CDC2000 Stability Issues in Hybrid Control

Stability Issues in Hybrid Control
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	Lyapunov Functions for Impulse and Hybrid Control Systems Authors: Jean-Pierre Aubin, Volume: 1, Page 466 Paper number 2701 Abstract: This paper characterizes Lyapunov functions for hybrid control systems and, more generally, to impulse differential inclusions. This is useful to govern the evolution of an asymptotically stable solution of a an hybrid system around an equilibrium and can also be used for designing a global optimization algorithm. CD002701.PDF (From Author) TOP Hybrid Control Laws From Convex Dynamic Programming Authors: Sven Hedlund, Anders Rantzer, Volume: 1, Page 472 Paper number 2702 Abstract: In a previous paper, we showed how classical ideas for dynamic programming in discrete networks can be adapted to hybrid systems. The approach is based on discretization of the continuous Bellman inequality which gives a lower bound on the optimal cost. The lower bound is maximized by linear programming to get an approximation of the optimal solution. In this paper, we apply ideas from infinite-dimensional convex analysis to get an inequality which is dual to the well known Bellman inequality. The result is a linear programming problem that gives an estimate of the approximation error in the previous numerical approaches. CD002702.PDF (From Author) TOP Deadlock-Free Piecewise Linear Controlled Hybrid Automata Authors: Michael D. Lemmon, Volume: 1, Page 478 Paper number 2703 Abstract: A controlled hybrid automaton is a hybrid automaton whose continuous-state trajectories satisfy inhomogeneous differential equations. This paper presents sufficient conditions for the existence of periodic global solutions of piecewise-linear controlled hybrid automata. CD002703.PDF (From Author) TOP Hierarchical Hysteresis Switching Authors: Daniel Liberzon, João P. Hespanha, A. Stephen Morse, Volume: 1, Page 484 Paper number 2704 Abstract: We describe a new switching logic, called ``hierarchical hysteresis switching'', and establish a bound on the number of switchings produced by this logic on a given interval. The motivating application is the problem of controlling a linear system with large modeling uncertainty. We consider a control algorithm consisting of a finite family of linear controllers supervised by the hierarchical hysteresis switching logic. In this context, the bound on the number of switchings enables us to prove stability of the closed-loop system in the presence of noise, disturbances, and unmodeled dynamics. CD002704.PDF (From Author) TOP A Stability Analysis Based on Economic Principles for the Control of the Cotton Aphid Authors: Clyde F. Martin, Robert Martin, Volume: 1, Page 490 Paper number 2705 Abstract: The cotton aphid is an important pest insect affecting the profitability of cotton production in the Southwest. In this paper, we study the problem of the optimal timing of pesticide application to control the aphid. The problem is complicated by the presence of a significant predator insect. The predator serves as a natural control of the aphid and is adversely affected by application of pesticide. We determine optimal state dependent rules for application of pesticide. We show that first application of pesticide is a switching time between two dynamic systems. CD002705.PDF (From Author) CD002705.PDF (Scanned) TOP Stability and Stabilization of Piecewise Affine and Hybrid Systems: An LMI Approach Authors: Domenico Mignone, Giancarlo Ferrari-Trecate, Manfred Morari, Volume: 1, Page 504 Paper number 2706 Abstract: In this paper we present various algorithms both for stability analysis and state-feedback design for discrete-time piecewise affine systems. As in the works of Johansson and Rantzer (1998), our approach hinges on the use of piecewise quadratic Lyapunov functions that can be computed as the solution of a set of linear matrix inequalities. The basic algorithms are made less conservative by exploiting the switching structure of piecewise affine systems and by using relaxation procedures. CD002706.PDF (From Author) TOP Hybrid Control Based on Discrete-Event Automata and Receding-Horizon Neural Controllers Authors: Thomas Parisini, Simona Sacone, Volume: 1, Page 510 Paper number 2707 Abstract: A hybrid receding-horizon control scheme for nonlinear discrete-time systems is addressed in this work. Such a scheme is composed of two control levels: a continuous level characterized by a finite set of neural receding-horizon feedback control laws, and a discrete-event level aimed at choosing the best control action to be applied to the plant, depending on the current system conditions and on possible occurred external events. The two-level scheme presents two major innovative aspects: first, a new class of hybrid automata, namely the discrete-time discrete-event automata, is used for the modeling of the proposed hybrid control scheme. Moreover, receding-horizon regulators based on neural approximators and off-line determined can be adopted at the continuous level. The stability analysis of the hybrid control system is addressed both in the case in which optimal receding-horizon feedback control functions are used and in the case in which neural approximate regulators are adopted. CD002707.PDF (From Author) TOP