New Theories in Distributed Parameter 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
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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
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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
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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

Spatially Localized Convolution Kernels For Feedback Control Of Transitional Flows

Authors:

Markus Högberg, Thomas R. Bewley,

Volume: 1, Page 3278 Paper number 2008

Abstract:

Optimal ((cal) H_2) linear feedback controllers are computed for the Orr--Sommerfeld/Squire equations for an array of wavenumber pairs k_x,k_z and then inverse-transformed to the physical domain, as recommended by Bewleyamp; Liu (JFM 365, 1998) and using the general method outlined therein. The feedback kernels so computed are effective at minimizing both transient energy growth and the relevant input-output transfer function norms in the controlled linear system representing small perturbations to a laminar channel flow. The important new result of the present paper is the demonstration that this calculation yields feedback convolution kernels with localized support in the physical domain. These localized kernels eventually decay exponentially with distance from the actuator location, allowing them to be truncated a finite distance from each actuator while retaining any desired degree of accuracy in the feedback computation. The truncated, spatially compact convolution kernels may then be used in decentralized control implementations on the distributed flow system. Spatial localization of (cal) H_2/(cal) H_(infinity) feedback for this type of system was predicted theoretically by Bamieh, Paganini,amp; Dahleh (IEEE TAC, submitted) and D'Andreaamp; Dullerud (IEEE TAC, submitted) in related work. Spatial localization provides the critical link which connects controllers designed for the (artificial) spatially periodic model system to application on physical systems, which are spatially evolving. Unfortunately, not all formulations of the present control problem lead to physical-space controllers with localized spatial support. The feedback convolution kernels so determined are then implemented in direct numerical simulations of transitional flows with both random and oblique finite-magnitude initial flow perturbations, per the cases of particular physical significance enumerated by Reddy et al. (JFM 365, 1998). The ability of the linear control feedback to stabilize the nonlinear flow system is demonstrated for finite initial flow perturbations with magnitudes well beyond the threshold which induces transition to turbulence in the uncontrolled system.

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Variable Sampling Integral Control Of Infinite Dimensional Systems

Authors:

Necati Özdemir, Stuart Townley,

Volume: 1, Page 3284 Paper number 1689

Abstract:

In this paper we present sampled-data low-gain I-control algorithms for infinite-dimensional systems in which the sampling period is not constant. The system is assumed to be exponentially stable with invertible steady state gain. The choice of the integrator gain is based on steady state gain information. In one algorithm the sampling time is divergent and in the other it increases adaptively.

CD001689.PDF (From Author)

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Robustness Of Closed-Loop Stability For Infinite Dimensional Systems Under Sample And Hold - Counterexamples

Authors:

Richard Rebarber, Stuart Townley,

Volume: 1, Page 3290 Paper number 1977

Abstract:

We consider continuous-time, linear control systems for which a static state feedback stabilizes the system. If we construct a sampled-data controller by applying an idealized sample-and-hold process to the continuous-time stabilizing feedback, it is known that if the state and control spaces are finite dimensional, then this sampled-data controller stabilizes the system for all sufficiently small sampling times. In this paper we show that this robustness with respect to sampling times is not true in general for infinite dimensional systems. We consider systems where the state space X and the control space U are Hilbert spaces, the system is of the form dx/dt = Ax + Bu, and A is the generator of a strongly continuous semigroup on X. Suppose that the continuous time feedback is u = Fx, where F is compact. Then it is known that if either B is bounded, or if A generates an analytic semigroup on X (in which case B s allowed to be unbounded in a general sense), then the sampled-data controller stabilizes the system for all sufficiently small sampling times. In this paper we show that the first condition is sharp in the following sense: we give a counterexample to show that this result is not true if B is barely unbounded, that is if B is unbounded but A^-(delta) B is bounded for all (delta) > 0. We also give an easy counterexample if F is not compact.

CD001977.PDF (From Author)

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Infinite Dimensional Models : Approximation and Realization

Authors:

Nicolas Guijarro, Laurent Lefèvre, Geneviève Dauphin-Tanguy,

Volume: 1, Page 3295 Paper number 1897

Abstract:

In this paper, we introduce a procedure to treat passive functional nodes in bond graphs. This procedure is carried out in three steps. First we approximate the initial infinite dimensional model by a finite one with huge dimension. Then we reduce it to a lower dimension model. Finally we realize this latter model by a lumped parameter electrical network.

CD001897.PDF (From Author)

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Nonlinear Analysis Of A High-Resolution Optical Wave-Front Control System

Authors:

Eric W. Justh, Perinkulam S. Krishnaprasad, Mikhail A. Vorontsov,

Volume: 1, Page 3301 Paper number 1968

Abstract:

A class of feedback systems for high-resolution optical wave-front control (or adaptive optic wave-front distortion suppression) is modeled and analyzed. Under certain conditions, the nonlinear dynamical system models obtained are shown to be gradient systems, with energy functions that also serve as Lyapunov functions. The approach taken here to a problem of nonlinear control system design and analysis might also be applicable to other problems involving high-resolution control of physical fields, particularly if the field sensing is performed optically.

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Automatic Tuning of Smith-Predictor Design Using Optimal Parameter Mismatch

Authors:

Jih-Jenn Huang, Daniel B. DeBra,

Volume: 1, Page 3307 Paper number 1648

Abstract:

The Smith-predictor is well known for its delay-free characteristic and suitable for regulating systems with an excessively long time delay. Previous studies have found that by introducing appropriate parametric or temporal mismatch can significantly improve system performance. In this paper, the previous theoretical results are summarized to form an automatic tuning procedure based on optimal values obtained from closed form integration solutions. The proposed procedure is verified experimentally on a fluid temperature control system of Stanford's quiet hydraulic precision lathe. Test results show good practical feasibility and deserve more real world applications.

CD001648.PDF (From Author)

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