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Observability functions for linear and nonlinear systems

Systems & Control Letters, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gray, W. Steven, Mesko, Joseph P.
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Observers for Linear Dynamical Systems with Indeterminacy

Differential Equations, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Il'in, A. V.   +3 more
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Robust observer for uncertain linear systems

Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148), 2001
A new technique for designing robust observers for perturbed linear systems is presented. The observer design uses intermediate inputs in a manner reminiscent of the virtual inputs of the backstepping technique. The resulting observer is robust since the estimated state converges to the actual state despite model uncertainties.
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Switch-observer for switched linear systems

2017 IEEE 56th Annual Conference on Decision and Control (CDC), 2017
To determine the switching signal and the state of a switched linear system, one usually requires mode observability. This requires that all individual modes are observable and that the modes are distinguishable. In theory, it allows to determine the active mode in an arbitrarily short time.
Ferdinand Küsters   +2 more
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Observability of linear stochastic uncertain systems

Proceedings of the 41st IEEE Conference on Decision and Control, 2002., 2003
A concept of observability of uncertain systems has received some attention in the recent literature. In this paper, we extend this concept to stochastic uncertain systems. We show that the observability of a stochastic uncertain system can be characterized using a relative entropy functional which plays the same role as the observability Gramian plays
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Design of linear observers for a class of linear hybrid systems

International Journal of Systems Science, 2000
This paper deals with the design of linear observers for a class of linear hybrid systems. Such systems are composed of continuous-time and digital substates and possess, in general, coupling dynamics between both substates. Two observer prototypes based on the prediction error are proposed. The first is based on the observation of an extended discrete
Manuel de la Sen, Ningsu Luo
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Observability for Switched Linear Systems: Characterization and Observer Design

IEEE Transactions on Automatic Control, 2013
This paper presents a characterization of observability and an observer design method for switched linear systems with state jumps. A necessary and sufficient condition is presented for observability, globally in time, when the system evolves under predetermined mode transitions.
Aneel Tanwani   +2 more
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Asymptotic observers for non-linear systems†

International Journal of Systems Science, 1992
Abstract Observer design for non-linear systems is discussed. Some recent approaches are based on state and output change of coordinates to transform a non-linear system into a particular observer form, from which an asymptotic observer can be designed ensuring the asymptotic stability of the error dynamics in the new coordinates.
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Observability implies observer design for switched linear systems

Proceedings of the 14th international conference on Hybrid systems: computation and control, 2011
This paper presents a characterization of observability and an observer design method for a class of hybrid systems. A necessary and sufficient condition is presented for observability, globally in time, when the system evolves under predetermined mode transitions.
Aneel Tanwani   +2 more
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Behavior of Observations of Linear Control Systems

SIAM Journal on Control and Optimization, 1976
Given two linear control systems with reachable sets $R_1 (t)$, $R_2 (t)$, respectively, and a constant matrix M, directly verifiable necessary and sufficient conditions are obtained for the coincidence $R_1 (t) = MR_2 (t)$ for all $t > 0$.
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