CDC2000 Bifurcations, Chaos and Control I

Bifurcations, Chaos and Control I
Home Full List of Titles 1: Proceedings of CDC2000 Discrete Event Systems Control in Communication Systems Optimal Control and Applications I Optimisation Approaches and Methods Model Predictive Control Advances in Linear Estimation Stochastic and Uncertain Systems Nonlinear Control and Applications Nonlinear Estimation and Filtering Formation Control and its Applications New Approaches to Fuzzy Control Manufacturing Systems Automotive Applications Stability Issues in Hybrid Control Recent Advances in Stochastic Networks Optimal Control and Applications II Robust Controller Design - mu, L1 and H2 Constrained and Receding Horizon Control Identification and Control around the World Markov Decision Processes Nonlinear Optimisation Observers for Nonlinear Systems Motion Planning Neural / Fuzzy Stability and Control Motor Control Control of Quantum Phenomena I Hybrid Systems Methods Control in Communication Networks Robustness and Optimisation Bumpless Transfer, Antiwindup and Saturation Adaptive Control: Linear Systems Estimation and Closed Loop Identification Control of Markov Processes Nonlinear Filtering and Control Modelling, Identification and Validation of Nonlinear Systems Differential Geometric Control Theory for Mechanical Systems Nonlinear Output Feedback Control Pneumatics and Compression Systems Control of Quantum Phenomena II Stability of Hybrid Systems Performance Analysis in Communication Networks Adaptive Control of Nonlinear Systems LMI Methods in Design Robust Control of Time Delay Systems Subspace Identification Methods Nonlinear Stochastic Filtering and Estimation Bifurcations, Chaos and Control I New Progress in Synthesis of Nonlinear Systems I Implementation Issues of Sliding Mode Control Theory Control of Mixing in Shear Flows Novel Neural Network Control Techniques for Industrial Motion Control Systems Physiological Control Systems Optimal Control of Hybrid Systems Stochastic Models for Communication Networks Control and Stabilisation of Nonlinear Systems New Directions in Robust Control Linear Systems Theory Advanced Topics in Systems Theory Estimation in Action Bifurcations, Chaos and Control II New Progress in Synthesis of Nonlinear Systems II Numerical Design and Analysis Techniques for Nonlinear Systems Analysis and Control of Underactuated Systems Sliding Mode Control I Challenges in the Application of Control to Computer Systems Estimation and Diagnosis of Discrete Event Systems Communications and Games Optimal Control Stochastic Systems Model Reduction Methodologies Identification and Subspace Methods Applications of Nonlinear Adaptive Control Advances in Nonlinear Output Feedback Design The Behavioural Approach to Systems and Control Vision Based Estimation and Control: Recent Advances and Open Problems Agile Control of Military Operations Sliding Mode Control II Model-based Fault Diagnosis of Industrial Processes Discrete Event Systems / Petri Nets System Identification and Confidence Estimation New Approaches to H-Infinity Control I Probabilistic Approaches to Robust Control Time Delay System Stabilisation Identification Methods Controlled Stochastic Processes Output Feedback of Nonlinear Systems Topics in Nonlinear Stabilisation Mobile Robots: Tracking Control Robust Control of Nonlinear Systems Power Systems Stabilisation and Control Disk Drive Control Hybrid Control Applications Discrete Time Systems New Approaches to H-Infinity Control II Linear Systems with Saturating Actuators New Theories in Distributed Parameter Systems Applications of Estimation and Identification Stochastic Control and Tuning Methodologies Control of Nonlinear Systems Iterative Learning and Control Coordinating Robot Systems Nonlinear Time Varying Systems Novel Applications of Neural Networks Aerospace Applications Switched Systems Implicit and Descriptor Systems LQG Periodic Systems and Disturbances New Horizons for Distributed Parameter Systems State Estimation Learning and Neuro-Control Nonlinear Control and Stabilisation I Tracking Vision Servoing Controllability of Nonlinear Systems Control of Flexible Systems Electro-Mechanical Systems Robust Control Methods and Applications Fault Detection and Diagnosis Optimisation and Applications Robust Stability Analysis Numerical Methods in Control Filtering in Continuous Time Stochastic Systems Interplay between Control and Signal Processing Fault Detection and Analysis Nonlinear Dynamical Systems Nonlinear Time Delay Systems Computational Issues in Nonlinear Control Disturbance Rejection Process Control Industry Applications Linear Parameter Varying Systems Linear Control Systems Dynamic and Nonlinear Programming Model Reduction Applications New Techniques for Control and Systems: Numerical Linear Algebra Estimation and Identification using Hidden Markov Models Applications of Stochastic Control Topics in Linear Design Nonlinear Control and Stabilisation II Ambulatory Robot Systems Chaotic and Oscillatory Systems Biomedical System Control Integrated Control and CPU Scheduling Linear Design Techniques Adaptive Disturbance / Noise Compensation Nonlinear Model Predictive Control Sensitivity Design, Analysis and Limitations Analysis of Linear Systems Linear Matrix Inequalities in Design Lyapunov's 2nd Method Robotics: Tracking Control Lagrangian and Hamiltonian Theory Variable Structure Control