Journal ArticleDOI
Observer with linear error dynamics for nonlinear multi-output systems
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TLDR
In this paper, a method for designing nonlinear state observers with linear error dynamics is presented, and necessary and sufficient conditions are provided for identifying the class of nonlinear systems for which such observers can be obtained.About:
This article is published in Systems & Control Letters.The article was published on 1999-05-01. It has received 134 citations till now. The article focuses on the topics: Nonlinear system & Observer (quantum physics).read more
Citations
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Journal ArticleDOI
Observers for a class of Lipschitz systems with extension to H∞ performance analysis
TL;DR: Experimental examples are given to show the performances and some limits of the proposed approach to observer design for a class of Lipschitz nonlinear dynamical systems and to illustrate good performances on robustness to measurement errors by avoiding high gain.
Journal ArticleDOI
Semi-global observer for multi-output nonlinear systems
TL;DR: In this paper, an explicit form of nonlinear observers for a class of multi-input multi-output (MIMO) systems is presented, where the subsystem for each output has a triangular dependence on the states of that subsystem itself.
Journal ArticleDOI
An observer design for linear time-delay systems
M. Hou,Pavel Zítek,R.J. Patton +2 more
TL;DR: An observer design is proposed for linear systems with time delays to find a generalized coordinate change such that, in the new coordinates, all the time-delay terms are injected by the system's output.
Journal ArticleDOI
Observer design for one-sided Lipschitz discrete-time systems
TL;DR: The main contribution is to provide some mathematical artifacts on the Lyapunov function to obtain simple and workable stability conditions, furthermore it is shown how to obtain LMI conditions to ensure asymptotic convergence.
Journal ArticleDOI
Observer Design for Lipschitz Nonlinear Systems: The Discrete-Time Case
Ali Zemouche,Mohamed Boutayeb +1 more
TL;DR: This brief deals with observer design for a class of discrete-time nonlinear systems, namely, linear systems with Lipschitz nonlinearities, where a reduced-order version is established where the observer gain is computed in an optimal manner.
References
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Journal ArticleDOI
Generalized Inverse of Matrices and Its Applications
TL;DR: In this article, the generalized inverse of matrices and its applications are discussed and discussed in terms of generalized inverse of matrix and its application in the context of generalization of matrix matrices.
Journal ArticleDOI
Nonlinear controllability and observability
R. Hermann,Arthur J. Krener +1 more
TL;DR: The properties of controllability, observability, and the theory of minimal realization for linear systems are well-understood and have been very useful in analyzing such systems as discussed by the authors.
Journal ArticleDOI
Linearization by output injection and nonlinear observers
Arthur J. Krener,Alberto Isidori +1 more
TL;DR: Observers can easily be constructed for those nonlinear systems which can be transformed into a linear system by change of state variables and output injection.
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Nonlinear observers with linearizable error dynamics
TL;DR: In this article, a method for designing asymptotic observers for a class of nonlinear systems is presented, where the error between the state of the systems and the observer in appropriate coordinates evolves linearly and can be made to decay aribtrarily exponentially fast.
Journal ArticleDOI
Canonical form observer design for non-linear time-variable systems
D. Bestle,Michael Zeitz +1 more
TL;DR: In this article, an observer of canonical (phase-variable) form for non-linear time-variable systems is introduced, which is an assumption similar to that of the extended Kalman filter based on a linearization about the current estimate.