| Description |
1 online resource (xiv, 234 pages) : illustrations (some color) |
| Series |
Lecture notes in control and information sciences, 0170-8643 ; volume 470 |
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Lecture notes in control and information sciences ; 470. 0170-8643
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| Contents |
Intro; Preface 1; Preface 2; Acknowledgments; Contents; Part I Nonlinear Control Systems; 1 Controlled Invariant Distributions and Differential Properties; 1.1 Introduction; 1.2 Lifts to the Tangent and Cotangent Bundle; 1.3 Invariance of Distributions and Co-Distributions; 1.3.1 Controlled Invariance; 1.4 Invariant Lagrangian Subbundles and Contraction Analysis; 1.4.1 Prolongation of Nonlinear Control Systems to Tangent and Cotangent Bundle and Further Differential Properties; 1.4.2 Differential Lyapunov Equations; 1.5 Conclusions and Outlook; References |
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2 Some Recent Results on Distributed Control of Nonlinear Systems2.1 Introduction; 2.2 A Cyclic-Small-Gain Result in Digraphs; 2.3 Distributed Output-Feedback Control; 2.3.1 Distributed Output-Feedback Controller; 2.3.2 Cyclic-Small-Gain Synthesis; 2.3.3 Robustness to Time Delays of Information Exchange; 2.4 Formation Control of Nonholonomic Mobile Robots; 2.4.1 Dynamic Feedback Linearization; 2.4.2 A Class of IOS Control Laws; 2.4.3 Distributed Formation Controller Design and Small-Gain Analysis; 2.4.4 Small-Gain Analysis and Proof of Theorem 2.2 |
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2.4.5 Robustness to Relative Position Measurement Errors2.4.6 A Numerical Example; 2.5 Concluding Remarks; References; 3 Convergent Systems: Nonlinear Simplicity; 3.1 Introduction; 3.2 Convergent Systems; 3.2.1 Conditions for Convergence; 3.2.2 Basic Properties of Convergent Systems; 3.3 Controller and Observer Design; 3.4 Stable Inversion of Nonlinear Systems; 3.5 The Output Regulation Problem; 3.6 Frequency Response Functions for Nonlinear Convergent Systems; 3.7 Steady-State Performance Optimization; 3.8 Extremum Seeking Control; 3.9 Model Reduction; 3.10 Conclusions; References |
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Part II Synchronization in Networked Systems4 Synchronisation and Emergent Behaviour in Networks of Heterogeneous Systems: A Control Theory Perspective; 4.1 Introduction; 4.2 The Networked Systems Synchronisation Paradigm; 4.2.1 Network Model; 4.2.2 Dynamic Consensus and Practical Synchronisation; 4.3 Network Dynamics; 4.3.1 New Coordinates; 4.3.2 Dynamics of the Average Unit; 4.3.3 Dynamics of the Synchronisation Errors; 4.4 Stability analysis; 4.4.1 Practical Synchronisation Under Diffusive Coupling; 4.4.2 On Practical Stability of the Collective Network Behaviour; 4.5 Example; References |
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5 Anticipating Synchronization and State Predictor for Nonlinear Systems5.1 Introduction; 5.2 Anticipating Synchronization; 5.3 Synchronization Conditions; 5.3.1 General Approach; 5.3.2 Sector Condition; 5.4 Predictor-Based Control; 5.4.1 System Configuration; 5.4.2 Linearizable Systems; 5.4.3 An Example; 5.5 Conclusions; References; 6 Delays Effects in Dynamical Systems and Networks: Analysis and Control Interpretations; 6.1 Introduction; 6.2 Basic Properties of Time-Delay Systems; 6.2.1 Functional Differential Equation; 6.2.2 Reformulation in a First-Order Form |
| Summary |
This treatment of modern topics related to the control of nonlinear systems is a collection of contributions celebrating the work of Professor Henk Nijmeijer and honoring his 60th birthday. It addresses several topics that have been the core of Professor Nijmeijer's work, namely: the control of nonlinear systems, geometric control theory, synchronization, coordinated control, convergent systems and the control of underactuated systems. The book presents recent advances in these areas, contributed by leading international researchers in systems and control. In addition to the theoretical questions treated in the text, particular attention is paid to a number of applications including (mobile) robotics, marine vehicles, neural dynamics and mechanical systems generally. This volume provides a broad picture of the analysis and control of nonlinear systems for scientists and engineers with an interest in the interdisciplinary field of systems and control theory. The reader will benefit from the expert participants' ideas on important open problems with contributions that represent the state of the art in nonlinear control |
| Notes |
Online resource; title from PDF title page (SpringerLink, viewed July 14, 2016) |
| Subject |
Nonlinear control theory.
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Cybernetics & systems theory.
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Nonlinear science.
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Dynamics & vibration.
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Communications engineering -- telecommunications.
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Robotics.
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Automatic control engineering.
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Science -- System Theory.
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Science -- Chaotic Behavior in Systems.
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Technology & Engineering -- Mechanical.
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Technology & Engineering -- Telecommunications.
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Technology & Engineering -- Robotics.
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Technology & Engineering -- Automation.
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Nonlinear control theory
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| Genre/Form |
Festschriften
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Festschriften.
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| Form |
Electronic book
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| Author |
Wouw, Nathan van de, 1970- editor
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Lefeber, Erjen, editor
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Lopez Arteaga, Ines, editor
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Nijmeijer, H. (Hendrik), 1955- honouree.
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| ISBN |
9783319303574 |
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3319303570 |
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