Machine Vision Signal Processing Methods in Control Applied Nonlinear Control Author Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z	Normal Forms And Bifurcations Of Control Systems Authors: Dong-Eui Chang, Wei Kang, Arthur J. Krener, Volume: 1, Page 1602 Paper number 1701 Abstract: We present the quadratic and cubic normal forms of a nonlinear control system around an equilibrium point. These are the normal forms under change of state coordinates and invertible state feedback. The system need not be linearly controllable. A control bifurcation of a nonlinear system occurs when its linear approximation loses stabilizability. We study some important control bifurcations, the analogues of the classical fold, transcritical and Hopf bifurcations. CD001701.PDF (From Author) TOP Enhancing Detectability Of Bifurcations In DC-DC Converters By Stochastic Resonance Authors: Priya Ranjan, Eyad H. Abed, Volume: 1, Page 1608 Paper number 1702 Abstract: Noise-driven systems tend to display special features in their power spectra when approaching bifurcation or instability. These features, called noisy precursors, can be of significant use since they can serve as a warning signal for the impending loss of stability. Another phenomenon that has received significant attention in the mathematical physics and biology literature is that of stochastic resonance. In stochastic resonance, the signal-to-noise ratio (SNR) is nonmonotonic with respect to noise level. This cannot occur in linear systems. Most past studies of stochastic resonance involve bistable systems with a weak external periodic forcing. However, recently the same basic phenomenon has been observed in autonomous systems operating along a limit cycle. In any case, the combination of precursors and stochastic resonance provides a tool for instability monitoring. In this paper, these observations are applied to a discrete-time DC-DC converter model. Precursors of period doubling instability are shown to occur. Also, stochastic resonance and its impact on precursor strength is demonstrated. The calculations show how the noise level should be selected to enhance detectability of the impending bifurcation. CD001702.PDF (From Author) TOP A Geometric Perspective on Bifurcation Control Authors: Yong Wang, Richard M. Murray, Volume: 1, Page 1613 Paper number 1704 Abstract: In this paper, we analyze the problem of bifurcation control from a geometric perspective. Our goal is to provide coordinate free, geometric conditions under which control can be used to alter the bifurcation properties of a nonlinear control system. These insights are expected to be useful in understanding the role that magnitude and rate limits play in bifurcation control, as well as giving deeper understanding of the types of control inputs that are required to alter the nonlinear dynamics of bifurcating systems. We also use a model from active control of rotating stall in axial compression systems to illustrate the geometric sufficient conditions of stabilizability. CD001704.PDF (From Author) TOP Dynamic Feedback Control of Bifurcations Authors: Hua O. Wang, Dong S. Chen, Linda G. Bushnell, Volume: 1, Page 1619 Paper number 1705 Abstract: Bifurcation control deals with the modification of the bifurcation characteristics of a parameterized nonlinear system by a judiciously designed control input. In this paper, we consider the problem of dynamic feedback control of bifurcations. In particular, previous results on the control of bifurcations using washout filters are extended to some general forms of dynamic feedback controllers. It is shown that high-pass filters such as washout filters can be represented by a special form of dynamic feedback controller. The control effect on bifurcations can be readily assessed by analytical formulae. These dynamic feedback controllers offer more flexibility over the original controller in bifurcation control. The results are viable for the design and analysis of nonlinear control systems involving bifurcations. CD001705.PDF (From Author) TOP Normal Forms, Canonical Forms, and Invariants of Single Input Nonlinear Systems Under Feedback Authors: Issa Amadou Tall, Witold Respondek, Volume: 1, Page 1625 Paper number 1707 Abstract: We study the feedback group action on single-input nonlinear control systems. We follow an approach of Kang and Krener based on analysing, step by step, the action of homogeneous transformations on the homogeneous part of the system. We construct a dual normal form and dual invariants with respect to those obtained by Kang. We also propose a canonical form and show that two systems are equivalent via a formal feedback if and only if their canonical forms coincide. We give an explicit construction of transformations bringing the system to its normal, dual normal, and canonical form. CD001707.PDF (From Author) TOP On The Control Of Hopf Bifurcations Authors: Boumediene Hamzi, Wei Kang, Jean-Pierre Barbot, Volume: 1, Page 1631 Paper number 1706 Abstract: In this paper we deal with the problem of the analysis and the control of Hopf bifurcations. The methodology we adopt is based on the normal forms approach. We determine invariants which are numbers which does not change with coordinate change and feedback. The characterization of the Hopf bifurcation and the computation of the control law is based on these invariants. CD001706.PDF (From Author) TOP