Global finite-time observers for non linear systems

Ménard, Tomas; Moulay, Emmanuel; Perruquetti, Wilfrid

doi:10.1109/cdc.2009.5399809

Cited by 3 publications

(1 citation statement)

References 30 publications

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“…Substituting K with its expression, after applying a series of Schur's complements to (37), substituting o A and o F by their expressions, then substituting K by its expression in (16), taking the elements dependent on K Δ to the right-hand side of the inequality, applying property 3 with a scalar 8 δ to the resulting right-hand side matrix, using (17), applying a Schur's complement, multiplying the resulting inequality by α , and defining (21). Note that conditions (38) and (39) are automatically satisfied if (21) holds, and therefore it would be redundant to consider them as conditions for the existence of the observer designed.…”

Section: Theoremmentioning

confidence: 99%

Robust and resilient finite-time bounded observer for a class of discrete-time nonlinear systems with nonlinear measurements

ElBsat

Yaz

2012

2012 IEEE 51st IEEE Conference on Decision and Control (CDC)

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A resilient and robust finite-time bounded observer design is derived for a class of nonlinear systems with nonlinear measurement equations, both having vanishing nonlinear model perturbations and additive disturbances. The observer is robust for all vanishing nonlinear perturbations in the system model and measurements, and it is resilient against bounded perturbations in the observer gain. Therefore, in the presence of unknown and vanishing nonlinear perturbations and additive disturbances with known waveforms, the estimation error magnitude remains below a prescribed bound over a finite-time interval. Furthermore, under special conditions, the estimation error can also be made asymptotically stable. A Luenberger type nonlinear observer is used to find an estimate of the unknown state vector from the available measurements. A set of conditions, representing a set of linear matrix inequalities, which guarantee the existence of such an observer and allow a solution for the observer gain and the bound on the maximum allowable gain perturbation is derived. The paper is concluded with a numerical example, which illustrates the applicability of the observer design.

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Section: Theoremmentioning

confidence: 99%

Robust and resilient finite-time bounded observer for a class of discrete-time nonlinear systems with nonlinear measurements

ElBsat

Yaz

2012

2012 IEEE 51st IEEE Conference on Decision and Control (CDC)

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Prescribed-Time High-Gain Nonlinear Observer Design for Triangular Systems

Adil

Ndoye

Hamaz

et al. 2021

2021 9th International Conference on Systems and Control (ICSC)

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Observability and State Estimation for a Class of Nonlinear Systems

Tsinias

Kitsos

2019

IEEE Trans. Automat. Contr.

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We derive sufficient conditions for the solvability of the state estimation problem for a class of nonlinear control time-varying systems which includes those, whose dynamics have triangular structure. The state estimation is exhibited by means of a sequence of functionals approximating the unknown state of the system on a given bounded time interval. More assumptions guarantee solvability of the state estimation problem by means of a hybrid observer.Index Terms-nonlinear systems, observability, state estimation, hybrid observers. J. Tsinias is with the

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Global finite-time observers for non linear systems

Abstract: A global finite-time observer is designed for nonlinear systems which are uniformly observable and globally Lipschitz. This result is based on a high-gain approach.

Cited by 3 publications

References 30 publications

Robust and resilient finite-time bounded observer for a class of discrete-time nonlinear systems with nonlinear measurements

Robust and resilient finite-time bounded observer for a class of discrete-time nonlinear systems with nonlinear measurements

Prescribed-Time High-Gain Nonlinear Observer Design for Triangular Systems

Observability and State Estimation for a Class of Nonlinear Systems

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