High gain observer design for nonlinear systems with time varying delayed measurements

Assche, Vincent Van; Ahmed‐Ali, Tarek; Hann, Cheikh A.B.; Lamnabhi-Lagarrigue, F.

doi:10.3182/20110828-6-it-1002.02421

Cited by 53 publications

(42 citation statements)

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“…Similar results have been studied in [1,12]. Moreover, by taking transmission delay into consideration, a high gain observer design was proposed for a class of nonlinear systems [16]. It is noted that the results of [16] can be easily extended to the case of sampled measurements.…”

Section: Doi: 1014736/kyb-2016-3-0441supporting

confidence: 50%

“…Moreover, by taking transmission delay into consideration, a high gain observer design was proposed for a class of nonlinear systems [16]. It is noted that the results of [16] can be easily extended to the case of sampled measurements. In [2], two kinds of different structure of continuous-discrete observers were proposed for a class of state affine systems.…”

Section: Doi: 1014736/kyb-2016-3-0441mentioning

confidence: 99%

“…Therefore, the values of sampled data from data collector may not be the real values of original data. However, in the papers [1, 2,3,6,8,12,16,17,18], the values of sampled data are directly used for observers design, which may not be true for sampled-data systems. For this reason, we should specify the maximum byte of the sampled data and how the original data are truncated.…”

Section: Doi: 1014736/kyb-2016-3-0441mentioning

confidence: 99%

“…ii) a hybrid observer design based on a mixed continuous-time and discrete-time design [1, 2,3,6,8,12,16,17,18].…”

Section: Doi: 1014736/kyb-2016-3-0441mentioning

confidence: 99%

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Globally uniformly ultimately bounded observer design for a class of nonlinear systems with sampled and delayed measurements

Zhang¹,

Shen²,

Xia³

2016

Kybernetika

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Globally uniformly ultimately bounded observer design for a class of nonlinear systems with sampled and delayed measurements Kybernetika, Vol. 52 (2016) In this paper, we consider two kinds of sampled-data observer design for a class of nonlinear systems. The system output is sampled and transmitted under two kinds of truncations. Firstly, we present definitions of the truncations and the globally uniformly ultimately bounded observer, respectively. Then, two kinds of observers are proposed by using the delayed measurements with these two truncations, respectively. The observers are hybrid in essence. For the first kind of observers, by constructing a Lyapunov-Krasovskii functional, sufficient conditions of globally uniformly ultimately bounded of the estimation errors are derived, and the maximum allowable sampling period and the maximum delay are also given. For the second ones, sufficient conditions are also given to ensure that the estimation errors are globally uniformly ultimately bounded. Finally, an example is provided to illustrate the design methods.,

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Section: Doi: 1014736/kyb-2016-3-0441supporting

confidence: 50%

Section: Doi: 1014736/kyb-2016-3-0441mentioning

confidence: 99%

Section: Doi: 1014736/kyb-2016-3-0441mentioning

confidence: 99%

“…ii) a hybrid observer design based on a mixed continuous-time and discrete-time design [1, 2,3,6,8,12,16,17,18].…”

Section: Doi: 1014736/kyb-2016-3-0441mentioning

confidence: 99%

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Globally uniformly ultimately bounded observer design for a class of nonlinear systems with sampled and delayed measurements

Zhang¹,

Shen²,

Xia³

2016

Kybernetika

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“…Recently, an interesting state observer was proposed in [19] for a discrete-time Lipschitz non-linear system with constant delayed output. In [20], a high-gain observer was designed for nonlinear continuous systems with varying delayed measurement. It is noticed that the results of [19,20] are for state estimates only, and no efforts were paid for the recovery of the system performance caused by measurement delays.…”

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confidence: 99%

Estimation and Compensation for Lipschitz Nonlinear Discrete-Time Systems Subjected to Unknown Measurement Delays

Gao

2015

IEEE Trans. Ind. Electron.

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Abstract-Unknown measurement delays usually degrade system performance, and even damage the system under output feedback control, which motivates us to develop an effective method to attenuate or offset the adverse effect from the measurement delays. In this paper, an augmented observer is proposed for discrete-time Lipschitz nonlinear systems subjected to unknown measurement delays, enabling a simultaneous estimation for system states and perturbed terms caused by the output delays. On the basis of the estimates, a sensor compensation technique is addressed to remove the influence from the measurement delays to the system performance. Furthermore, an integrated robust estimation and compensation technique is proposed to decouple constant piece-wise disturbances, attenuate other disturbances/noises, and offset the adverse effect caused by the measurement delays. The proposed methods are applied to a two-stage chemical reactor with delayed recycle, and an electro-mechanical servo system, which demonstrates the effectiveness of the present techniques.Index Terms-Discrete-time systems, measurement delays, nonlinear systems, observers, robustness, signal compensation. I. INTRODUCTIONIPSCHITZ nonlinear systems have attracted continuous interest during the last decades, since many nonlinearities in engineering systems can be characterized, at least locally, as Lipschitz form. Fruitful results have been reported for a variety of research issues on Lipscthiz nonlinear systems such as stabilization and control [1][2][3], estimation and filtering [4,5], and fault diagnosis [6,7]. Meanwhile, time delays always exist in practical processes due to the distributed nature of the system, material transport, and communication lag, which may cause the system performance degradation, and even instability [8][9][10][11]. Therefore, research on nonlinear systems Manuscript received July 26, 2014; revised March 7, 2015; accepted March 27, 2015. Copyright © 2015 IEEE. Personal use of this material is permitted. However, permission to use this material for any other purposes must be obtained from the IEEE by sending a request to pubs-permission@ieee,org.The work is partially supported by the Alexander von Humboldt Foundation (GRO/1117303 STP) and the sabbatical leave scheme at the E&E faculty in the University of Northumbria.Z. Gao is with the Faculty of Engineering and Environment (E&E), University of Northumbria at Newcastle, Newcastle upon Tyne, NE1 8ST, UK (+441912437832; e-mail: zhiwei.gao@northumbria.ac.uk).subjected to delays has received much more attention. In [12], state and output feedback stabilization was discussed for Lipschitz nonlinear systems with delays. In [13], a distributed ∞ filter was proposed for a class of Markovian jump nonlinear time-delay systems over lossy sensor networks. By using linear matrix inequality technique, a robust observer was presented in [14] for nonlinear discrete-time systems with time-delays. In [15], an adaptive observer was addressed for Lipschitz nonlinear systems with time-varying de...

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Observers Design for Systems with Sampled Measurements, Application to AC Motors

Assche¹,

Dorléans²,

Massieu³

et al. 2013

AC Electric Motors Control

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High gain observer design for nonlinear systems with time varying delayed measurements

Cited by 53 publications

References 10 publications

Globally uniformly ultimately bounded observer design for a class of nonlinear systems with sampled and delayed measurements

Globally uniformly ultimately bounded observer design for a class of nonlinear systems with sampled and delayed measurements

Estimation and Compensation for Lipschitz Nonlinear Discrete-Time Systems Subjected to Unknown Measurement Delays

Observers Design for Systems with Sampled Measurements, Application to AC Motors

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