CDC2000 Lyapunov's 2nd Method

Lyapunov's 2nd Method
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	On Stabilization of Rotational Modes of an Inverted Pendulum Authors: Anton S. Shiriaev, Anna Friesel, John Perram, Alexander Yu. Pogromsky, Volume: 1, Page 5047 Paper number 1712 Abstract: This paper addresses the problem of stabilization a rotational mode of an inverted pendulum with a prescribed position of the cart. The solution is based on the idea that a desired motion of the inverted pendulum corresponds to some set (Gamma) in the phase space of the system. In fact, the set (Gamma) describes periodic orbit for the closed loop system and for the unforced inverted pendulum this set is not invariant. We constructed a family of no-negative functions V_µ, which are zero on (Gamma) and positive elsewhere, and suggested a globally defined state feedback transformation, which makes the inverted pendulum to be passive with V_µ from new input to the output -- a speed of the cart. Taking advantage of passivity, we derived stabilizing controller and obtained the qualitative description of behavior of the closed loop system solutions. Moreover, the proposed control scheme is extended for the case, when the inverted pendulum is controlled by an actuator. CD001712.PDF (From Author) TOP Constraint Output Regulation Of Linear Plants Authors: Jian Han, Ali Saberi, Anton A. Stoorvogel, Peddapullaiah Sannuti, Volume: 1, Page 5053 Paper number 1727 Abstract: Output regulation of linear systems with state and/or input magnitude constraints is considered. The structural properties of linear plants are identified under which the so called constrained semi-global and global output regulation problems are solvable. An important aspect of our development is a categorization of constraints to show clearly for what type of constraints what can or cannot be achieved. CD001727.PDF (From Author) TOP Asymptotic Tracking Of Periodic Trajectories For A Simple Mechanical System Subject To Non-Smooth Impacts Authors: Laura Menini, Antonio Tornambè, Volume: 1, Page 5059 Paper number 1139 Abstract: An infinitely rigid, fully-actuated mass is considered, which moves on a plane within a closed region delimited by an infinitely massive and rigid circular barrier. The tracking problem of a class of periodic trajectories involving an infinite number of impacts is considered. Since the jumps in the velocities at the impact times render difficult (if not impossible) to obtain the classical stability and attractivity properties for the tracking error, such properties are properly amended for the case of interest. A simple PD-like control law is proposed, giving rise to control forces that are piece-wise continuous functions of time. CD001139.PDF (From Author) TOP Any Domain Of Attraction For A Linear Constrained System Is A Tracking Domain Of Attraction Authors: Franco Blanchini, Stefano Miani, Volume: 1, Page 5065 Paper number 2 Abstract: We face the problem of determining a tracking domain of attraction, say the set of initial states starting from which it is possible to track reference signals in given class, for discrete-time systems with control and state constraints. We show that the tracking domain of attraction is exactly equal to the domain of attraction, say the set of states which can be brought to the origin by a proper feedback law. For constant reference signals we establish a connection between the convergence speed of the stabilization problem and tracking convergence which turns out to be independent of the reference signal. We also show that the tracking controller can be inferred from the stabilizing (possibly nonlinear) controller associated with the domain of attraction. We refer the reader to the SIAM version, where the continuous-time case, proofs and extensions are presented. CD000002.PDF (From Author) CD000002.PDF (Scanned) TOP Geometrical Approach to Parameter Dependent Lyapunov Functions Authors: Akihiro Ogata, Masatoshi Yamamoto, Kang-Zhi Liu, Osami Saito, Volume: 1, Page 5071 Paper number 9112 Abstract: In this paper we consider the problem of constructing parameter dependent Lyapnov functions that guarantee the stability of the linear systems with an uncertain constant real parameter. First we formulate the surface on which all parameter dependent Lyapunov matrices for a given uncertain system exist. Next, after defining a Riemannian metric on the surface, we derive a method to obtain a parameter dependent Lyapunov matrix as a geodesic on the surface. CD009112.PDF (From Author) TOP