Ebook: Dynamics, Bifurcations, and Control

This volume originates from the Third Nonlinear Control Workshop "- namics, Bifurcations and Control", held in Kloster Irsee, April 1-3 2001. As the preceding workshops held in Paris (2000) and in Ghent (1999), it was organized within the framework of Nonlinear Control Network funded by the European Union (http://www.supelec.fr/lss/NCN). The papers in this volume center around those control problems where phenomena and methods from dynamical systems theory play a dominant role. Despite the large variety of techniques and methods present in the c- tributions, a rough subdivision can be given into three areas: Bifurcation problems, stabilization and robustness, and global dynamics of control s- tems. A large part of the fascination in nonlinear control stems from the fact that is deeply rooted in engineering and mathematics alike. The contributions to this volume reflect this double nature of nonlinear control. We would like to take this opportunity to thank all the contributors and the referees for their careful work. Furthermore, it is our pleasure to thank Franchise Lamnabhi-Lagarrigue, the coordinator of our network, for her s- port in organizing the workshop and the proceedings and for the tremendous efforts she puts into this network bringing the cooperation between the d- ferent groups to a new level. In particular, the exchange and the active p- ticipation of young scientists, also reflected in the Pedagogical Schools within the Network, is an asset for the field of nonlinear control.

---

This book contains a selection of the papers presented at the 3rd NCN Workshop which was focused on "Dynamics, Bifurcations and Control". The peer-reviewed papers describe a number of ways how dynamical systems techniques can be applied for analysis and design problems in control with topics ranging from bifurcation control via stability and stabilizaton to the global dynamical behaviour of control systems. The book gives an overview of the current status of the field.

---

This book contains a selection of the papers presented at the 3rd NCN Workshop which was focused on "Dynamics, Bifurcations and Control". The peer-reviewed papers describe a number of ways how dynamical systems techniques can be applied for analysis and design problems in control with topics ranging from bifurcation control via stability and stabilizaton to the global dynamical behaviour of control systems. The book gives an overview of the current status of the field.
Content:
Front Matter....Pages I-XI
Controlling an Inverted Pendulum with Bounded Controls....Pages 3-16
Bifurcations of Neural Networks with Almost Symmetric Interconnection Matrices....Pages 17-35
Bifurcations in Systems with a Rate Limiter....Pages 37-50
Monitoring and Control of Bifurcations Using Probe Signals....Pages 51-65
Normal Form, Invariants, and Bifurcations of Nonlinear Control Systems in the Particle Deflection Plane....Pages 67-87
Bifurcations of Reachable Sets Near an Abnormal Direction and Consequences....Pages 89-99
Oscillation Control in Delayed Feedback Systems....Pages 103-116
Nonlinear Problems in Friction Compensation....Pages 117-130
Time-Optimal Stabilization for a Third-Order Integrator: a Robust State-Feedback Implementation....Pages 131-144
Stability Analysis of Periodic Solutions via Integral Quadratic Constraints....Pages 145-157
Port Controller Hamiltonian Synthesis Using Evolution Strategies....Pages 159-172
Feedback Stabilization and H ? Control of Nonlinear Systems Affected by Disturbances: the Differential Games Approach....Pages 173-190
A Linearization Principle for Robustness with Respect to Time-Varying Perturbations....Pages 191-200
On Constrained Dynamical Systems and Algebroids....Pages 203-216
On the Classification of Control Sets....Pages 217-231
On the Frequency Theorem for Nonperiodic Systems....Pages 233-240
Longtime Dynamics in Adaptive Gain Control Systems....Pages 241-254
Model Reduction for Systems with Low-Dimensional Chaos....Pages 255-268
Feedback Equivalence to Feedforward Forms for Nonlinear Single-Input Systems....Pages 269-286
Conservation Laws in Optimal Control....Pages 287-296
Back Matter....Pages 297-301

---

This book contains a selection of the papers presented at the 3rd NCN Workshop which was focused on "Dynamics, Bifurcations and Control". The peer-reviewed papers describe a number of ways how dynamical systems techniques can be applied for analysis and design problems in control with topics ranging from bifurcation control via stability and stabilizaton to the global dynamical behaviour of control systems. The book gives an overview of the current status of the field.
Content:
Front Matter....Pages I-XI
Controlling an Inverted Pendulum with Bounded Controls....Pages 3-16
Bifurcations of Neural Networks with Almost Symmetric Interconnection Matrices....Pages 17-35
Bifurcations in Systems with a Rate Limiter....Pages 37-50
Monitoring and Control of Bifurcations Using Probe Signals....Pages 51-65
Normal Form, Invariants, and Bifurcations of Nonlinear Control Systems in the Particle Deflection Plane....Pages 67-87
Bifurcations of Reachable Sets Near an Abnormal Direction and Consequences....Pages 89-99
Oscillation Control in Delayed Feedback Systems....Pages 103-116
Nonlinear Problems in Friction Compensation....Pages 117-130
Time-Optimal Stabilization for a Third-Order Integrator: a Robust State-Feedback Implementation....Pages 131-144
Stability Analysis of Periodic Solutions via Integral Quadratic Constraints....Pages 145-157
Port Controller Hamiltonian Synthesis Using Evolution Strategies....Pages 159-172
Feedback Stabilization and H ? Control of Nonlinear Systems Affected by Disturbances: the Differential Games Approach....Pages 173-190
A Linearization Principle for Robustness with Respect to Time-Varying Perturbations....Pages 191-200
On Constrained Dynamical Systems and Algebroids....Pages 203-216
On the Classification of Control Sets....Pages 217-231
On the Frequency Theorem for Nonperiodic Systems....Pages 233-240
Longtime Dynamics in Adaptive Gain Control Systems....Pages 241-254
Model Reduction for Systems with Low-Dimensional Chaos....Pages 255-268
Feedback Equivalence to Feedforward Forms for Nonlinear Single-Input Systems....Pages 269-286
Conservation Laws in Optimal Control....Pages 287-296
Back Matter....Pages 297-301
....