| Description |
1 online resource (xvii, 246 pages) : illustrations (some color) |
| Series |
Communications and Control Engineering, 0178-5354 |
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Communications and control engineering series.
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| Contents |
Preface; Acknowledgments; Contents; Notations; 1 Introduction; 1.1 On the Origin and History of S-Variable Approach; 1.2 On the Denomination S-Variable LMI; 1.3 Other Denominations Used in Existing Literature; 1.4 Overview of Selected Topics; References; 2 Robust Performance Analysis of LTI Systems; 2.1 Introduction; 2.2 Robust Stability Analysis of Uncertain LTI Systems; 2.3 Robust Stability Analysis Using S-Variable Approach; 2.4 Lemmas for SV-LMI Derivation; 2.5 SV-LMI Results for Robust Performance Analysis Problems; 2.5.1 Robust Regional Pole Location Analysis |
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2.5.2 Robust H2 Performance Analysis2.5.3 Robust Hinfty Performance Analysis; 2.5.4 Robust Impulse-To-Peak Performance Analysis; 2.6 Numerical Examples; 2.6.1 Quarter-Car Suspension Example; 2.6.2 Stability of Randomly Generated Examples; 2.7 Conclusions; References; 3 Descriptor Case and System Augmentation; 3.1 Robust Stability of Systems in Descriptor Form; 3.1.1 Systems in Descriptor Form; 3.1.2 Stability; 3.1.3 Uncertain Descriptor Systems; 3.1.4 S-Variable Results for Robust Stability; 3.1.5 Performances; 3.2 Reducing Size of SV-LMIs; 3.2.1 Removing Parameter Independent Rows |
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3.2.2 Removing Some Parameter Independent Columns3.3 System Augmentation and Conservatism Reduction; 3.3.1 Source of Conservatism; 3.3.2 Preliminary Discussions About Conservatism Reduction; 3.3.3 Robust Stability; 3.3.4 Regional Finite Pole Location; 3.3.5 L2-induced Norm Performance; 3.4 Exactness Verification; 3.5 Numerical Examples; 3.5.1 Quarter-Car Suspension Example; 3.5.2 Randomly Generated Examples; 3.5.3 Satellite Example; 3.6 Conclusion; References; 4 Robust State-Feedback Synthesis for LTI Systems; 4.1 Introduction; 4.2 Preliminaries; 4.3 Stabilization of Discrete-Time Systems |
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4.3.1 Recursive and Variational Representations4.3.2 LMIs for Stabilization; 4.3.3 More LMIs Parameterized by Schur Stable Matrices; 4.3.4 Conclusions on the State-Feedback Stabilization of Discrete-Time Systems; 4.4 The Continuous-Time Case; 4.4.1 LMIs Parameterized by Hurwitz Stable Matrices; 4.4.2 An Unsolved Issue; 4.5 Pole Location in Subregions of the Complex Plane; 4.5.1 The Multiperformance Pole Location Problem; 4.5.2 LMIs Parameterized by a Matrix Pencil; 4.5.3 LMIs for Pole Location in Convex Regions; 4.5.4 Pole Location in Intersections of Regions; 4.5.5 Heuristic Algorithms |
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4.6 Numerical Examples on Quarter-Car Suspension Model4.6.1 Intersection of Interiors of Two Discs; 4.6.2 Intersection of the Interior of a Disc and Exterior of Another; 4.6.3 Intersection of a Disc and of a Half Plane; 4.7 Conclusion; References; 5 Multiobjective Controller Synthesis for LTI Systems; 5.1 Introduction; 5.2 Multiobjective Controller Synthesis for Discrete-Time LTI Systems; 5.3 Basic Results for Discrete-Time System Analysis; 5.4 State-Feedback Multiobjective H2/Hinfty Controller Synthesis; 5.5 Output-Feedback Multiobjective H2/Hinfty Controller Synthesis |
| Summary |
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 no |
| Analysis |
engineering |
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optimalisatie |
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optimization |
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controle |
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control |
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regeltheorie |
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control theory |
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Engineering (General) |
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Techniek (algemeen) |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Online resource; title from PDF title page (SpringerLink, viewed November 6, 2014) |
| Subject |
Robust control.
|
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Cybernetics & systems theory.
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Optimization.
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Automatic control engineering.
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TECHNOLOGY & ENGINEERING -- Engineering (General)
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Robust control
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| Form |
Electronic book
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| Author |
Peaucelle, Dimitri, author
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|
Arzelier, Denis, author
|
| ISBN |
9781447166061 |
|
144716606X |
|
1447166051 |
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9781447166054 |
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