Nonlinear Estimation and Filtering

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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

Robust Continuous-Time Smoothers -- Without Two-Sided Stochastic Integrals

Authors:

Vikram Krishnamurthy, Robert J. Elliott,

Volume: 1, Page 286 Paper number 2034

Abstract:

We consider the problem of fixed-interval smoothing of a continuous-time partially observed nonlinear stochastic dynamical system. Existing results for such smoothers require the use of two sided stochastic calculus. The main contribution of this paper is to present a robust formulation of the smoothing equations. Under this robust formulation, the smoothing equations are non-stochastic parabolic partial differential equations (with random coefficients -- and hence the technical machinery associated with two sided stochastic calculus is not required. Furthermore, the robust smoothed state estimates are locally Lipschitz in the observations -- which is useful for numerical simulation. As an example, finite dimensional robust versions of the Hidden Markov Model smoothers are derived.

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Solution to Brockett's Problem on Finite-Dimensional Estimation Algebras of Maximal Rank in Nonlinear Filtering

Authors:

Stephen S.T. Yau,

Volume: 1, Page 292 Paper number 1304

Abstract:

The Kalman-Bucy filter is widely used in modern industry. Despite its usefulness, however, the Kalman-Bucy filter is not perfect. One of the weakness is that it needs a Gaussian assumption for the initial data. The other weakness is that it requires the drift term f(x) be a linear function. Brockett [Br], Brockett and Clark [Br-Cl], and Mitter [Mi] proposed independently using a Lie algebraic method to solve Duncan-Mortensen-Zakai equation for nonlinear filtering. This method requires only n sufficient statistics, where n is the state space dimension, and it allows the initial condition be modeled by an arbitrary distribution. The idea was worked out in detail by Tam-Wong-Yau [TWY] and Yau [Ya 1] [Ya 2]. However, in the Lie algebraic method, one has to know explicitly the structure of the estimation algebra. In 1983, Brockett proposed to classify all finite dimensional filters. In this paper, we report the recent results on classification of finite dimensional maximal rank estimation algebras with arbitrary state space dimension.

CD001304.PDF (From Author)

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On Estimators For Nonlinear Systems In (cal) L_p Spaces

Authors:

Angelo Alessandri, Marcello Sanguineti,

Volume: 1, Page 298 Paper number 1900

Abstract:

Estimation problems are addressed for continuous-time, nonlinear dynamic systems in a general (cal) L_p framework. In this setting, the connection between the observation and the filtering problems is investigated. Under some regularity assumptions for the nonlinearities and suitable bounds on the (cal) L_p norm of the noises, it is proved that the same hypotheses sufficient to design an exponential observer for a system without noises enable one to design a filter which is (cal) L -stable with respect to system and measurement noises. An illustrative example is finally presented.

CD001900.PDF (From Author)

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Monte Carlo Filtering on Lie Groups

Authors:

Alessandro Chiuso, Stefano Soatto,

Volume: 1, Page 304 Paper number 1407

Abstract:

We propose a nonlinear filter for estimating the trajectory of a random walk on a matrix Lie group with constant computational complexity. It is based on a finite-dimensional approximation of the conditional distribution of the state - given past measurements - via a set of fair samples, which are updated at each step and proven to be consistent with the updated conditional distribution. The algorithm proposed, like other Monte Carlo methods, can in principle track arbitrary distributions evolving on arbitrarily large state spaces. However, several issues concerning sample impoverishment need to be taken into account when designing practical working systems.

CD001407.PDF (From Author)

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Data Fusion Based State Estimation Of Nonlinear Discrete Systems

Authors:

Jae-Won Lee, Sukhan Lee, Dongmok Shin,

Volume: 1, Page 310 Paper number 2057

Abstract:

In this paper, we propose a geometric data fusion(GDF) method using Perception-Net which can provide error reducing, uncertainty management, and maintaining consistency. We propose a Perception-Net to design a new state estimator for dynamic systems and apply the proposed geometric data fusion method to obtain the optimal estimate, propagate uncertainties and utilize the system knowledge. We present comparisons between the proposed estimator and the conventional estimators. It is also shown that the additional priori information on the system can be easily utilized in the proposed estimator to improve the performance. Through illustrative examples, it is verified that the proposed estimator presents better performances than the existing filters and improves performances via utilizing system knowledge.

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Sliding Mode Observer for Uncertain Systems, Part I: Linear System Case

Authors:

Yi Xiong, Mehrdad Saif,

Volume: 1, Page 316 Paper number 1221

Abstract:

A new sliding mode observer for linear uncertain systems is proposed. The advantage of the proposed observer is that it works under much less conservative conditions than Wallcot and Zak's observer. In addition, we address the issue of estimating a function of the state as well as unknown inputs or structural uncertainties. Further, the idea is extended to a general class of nonlinear uncertain systems. Numerical examples are used to illustrate the validity of the proposed observer design strategy.

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Sliding Mode Observer for Uncertain Systems, Part II: Nonlinear System Case

Authors:

Yi Xiong, Mehrdad Saif,

Volume: 1, Page 322 Paper number 1222

Abstract:

A new sliding mode observer based on Wallcot and Zak's observer for linear uncertain systems was proposed in Part I of this article. The proposed observer works under much less conservative conditions than the ones previously proposed. In this article, the observer design methodology that was proposed for linear systems in the first part of this paper is extended to a general class of nonlinear uncertain systems. Numerical examples are used to illustrate the validity of the proposed observer design strategy.

CD001222.PDF (From Author)

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