Discrete Time Systems

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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 Reachability of Positive Linear Discrete-Time Systems with Scalar Controls

Authors:

Ventsi G. Rumchev,

Volume: 1, Page 3159 Paper number 1075

Abstract:

Positive systems are defined as systems in which the state trajectory is always positive (or at least non-negative) whenever the initial state is positive (non-negative). Positive linear systems are defined on cones and not on linear spaces and that is why the reachability and controllability tests for linear systems prove to be false. In this paper necessary and sufficient condition for reachability of discrete-time positive linear systems with scalar input is proved. Criteria for recognizing the reachability property of such systems are presented and complete characterizations of the generic structure of reachable non-negative pair (A, b) in both algebraic and graph-theoretic forms are developed. The paper gives a new general treatment of reachability properties of scalar-input positive linear systems.

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Self-Bounded (A,B)-Invariant Polyhedra Of Discrete-Time Systems

Authors:

Carlos E.T. Dórea, Jean-Claude Hennet,

Volume: 1, Page 3163 Paper number 1194

Abstract:

This work extends the concept of self-bounded (A,B)-invariant subspaces to convex polyhedral sets. Self-bounded (A,B)-invariant polyhedra are defined and characterized. Necessary and sufficient conditions under which a given polyhedron is self-bounded are established in the form of linear matrix relations. It is then shown that the class of self-bounded sets contained in a given region has an infimum, that is, a self-bounded set which is contained in any set of this class. The infimal set is characterized and a numerical method is proposed for its computation in the polyhedral case. It is also shown how these results can be extended to systems subject to control constraints and bounded additive disturbances. A numerical illustrative example is finally presented.

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On Discrete Time Nonnegative Storage Functions And State Functions

Authors:

Osamu Kaneko, Takao Fujii,

Volume: 1, Page 3169 Paper number 1340

Abstract:

In this paper, we study discrete time dissipativeness. Particularly, we focus on storage functions. Differently from the continuous time case, every storage function is not necessarily a state function in discrete time. For this problem, this paper shows that a every nonnegative storage function is a state function in discrete time. In addition, we provide some of the necessary and sufficient conditions for the existence of the nonnegative storage function.

CD001340.PDF (From Author)

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Nonnegative Linear Systems In The Behavioral Approach: The Autonomous Case

Authors:

Maria Elena Valcher,

Volume: 1, Page 3175 Paper number 1207

Abstract:

Nonnegative linear systems, which have been traditionally investigated within the state-space framework, are here introduced and analyzed by means of the behavioral approach. Starting from certain definitions and results which have been presented in a recent paper by Nieuwenhuis (Nieuwenhuis, J.W.. "When to call a linear system nonnegative". Linear Algebraamp; its Appl., vol. 281, pp.43-58, 1998), we have explored the general autonomous case, by deriving an extended set of necessary and sufficient conditions for an autonomous behavior to be nonnegative.

CD001207.PDF (From Author)

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Dead-Beat Control Laws For Impacting Systems In Presence Of Uncertainties

Authors:

Laura Menini, Antonio Tornambè,

Volume: 1, Page 3181 Paper number 1025

Abstract:

The problem of regulating the position of a simple mechanical system subject to non-smooth impacts in finite time is considered. A simple solution based on a discrete-time formulation of the problem is given for the nominal system. After studying the problems arising with such a compensator if a perturbation in the position of the constraint is not taken into account, a different control law is proposed in order to overcome such difficulties.

CD001025.PDF (From Author)

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Observers Design For Linear Time-Varying Systems

Authors:

Mohamed Boutayeb, Mohamed Darouach,

Volume: 1, Page 3183 Paper number 124

Abstract:

In this note we give some results on the convergence of the Kalman Filter (K.F.) when used as an observer for linear time-varying systems. Based on the block-input / block-output state model, we prove that the state observer given in [7] is equivalent to the K.F. algorithm. One of the main features, however, is that no assumption on the invertibility of the state matrix, namely Ak in the paper, is needed and the computational requirements are reduced. Furthermore, the obtained result can be extended, by duality, to resolve the state feedback control problem.

CD000124.PDF (From Author)

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(cursive-l)_1 Controller Design For A High-Order 5-Pool Irrigation Canal System

Authors:

Pierre-Olivier Malaterre, Mustafa Khammash,

Volume: 1, Page 3188 Paper number 2005

Abstract:

The aim of this work is to present an application of recent methods for solving the l1 design problem, based on the Scaled-Q approach, on a high-order, non-minimum phase system. We start by describing the system which is an open-channel hydraulic system (e.g.: an irrigation canal). From the linearization and discretization of the set of two partial-derivative equations, a state-space model of the system is generated. This model is a high-order MIMO system (five external perturbations w, five control inputs u, five controlled outputs z', five measured outputs y, 65 states x) and is non-minimum phase. A controller is then designed by minimizing the l1 norm of the impulse response of the transfer matrix between the perturbation w and the output z=[z'; z''], where the five additional variable z'' are defined as z''=D_u.u. Considering this additional transfer (w to z'') in the minimization problem leads to a better posed problem and provides much better robustness margins. Time-domain template constraints are added in order to force integrators into the controller. The numerical resolution of the problem proved to be efficient, despite of the characteristics of the system. The obtained results are compared in the time-domain to classical PID and LQG controllers, both on linear and non-linear simulated plants. The results proved to be very good in terms of performance and robustness, in particular for the rejection of the worst-case perturbation.

CD002005.PDF (From Author)

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