Journal ArticleDOI
Stable adaptive observers for nonlinear time-varying systems
Georges Bastin,Michel Gevers +1 more
TLDR
In this article, an adaptive observer/identifier for single input/single output observable nonlinear systems that can be transformed to a certain observable canonical form is described, and sufficient conditions for stability of this observer are provided.Abstract:
An adaptive observer/identifier for single input/single output observable nonlinear systems that can be transformed to a certain observable canonical form is described. Sufficient conditions for stability of this observer are provided. These conditions are in terms of the structure of the system and canonical form, the boundedness of the parameter variations, and the sufficient richness of some signals. The scope of the canonical form and the use of the observer/identifier is motivated by the presentation of applications to time-invariant bilinear systems, nonlinear systems in phase-variable form a biotechnological process, and a robot manipulator. In each case, the specific stability conditions are presented. >read more
Citations
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Journal ArticleDOI
Survey of robust residual generation and evaluation methods in observer-based fault detection systems
P.M. Frank,X. Ding +1 more
TL;DR: In this paper, the authors outline recent advances of the theory of observer-based fault diagnosis in dynamic systems towards the design of robust techniques of residual generation and residual evaluation, including H∞ theory, nonlinear unknown input observer theory, adaptive observer theory and artificial intelligence including fuzzy logic, knowledge-based techniques and the natural intelligence of the human operator.
Journal ArticleDOI
Global adaptive output-feedback control of nonlinear systems. II. Nonlinear parameterization
Riccardo Marino,P. Tomei +1 more
TL;DR: A self-tuning version of the robust control capable of achieving set point regulation is developed in which the control gains are tuned by an output-feedback adaptive algorithm.
Journal ArticleDOI
A Luenberger-like observer for nonlinear systems
TL;DR: In this paper, a state observer is proposed for nonlinear continuous time systems which extends the well known Luenberger observer, and on the basis of simple assumptions on the regularity of the system equations, which are generally satisfied for physically meaningful dynamic systems, the global asymptotic convergence of the estimated state towards the true state is shown.
Journal ArticleDOI
Deterministic nonlinear observer-based approaches to fault diagnosis: A survey
E. Alcorta Garcia,Paul M. Frank +1 more
TL;DR: Some schemes extending the well-known diagnosis methods for linear systems to the nonlinear case are considered and the robustness of these schemes in presence of unknown inputs is discussed.
Journal ArticleDOI
Adaptive observer for multiple-input-multiple-output (MIMO) linear time-varying systems
TL;DR: For joint state-parameter estimation in linear time-varying (LTV) multiple-input-multiple-output (MIMO) systems, an approach to the design of adaptive observers is proposed that is conceptually simple and computationally efficient and global exponential convergence is established for noise-free systems.
References
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Journal ArticleDOI
Asymptotic behavior of the extended Kalman filter as a parameter estimator for linear systems
TL;DR: In this paper, a convergence analysis of the extended Kalman filter for nonlinear systems with unknown parameters is given, and it is shown that in general the estimates may be biased or divergent and the causes for this are displayed.
Journal ArticleDOI
Adaptive observers with exponential rate of convergence
TL;DR: In this article, the problem of observing the state of an unknown, time invariant linear system from measurements of its input and output is considered, and the approach taken here proceeds from a parametrized observer, which is only an alternative, equivalent representation of the Luenberger observer.
Journal ArticleDOI
On the estimation of state variables and parameters for noisy dynamic systems
TL;DR: The problem of estimating state variables and parameters is considered for discrete-time systems in the presence of random disturbances and measurement noise and an approximation technique is developed for nonlinear systems.
Book
Stability of adaptive systems: passivity and averaging analysis
Brian D. O. Anderson,Robert R. Bitmead,C. Richard Johnson,Petar V. Kokotovic,Robert L. Kosut,Iven Mareels,Laurent Praly,B. Riedle +7 more
Journal ArticleDOI
An adaptive observer and identifier for a linear system
G. Luders,K. Narendra +1 more
TL;DR: An adaptive scheme is devised which observes the state and simultaneously identifies all the parameters of a single-input single-output n th-order linear system, thus ensuring the convergence of the identification process.