methods produce conservative results, the SV approach is shown to achieve greater accuracy. The authors emphasize the simplicity and easy comprehensibility of the SV approach and show how it can be implemented in programs without difficulty so that its power becomes readily apparent. The S-Variable Approach to LMI-Based Robust Control is a useful reference for academic control researchers, applied mathematicians and graduate students interested in LMI methods and convex optimization and will also be of considerable assistance to practising control engineers faced with problems of conservatism in their systems and controllers.
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