Adaptive high gain observer for uniformly observable systems with nonlinear parametrization

Ménard, Tomas; Maouche, Abdelaziz; Targui, Boubekeur; Bouraoui, I.; Farza, M.; M’Saad, M.

doi:10.1109/ecc.2014.6862310

Cited by 8 publications

(8 citation statements)

References 27 publications

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“…Before giving the main outlines of the proof, let us point out some useful properties, related to the function φ and the persistent excitation condition (30), that will be used throughout the proof (See [25] for further details).…”

Section: Adaptive Observer Design For the Triangular Formmentioning

confidence: 99%

“…The adaptive observer design will be carried out following the approach proposed in [24] and [25] together with the implementation procedure proposed in [26]. We will first focus on the adaptive observer design on the basis of the triangular form before coming back to the original coordinates.…”

Section: Adaptive Observer Designmentioning

confidence: 99%

“…This observer design can be performed following the approach proposed in [24] and [25] under admissible assumptions on the basis of the following useful elements.…”

Section: Adaptive Observer Design For the Triangular Formmentioning

confidence: 99%

“…The first one is the adaptive observer proposed in [24] for uniformly observable systems under a non admissible persistent excitation assumption. The second contribution provides an adaptive observer that has been recently proposed in [25] under an admissible persistent excitation assumption thanks to a genuine exploitation of the characteristic indices associated to the unknown parameters. The third contribution has been proposed in [26] to addresses the question of how to tackle the singularities occurring whenever the observability is lost over largely spaced small time horizons.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

High gain adaptive observer design for sensorless state and parameter estimation of induction motors

Maouche

M’Saad

Bensaker

et al. 2015

Int. J. Control Autom. Syst.

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This paper addresses the problem of accurately estimating the mechanical and magnetic state variables as well as the stator and rotor resistances of induction motors using only the stator current measurements and the supplied stator voltages from an appropriate nonlinear parametrization. The involved estimation is carried out by a high gain adaptive observer designed bearing in mind the available fundamental results together with the useful implementation features, namely conception simplicity and computational efficiency. An exponential convergence of the state and parameter estimation errors is established under admissible assumptions, namely the persistent excitation requirement has been particularly reduced thanks to the introduction of unknown parameter characteristic indices. The effectiveness of the adaptive observer is highlighted throughout simulation results involving a typical induction motor.

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Section: Adaptive Observer Design For the Triangular Formmentioning

confidence: 99%

Section: Adaptive Observer Designmentioning

confidence: 99%

“…This observer design can be performed following the approach proposed in [24] and [25] under admissible assumptions on the basis of the following useful elements.…”

Section: Adaptive Observer Design For the Triangular Formmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

High gain adaptive observer design for sensorless state and parameter estimation of induction motors

Maouche

M’Saad

Bensaker

et al. 2015

Int. J. Control Autom. Syst.

View full text Add to dashboard Cite

show abstract

“…Some high‐gain‐based observers have been proposed for systems with a triangular structure. Indeed, Single‐Input Single‐Output (SISO) systems have been considered in References 16 and 17 and MIMO systems in Reference 18. An observer based on the concept of weakly attracting sets has also been presented in Reference 19, but which does not guarantee the asymptotic stability.…”

Section: Introductionmentioning

confidence: 99%

Adaptive observer design for a class of Lipschitz nonlinear systems with multirate outputs and uncertainties: Application to attitude estimation with gyro bias

Bonargent

Ménard

Gehan

et al. 2021

Intl J Robust & Nonlinear

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The design of an adaptive observer for a class of multi‐input multi‐output Lipschitz nonlinear systems with uncertainties and multirated outputs is proposed in this paper. The sampling instants of the different outputs can be asynchronous and irregular. The exponential convergence of the proposed observer is proved with the help of a Lyapunov approach. The stability is ensured, provided that some conditions, including a persistent excitation condition and a maximum value condition on the sample rate of each output, are verified. The performances of the observer are illustrated through simulations of the attitude estimation problem using sensors from an inertial measurement unit and considering gyro bias.

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Design of a joint adaptive high‐gain observer for a class of nonlinear sampled‐output system with unknown states and parameters

Zhuang

Wang

Ali

et al. 2022

Intl J Robust & Nonlinear

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In this article, a joint adaptive high-gain observer design method is proposed for a class of nonlinear systems subject to sampled output data measurements. The considered class of system is characterized by a nonlinear term coupled with an unknown parameter that enters the system in both the outputs and the states equations. The fact that the considered system involves an output sampling process and an unknown parameter renders the design of the nonlinear adaptive observer more difficult. To overcome this difficulty, a novel closed-loop output predictor is proposed. Based on the well-known decoupling method between the state and unknown parameters, a joint adaptive high-gain observer which can simultaneously guarantee the exponential convergence of the estimation of the unknown state and the unknown parameter is proposed in this article. The structure of the designed observer has been extended to the case of sampled and delayed data measurements. The effectiveness of our proposed observer is demonstrated through numerical simulations and performance comparison with another observer structure proposed in the literature.

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Adaptive high gain observer for uniformly observable systems with nonlinear parametrization

Cited by 8 publications

References 27 publications

High gain adaptive observer design for sensorless state and parameter estimation of induction motors

High gain adaptive observer design for sensorless state and parameter estimation of induction motors

Adaptive observer design for a class of Lipschitz nonlinear systems with multirate outputs and uncertainties: Application to attitude estimation with gyro bias

Design of a joint adaptive high‐gain observer for a class of nonlinear sampled‐output system with unknown states and parameters

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