CDC2000 Topics in Nonlinear Stabilisation

Topics in Nonlinear Stabilisation
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	Gap Metrics, Representations, And Nonlinear Robust Stability Authors: Matthew R. James, Malcolm C. Smith, Glenn Vinnicombe, Volume: 1, Page 2936 Paper number 1577 Abstract: Various alternative definitions for the nonlinear L2- and nu-gap metrics are studied. The concept of beta-conjugacy and multiplicative homogeneity are introduced to relate the metrics to each other and to compare the stability margins of nonlinear feedback loops expressed in terms of the norms of complementary parallel projections. Left and right representations for the graph of a nonlinear system are studied. A new definition of ``normalized'' is introduced for left representations. Formulas for the gap metrics as the norm of the product of left and right representations are derived. CD001577.PDF (From Author) TOP On Convexity In Stabilization Of Nonlinear Systems Authors: Anders Rantzer, Pablo A. Parrilo, Volume: 1, Page 2942 Paper number 1980 Abstract: A stability criterion for nonlinear systems, recently derived by the first author, can be viewed as a dual to Lyapunov's second theorem. The criterion is stated in terms of a function which can be interpreted as the stationary density of a substance that is generated all over the state space and flows along the system trajectories towards the equilibrium. The new criterion has a remarkable convexity property, which in this paper is used for controller synthesis via convex optimization. Recent numerical methods for verification of positivity of multivariate polynomials are used. CD001980.PDF (From Author) TOP A Lyapunov Approach To Incremental Stability Authors: David Angeli, Volume: 1, Page 2947 Paper number 1044 Abstract: This paper deals with several notions of incremental stability. In other words, we focus on stability of trajectories with respect to one another, rather than with respect to some attractor or equilibrium point. The aim is to present a framework for understanding such questions fully compatible with the well-known Input-to-State Stability approach. It is especially looking at the issue of state-detection and observer synthesis that it becomes relevant to understand which systems may enjoy incremental stability properties. As a matter of fact, the notion of incremental input-to-state stability that will be introduced can be thought of also as as ``open-loop observability'', that is as the possibility of designing an observer for the system which only processes past input data. It is well-known that for linear systems such a property is equivalent to asymptotic stability. It is indeed a much stronger property when dealing with nonlinear ones. CD001044.PDF (From Author) TOP Generalized Quadratic Lyapunov Functions For Nonlinear/Uncertain Systems Analysis Authors: Tetsuya Iwasaki, Volume: 1, Page 2953 Paper number 1248 Abstract: We consider the class of discrete-time nonlinear/uncertain systems described by the feedback connection of a linear time-invariant system and a ``troublesome component,'' i.e. either a static nonlinearity or a time-varying parametric uncertainty. We propose a generalized quadratic Lyapunov function for stability analysis of such systems. In particular, the Lyapunov function is given by a quadratic form of a vector that depends on the state in a specific nonlinear manner. Introducing a quadratic-form model of the troublesome component in the spirit of integral quadratic constraints, we obtain sufficient conditions for the existence of such Lyapunov functions that proves global/regional stability. The conditions are given in terms of linear matrix inequalities that can be numerically verified in polynomial time. CD001248.PDF (From Author) TOP Nonlinear Robust Control for Nonlinear Uncertain Impulsive Dynamical Systems Authors: Wassim M. Haddad, Natasa A. Kablar, VijaySekhar Chellaboina, Volume: 1, Page 2959 Paper number 66 Abstract: In this paper we develop an optimality-based framework for addressing the problem of nonlinear optimal robust hybrid control for nonlinear uncertain impulsive dynamical systems. Specifically, we transform a given robust hybrid control problem into an optimal hybrid control problem by properly modifying the hybrid cost functional to account for system uncertainty. As a consequence, the resulting solution to the modified optimal hybrid control problem guarantees robust stability and performance for a class of nonlinear uncertain impulsive dynamical systems. The overall framework generalizes the hybrid Hamilton-Jacobi-Bellman conditions to address the design of robust optimal hybrid controllers for nonlinear impulsive dynamical systems with structured parametric uncertainty. CD000066.PDF (From Author) TOP Stability Results For Some Classes Of Cooperative Systems Authors: Patrick De Leenheer, Dirk Aeyels, Volume: 1, Page 2965 Paper number 1470 Abstract: This paper deals with the constant control problem for homogeneous cooperative and irreducible systems. These systems serve as models for positive systems. A necessary and sufficient condition for global asymptotic stability of the zero solution of this class of systems is known. Adding a constant control allows to shift the equilibrium point from zero to a point in the first orthant. We prove that for every nontrivial nonnegative control vector a unique nontrivial equilibrium point is achieved which is globally asymptotically stable if the zero solution of the uncontrolled system is globally asymptotically stable. Additionally a stability result for a particular class of Kolmogorov systems is established. We compare our main results to those in the literature. CD001470.PDF (From Author) TOP