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S-Variable Approach to LMI-Based Robust Control

S-Variable Approach to LMI-Based Robust Control

Paperback

Series: Communications and Control Engineering

Technology & EngineeringGeneral MathematicsGeneral Science

ISBN10: 1447172698
ISBN13: 9781447172697
Publisher: Springer Nature
Published: Sep 22 2016
Pages: 246
Weight: 0.83
Height: 0.56 Width: 6.14 Depth: 9.21
Language: English

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.

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