Observers for Nonlinear 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

Robust Output-Feedback Design Using a New Class of Nonlinear Observers

Authors:

Murat Arcak, Petar V. Kokotović,

Volume: 1, Page 778 Paper number 1484

Abstract:

This paper analyzes the robustness of a nonlinear observer design recently introduced by the authors. For uncertainties in the nonlinearities, bounds are given within which the observer error gradually increases with an increase in the uncertainty. For dynamic modeling errors, a robust output-feedback design is developed using ISS small-gain tools. A jet engine compressor example is used to illustrate the design.

CD001484.PDF (From Author)

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Approximate High-Gain Observers For Uniformly Observable Nonlinear Systems

Authors:

Jaime Moreno, Alejandro Vargas,

Volume: 1, Page 784 Paper number 1962

Abstract:

A methodology for the design of continuous practical observers for nonlinear uniformly observable systems is presented. The system is first transformed into observability normal form, using the observability map semi-diffeomorphism. Since this normal form may have a non-Lipschitz continuous right hand side, a so called (epsilon)-approximate high-gain observer is designed for it, constituting the dynamic part of the observer. The inverse of the transformation is used as the static part. Convergence of the observer's state trajectory to a ball around the true state trajectory is guaranteed, with the radius of the ball as small as desired.

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Unknown Input Observers For SISO Nonlinear Systems

Authors:

Jaime Moreno,

Volume: 1, Page 790 Paper number 1964

Abstract:

The existence conditions for unknown input observers for LTI systems are well known and several methods for its design have been proposed in the literature. However, for nonlinear systems only sufficient conditions are known for certain classes of systems. In this paper sufficient conditions under which the construction of an state unknown input observer for nonlinear systems are derived. Furthermore, this conditions are also shown to be necessary, under some additional conditions. A method to design full order and reduced order unknown input observers is proposed, and its convergence is analyzed. Although in this paper the study is restricted to SISO systems, most of the results can be carried on to MIMO systems. These results are important in the design of Fault Detection and Isolation Filters, robust nonlinear observers, and decentralized control.

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Unknown Input Reduced Order Observer For Singular Bilinear Systems With Bilinear Measurements

Authors:

Michel Zasadzinski, Eric Magarotto, Mohamed Darouach,

Volume: 1, Page 796 Paper number 2028

Abstract:

In this paper, a method to design a reduced order unknown input observer for bounded control inputs singular bilinear system with bilinear measurements and subjected unknown disturbances is investigated. The design of this unknown input is divided into two parts. The first one consists in solving some algebraic constraints to obtain an observation error which is decoupled from the unknown disturbances. In the second part, an LMI is solved to ensure the exponential stability of the reconstruction error for all admissible control inputs and unmeasurable disturbances.

CD002028.PDF (From Author)

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Embedding For Exponential Observers Of Nonlinear Systems

Authors:

Alain Rapaport, Abdelmalek Maloum,

Volume: 1, Page 802 Paper number 1329

Abstract:

For nonlinear systems in R^n which admit an observability index m strictly larger than n, we show that under the existence of an injective immersion onto a manifold of R^m, one can build an exponential observer. The main point concerns the determination of a Lipschitz extension to R^m of the dynamics, which is defined only on a manifold of dimension n. We propose some constructive tools and illustrate their utility on a simple biological model.

CD001329.PDF (From Author)

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High Gain Observer For A Class Of Implicit Systems

Authors:

Hassan Hammouri, Nicolas Marchand,

Volume: 1, Page 804 Paper number 2081

Abstract:

Under some observability assumptions (uniform observability), a high gain observer for a class of implicit dynamical systems is given in this paper. Numerically, the computation of trajectories of such implicit systems usually necessitates the use of an optimization algorithm together with an ODE numerical method. This complicates the synthesis of an observer. The observer design proposed here leads to a classical dynamical system defined on some R^N, with N >= n, n being the dimension of the state space of the implicit system.

CD002081.PDF (From Author)

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Recursive Observer Design Beyond the Uniform Observability

Authors:

Hyungbo Shim, Jin Heon Seo,

Volume: 1, Page 809 Paper number 1101

Abstract:

We propose a novel recursive design scheme of state observer for lower triangular nonlinear systems. The design begins from the bottom dynamics and propagates to upper dynamics recalling the backstepping scheme for nonlinear control. The proposed class of systems is fairly general since it includes non-uniformly observable or detectable multi-output systems. The error convergence to zero is proved assuming the boundedness of input a posteriori, which is preferable whereas most results in the literature assume the boundedness a priori. A global observer is proposed with the global Lipschitz condition of the system. However, this condition is removed via the Lipschitz extension technique when the semi-global observer is of interest.

CD001101.PDF (From Author)

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