CDC2000 Stability of Hybrid Systems

Stability of Hybrid Systems
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	Global Stability Analysis Of On/Off Systems Authors: Jorge M. Gonçalves, Volume: 1, Page 1382 Paper number 1734 Abstract: This paper considers quadratic surface Lyapunov functions in the study of global stability analysis of on/off systems (OFS), including those OFS with unstable nonlinearity sectors. In previous work, quadratic surface Lyapunov functions were successfully applied to prove global asymptotic stability of limit cycles of relay feedback systems. In this work, we show that these ideas can be used to prove global asymptotic stability of equilibrium points of piecewise linear systems (PLS). We present conditions in the form of LMIs that, when satisfied, guarantee global asymptotic stability of an equilibrium point. A large number of examples was successfully proven globally stable. These include systems with an unstable affine linear subsystem, systems of relative degree larger than one and of high dimension, and systems with unstable nonlinearity sectors, for which all classical fail to analyze. In fact, existence of an example with a globally stable equilibrium point that could not be successfully analyzed with this new methodology is still an open problem. This work opens the door to the possibility that more general PLS can be systematically globally analyzed using quadratic surface Lyapunov functions. CD001734.PDF (From Author) TOP On Stabilization Performance Authors: Giovannina Albano, Ciro D'Apice, Benedetto Piccoli, Volume: 1, Page 1388 Paper number 1665 Abstract: Recently, significant interest has been raised in the study of hybrid systems. In this paper we analyze the performance of various stabilizers, including discontinuous and hybrid controls, to stabilize two model problems, namely a linerized pendulum with observed position and the Brockett system. In relation to this study we faced the presence of periodic orbits in hybrid stabilizers that are responsible for low performance of these. CD001665.PDF (From Author) TOP Common Quadratic Lyapunov-Like Function with Associated Switching Regions for Two Unstable Second-Order LTI Systems Authors: Bo Hu, Guisheng Zhai, Anthony N. Michel, Volume: 1, Page 1391 Paper number 1378 Abstract: In the present paper we utilize Lyapunov-like functions in the qualitative analysis of switched systems. Specifically, for a class of second-order switched systems consisting of two unstable subsystems, we explore in detail some necessary and sufficient conditions for the existence of common quadratic Lyapunov-like functions. We find that the existence of quadratic Lyapunov-like functions is closely related to the recent work on conic switching laws. CD001378.PDF (From Author) TOP Stability of Limit Cycles in Hybrid Systems Using Discrete-Time Lyapunov Techniques Authors: Marcus Rubensson, Bengt Lennartson, Volume: 1, Page 1397 Paper number 2104 Abstract: This paper concerns stability analysis of limit cycles in hybrid systems. Continuous-time hybrid systems are modeled in a discrete-time affine framework. The discrete-time approach is shown to be appropriate in order to find a Lyapunov formulation for the stability of a hybrid limit cycle. Multiple Lyapunov functions are associated with the transitions in the hybrid system so that the trajectory is shown to converge to the switch points of the limit cycle. The results are formulated in Linear Matrix Inequalities (LMIs) which gives a constructive way to find the Lyapunov functions using efficient algorithms. The results are applied to a two-tank example with discrete valued actuators. CD002104.PDF (From Author) TOP On the Equivalence Between Dissipativity and Optimality of Nonlinear Hybrid Controllers Authors: Wassim M. Haddad, VijaySekhar Chellaboina, Sergey G. Nersesov, Volume: 1, Page 1403 Paper number 126 Abstract: In this paper we derive guaranteed hybrid gain, sector, and disk margins for nonlinear optimal and inverse optimal hybrid regulators that minimize a nonlinear-nonquadratic hybrid performance functional. Furthermore, we develop a hybrid return difference inequality to provide connections between dissipativity and optimality of nonlinear hybrid controllers. Specifically, we show that optimal hybrid controllers imply dissipativity with respect to a quadratic supply rate. CD000126.PDF (From Author) TOP Classification And Stabilizability Analysis Of Bimodal Piecewise Affine Systems Authors: Jun-ichi Imura, Volume: 1, Page 1409 Paper number 1144 Abstract: This paper presents a classification of bimodal piecewise affine systems from the viewpoint of well-posedness. First, we address the problem of feedback equivalence to a well-posed system, called here the feedback well-posedness problem, of a general class of bimodal piecewise affine systems. Next, based on this result, we classify all feedback well-posed systems into four classes and derive a canonical form of the system in each class, which allows us to address the control problem of piecewise affine systems in a systematic way. Finally, as its application, the stabilizability with well-posedness is discussed in each class, and several remarks on stabilizability are given. CD001144.PDF (From Author) TOP