| Description |
1 online resource |
| Series |
Studies in systems, decision and control ; volume 78 |
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Studies in systems, decision and control ; v. 78.
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| Contents |
Preface; Contents; Abbreviations; Part I Preliminaries; 1 Singular Perturbation Methods and Time-Scale Techniques; 1.1 Modelling; 1.1.1 Singularly Perturbed Phenomena; 1.1.2 Linear Time-Invariant Singularly Perturbed Systems; 1.1.3 Nonlinear Singularly Perturbed Systems; 1.1.4 Hybrid Singularly Perturbed Systems; 1.2 Time-Scale and Frequency-Scale Analysis; 1.2.1 Time-Scale and Multiple Time-Scales; 1.2.2 Multiple Frequency-Scales; 1.3 Slow-Fast Decomposition Method; 1.3.1 Decoupling Transformation; 1.3.2 Construction of Slow and Fast Subsystems; 1.4 Controllability and Observability |
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1.5 ConclusionReferences; 2 Theoretical Foundation of Finite Frequency Control; 2.1 The Laplace Transform; 2.2 Frequency Division Strategies; 2.2.1 Weighting Functions; 2.2.2 General Kalman-Yakubovich-Popov Lemma; 2.3 Characterization of Control Performance Index; 2.3.1 Characterization of Finite Frequency Ranges; 2.3.2 Window Norm; 2.3.3 Frequency Domain Inequalities; 2.4 Conclusion; References; Part II Singularly Perturbed Systems Analysis and Synthesis; 3 Stabilization of Singularly Perturbed Systems; 3.1 Stability Analysis of Dynamical Systems; 3.2 Stability Analysis and Integration |
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3.3 Stability Theory on Time Domain3.3.1 Method Based on Slow and Fast Subsystems; 3.3.2 A Descriptor-System Method; 3.4 Stability Theory on Frequency Domain; 3.5 Conclusion; References; 4 Finite Frequency Hinfty Control for Singularly Perturbed Systems; 4.1 Background Information for Hinfty Control of Singularly Perturbed Systems; 4.2 Finite Frequency Hinfty State Feedback Control; 4.3 Finite Frequency Hinfty Output Feedback Control; 4.3.1 The Slow Subsystem and Associated Hinfty Controller in the Low-Frequency Domain |
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4.3.2 The Fast Subsystem and Associated Controller in the High-Frequency Domain4.4 A Descriptor-System Approach for Hinfty Control of Singularly Perturbed Systems; 4.4.1 Shaping the High-Frequency Characteristics of a Singularly Perturbed Systems; 4.4.2 Shaping the Low-frequency Characteristics of a Singularly Perturbed Systems; 4.5 Finite Frequency Hinfty Tracking Problem; 4.6 Finite Frequency Hinfty Model Matching Problem; 4.7 Conclusion; References; 5 Finite Frequency Positive Real Control for Singularly Perturbed Systems; 5.1 Passivity and Positive Real Property |
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5.2 Methods Based on Slow-Fast Decomposition5.2.1 State Feedback Control for General Linear Systems; 5.2.2 Finite Frequency Positive Real Control for Singularly Perturbed Systems; 5.3 A Descriptor-System Method for Strictly Positive Real #x83;; 5.4 Conclusion; References; 6 The Sensitivity-Shaping Problem for Singularly Perturbed Systems; 6.1 Sensitivity Function and Complementary Sensitivity Function; 6.2 Finite Frequency S/T Mixed Sensitivity Design for SISO Singularly Perturbed Systems; 6.3 Finite Frequency H_/Hinfty Control for MIMO Singularly Perturbed Systems |
| Summary |
This book is a self-contained collection of recent research findings providing a comprehensive and systematic unified framework for both analysis and synthesis for singularly perturbed systems. It paves the way for the gap between frequency-domain-transfer-function-based results and time-domain-state-space-based results to be bridged. It is divided into three parts focusing on: fundamental background of singular perturbation; general singular perturbation methodologies and time-scale techniques and the theoretical foundation of finite-frequency control; the analysis and synthesis of singularly perturbed systems; and real-world engineering applications implementing the results developed in systems like wind turbines and autonomous-aerial-vehicle hovering. It also presents solutions to analysis and design problems in terms of linear matrix inequalities. Lastly, it provides valuable reference material for researchers who wish to explore the design of controllers for such systems |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Print version record |
| Subject |
Singular perturbations (Mathematics)
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MATHEMATICS -- Calculus.
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MATHEMATICS -- Mathematical Analysis.
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Singular perturbations (Mathematics)
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| Form |
Electronic book
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| Author |
Cai, Chenxiao, author
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Wang, Zidong, 1966- author.
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Xu, Jing, 1965- author.
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Zou, Yun, author
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| ISBN |
9783319454054 |
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3319454056 |
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