Nonlinear Control and Stabilisation I

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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

Stability Analysis Of Pulse-Width-Modulated Feedback Systems

Authors:

Ling Hou, Anthony N. Michel,

Volume: 1, Page 3854 Paper number 1057

Abstract:

We present new Lyapunov and Lagrange stability results for pulse-width-modulated (PWM) feedback systems with linear plants. We consider the non-critical case, where the poles of the transfer function of the plant are all in the left-half of the complex plane and the critical case, where one pole is at the origin while the remaining poles are all in the left-half of the complex plane. For these systems we apply the Direct Method of Lyapunov to establish new and improved stability results. As in most existing results for PWM feedback systems obtained by the Lyapunov method, we employ quadratic Lyapunov functions in our analysis. However, in the proofs we make use of different majorizations, requiring hypotheses that differ significantly from those used in the existing results. Additionally, and perhaps more importantly, we incorporate into our results optimization procedures that improve our results significantly. We demonstrate the applicability and quality of our results by means of two specific examples that are identical to examples presented in the literature.

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Estimation Of The Domain Of Attraction For Polynomial Systems Via LMI's

Authors:

Bernd Tibken,

Volume: 1, Page 3860 Paper number 1853

Abstract:

Investigation of the stability properties of stationary points of nonlinear systems lies at the heart of modern control engineering. In this contribution we will show how modern results of real algebraic geometry, a branch of pure mathematics, will be used to compute subsets of the region of attraction of asymptotically stable stationary points of polynomial systems. This computation will be done in a numerically stable and efficient way by reformulating the problem as a linear matrix inequality (LMI). For this reformulation new results from real algebraic geometry will be used. The results presented in this contribution show very clearly that a multidisciplinary approach to nonlinear control systems leads to new insight and new powerful conditions. Some conclusions and an outlook will finish this contribution.

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Estimation Of The Region Of Attraction By First Order Approximation

Authors:

Alexander Yu. Pogromsky, Henk Nijmeijer,

Volume: 1, Page 3865 Paper number 9606

Abstract:

Conditions are given that guarantee the convergence of arbitrary solutions of an autonomous dynamical system towards some equilibrium point of the system. The conditions are formulated in terms of matrix inequalities involving the variational equation. A connection with analytic estimates of the Hausdorff dimension of invariant compact sets is given.

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Estimation Of The Domain Of Attraction For Polynomial Systems Using Multidimensional Grids

Authors:

Bernd Tibken, Ossama Hachicho,

Volume: 1, Page 3870 Paper number 1854

Abstract:

Investigation of the stability properties of stationary points of nonlinear systems lies at the heart of modern control engineering. In this contribution we will show how the theorem of Ehlich and Zeller is used to compute subsets of the domain of attraction of asymptotically stable stationary points of polynomial systems. The theorem of Ehlich and Zeller is a tool to bound the values of a polynomial over an interval using the values of the polynomial on a finite grid in the interval. We will present the generalizations of this theorem to multivariable polynomials and to trigonometric polynomials. A bisection strategy will be presented which allows the guaranteed computation of a subset of the domain of attraction. An instructive example will be presented and some conclusions and an outlook will finish this contribution.

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Strict Lyapunov Functions for Feedforward Systems and Applications

Authors:

Frédéric Mazenc, Laurent Praly,

Volume: 1, Page 3875 Paper number 1129

Abstract:

For nonaffine nonlinear feedforward systems classes of control Lyapunov functions are constructed. Explicit formulas are determined in an important particular case. As an application of this design, we prove that the bounded state feedbacks constructed induce the property of nonlinear disturbance-to-state L^p stability.

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A Projector To Design A Passive-Based Feedback

Authors:

Driss Boutat, Mohamed Djemai, Jean-Pierre Barbot,

Volume: 1, Page 3881 Paper number 1438

Abstract:

This paper deals with the decomposition of the drift term of nonlinear multivariable regular systems. A transverse and tangent decomposition of the vector field is presented, then a feedback neutralizing the transverse part is studied. Zero dynamics stability is considered and sufficient conditions to obtain a global passivity of the system are given. An other decomposition based on the workless field; attracting field; and rejecting field is also studied. Some illustrative example s are given all along the paper. Key Words: Structural analysis, Control Design, Stability, Passivity, Nonlinear multivariable systems.

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