Cooperative Control of Dynamical Systems (eBook)

Applications to Autonomous Vehicles

(Autor)

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2009 | 1. Auflage
XVI, 325 Seiten
Springer London (Verlag)
978-1-84882-325-9 (ISBN)

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Cooperative Control of Dynamical Systems -  Zhihua Qu
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Stability theory has allowed us to study both qualitative and quantitative properties of dynamical systems, and control theory has played a key role in designing numerous systems. Contemporary sensing and communication n- works enable collection and subscription of geographically-distributed inf- mation and such information can be used to enhance signi?cantly the perf- manceofmanyofexisting systems. Throughasharedsensing/communication network,heterogeneoussystemscannowbecontrolledtooperaterobustlyand autonomously; cooperative control is to make the systems act as one group and exhibit certain cooperative behavior, and it must be pliable to physical and environmental constraints as well as be robust to intermittency, latency and changing patterns of the information ?ow in the network. This book attempts to provide a detailed coverage on the tools of and the results on analyzing and synthesizing cooperative systems. Dynamical systems under consideration can be either continuous-time or discrete-time, either linear or non-linear, and either unconstrained or constrained. Technical contents of the book are divided into three parts. The ?rst part consists of Chapters 1, 2, and 4. Chapter 1 provides an overview of coope- tive behaviors, kinematical and dynamical modeling approaches, and typical vehicle models. Chapter 2 contains a review of standard analysis and design tools in both linear control theory and non-linear control theory. Chapter 4 is a focused treatment of non-negativematrices and their properties,multipli- tive sequence convergence of non-negative and row-stochastic matrices, and the presence of these matrices and sequences in linear cooperative systems.

Dr. Qu's areas of expertise are non-linear systems theory, non-linear robust control, various advanced control methodologies, robotics and other areas of control applications. Dr. Qu is the author of two books, Robust Control Design for Nonlinear Uncertain Systems by John Wiley Interscience (1998) and Robust Tracking Control of Robot Manipulators by IEEE Press (1996). His publications also include over 100 archival journal papers and about 200 book chapters and conference articles. His research has been supported by governmental agencies (NSF, AFOSR, NASA) and industry, and the funding he received exceeds 3 million. Dr. Qu is a senior member of IEEE and currently serving as Associate Editor for Automatica and for International Journal of Robotics and Automation.


Stability theory has allowed us to study both qualitative and quantitative properties of dynamical systems, and control theory has played a key role in designing numerous systems. Contemporary sensing and communication n- works enable collection and subscription of geographically-distributed inf- mation and such information can be used to enhance signi?cantly the perf- manceofmanyofexisting systems. Throughasharedsensing/communication network,heterogeneoussystemscannowbecontrolledtooperaterobustlyand autonomously; cooperative control is to make the systems act as one group and exhibit certain cooperative behavior, and it must be pliable to physical and environmental constraints as well as be robust to intermittency, latency and changing patterns of the information ?ow in the network. This book attempts to provide a detailed coverage on the tools of and the results on analyzing and synthesizing cooperative systems. Dynamical systems under consideration can be either continuous-time or discrete-time, either linear or non-linear, and either unconstrained or constrained. Technical contents of the book are divided into three parts. The ?rst part consists of Chapters 1, 2, and 4. Chapter 1 provides an overview of coope- tive behaviors, kinematical and dynamical modeling approaches, and typical vehicle models. Chapter 2 contains a review of standard analysis and design tools in both linear control theory and non-linear control theory. Chapter 4 is a focused treatment of non-negativematrices and their properties,multipli- tive sequence convergence of non-negative and row-stochastic matrices, and the presence of these matrices and sequences in linear cooperative systems.

Dr. Qu's areas of expertise are non-linear systems theory, non-linear robust control, various advanced control methodologies, robotics and other areas of control applications. Dr. Qu is the author of two books, Robust Control Design for Nonlinear Uncertain Systems by John Wiley Interscience (1998) and Robust Tracking Control of Robot Manipulators by IEEE Press (1996). His publications also include over 100 archival journal papers and about 200 book chapters and conference articles. His research has been supported by governmental agencies (NSF, AFOSR, NASA) and industry, and the funding he received exceeds 3 million. Dr. Qu is a senior member of IEEE and currently serving as Associate Editor for Automatica and for International Journal of Robotics and Automation.

Preface 6
Contents 9
List of Figures 13
1 Introduction 15
1.1 Cooperative, Pliable and Robust Systems 15
1.2 Modeling of Constrained Mechanical Systems 25
1.3 Vehicle Models 32
1.4 Control of Heterogeneous Vehicles 48
1.5 Notes and Summary 51
2 Preliminaries on Systems Theory 52
2.1 Matrix Algebra 52
2.2 Useful Theorems and Lemma 56
2.3 Lyapunov Stability Analysis 61
2.4 Stability Analysis of Linear Systems 75
2.5 Controllability 82
2.6 Non-linear Design Approaches 86
2.7 Notes and Summary 92
3 Control of Non-holonomic Systems 94
3.1 Canonical Form and Its Properties 94
3.2 Steering Control and Real-time Trajectory Planning 111
3.3 Feedback Control of Non-holonomic Systems 129
3.4 Control of Vehicle Systems 143
3.5 Notes and Summary 160
4 Matrix Theory for Cooperative Systems 165
4.1 Non-negative Matrices and Their Properties 165
4.2 Importance of Non-negative Matrices 173
4.3 M-matrices and Their Properties 179
4.4 Multiplicative Sequence of Row-stochastic Matrices 189
4.5 Notes and Summary 204
5 Cooperative Control of Linear Systems 206
5.1 Linear Cooperative System 206
5.2 Linear Cooperative Control Design 212
5.3 Applications of Cooperative Control 221
5.4 Ensuring Network Connectivity 234
5.5 Average System and Its Properties 237
5.6 Cooperative Control Lyapunov Function 240
5.7 Robustness of Cooperative Systems 249
5.8 Integral Cooperative Control Design 259
5.9 Notes and Summary 262
6 Cooperative Control of Non-linear Systems 264
6.1 Networked Systems with Balanced Topologies 265
6.2 Networked Systems of Arbitrary Topologies 267
6.3 Cooperative Control Design 277
6.4 Discrete Systems and Algorithms 289
6.5 Driftless Non-holonomic Systems 292
6.6 Robust Cooperative Behaviors 299
6.7 Notes and Summary 307
References 314
Index 329

Erscheint lt. Verlag 7.2.2009
Zusatzinfo XVI, 325 p.
Verlagsort London
Sprache englisch
Themenwelt Informatik Theorie / Studium Künstliche Intelligenz / Robotik
Technik Elektrotechnik / Energietechnik
Technik Maschinenbau
Schlagworte autonom • Autonomous Guidance • Autonomous Vehicles • Communication • Control • Control Applications • control engineering • Cooperative Control • Feedback Stabilization • Mobile Robot • Non-linear control • robot • Robotics • Robust Control • sensing • Trackiing Control • Tracking Control • Trajectory Generation
ISBN-10 1-84882-325-8 / 1848823258
ISBN-13 978-1-84882-325-9 / 9781848823259
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