High gain estimation for nonlinear systems

Deza, F.; Busvelle, Éric; Gauthier, Jean-Paul; Rakotopara, D.

doi:10.1016/0167-6911(92)90059-2

Cited by 247 publications

(166 citation statements)

References 7 publications

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“…During the past few years, the high gain observer played an important role in the design of nonlinear output feedback control of nonlinear systems [26,27]. It is mainly used to estimate the derivatives of the output.…”

Section: Comparisons To Two Existing Methods 421 High Gain Observermentioning

confidence: 99%

Synthesis on a class of algebraic differentiators and application to nonlinear observation

Liu

Gibaru

Perruquetti

2014

Proceedings of the 33rd Chinese Control Conference

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Section: Comparisons To Two Existing Methods 421 High Gain Observermentioning

confidence: 99%

Synthesis on a class of algebraic differentiators and application to nonlinear observation

Liu

Gibaru

Perruquetti

2014

Proceedings of the 33rd Chinese Control Conference

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“…So, after step 1, we have Z 2 = z 8 , z 13 , z 1,3 , z 5,6,7 . As θ(Z 2 ) = 4 > θ(Z 1 ) = 1, we go to step 2.…”

Section: Which Allows To Verify Condition (Cond2)mentioning

confidence: 99%

“…These conditions are mainly difficult to apply to large scale systems because they are based on the computation of the rank of the observability matrix. Note that some studies assume that the system can be transformed into some triangular form which ensures the uniform observability and which is used in the design of nonlinear observers [2,7,14,19].…”

Section: Introductionmentioning

confidence: 99%

Uniform Observability Analysis for Structured Bilinear Systems A Graph-theoretic Approach

Boukhobza¹,

Hamelin²,

Sauter³

2006

European Journal of Control

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To cite this version:Taha Boukhobza, Frédéric Hamelin, Dominique Sauter. Uniform observability analysis for structured bilinear systems: A graph-theoretic approach. European Journal of Control, Lavoisier, 2006, 12 (5) Abstract This paper deals with the analysis of generic uniform observability for structured bilinear systems. The proposed method is based on a graph-theoretic approach and assumes only the knowledge of the system's structure. We express, in graphical terms two conditions, the first one is necessary and the second one is sufficient, to check whether or not they are generically uniformly observable. These conditions are quite easy to verify because they are based on comparisons of integers and on finding edges and subgraphs in a digraph. Therefore, our approach is very well suited to study large scale and/or uncertain systems.

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“…The robustness of observers under discretization was studied in [5], and [1,10,15] used output predictors to design observers; see also the works [4,8,13,17,19]. The paper [2] designed continuous-discrete observers for nonlinear continuous time systems, where the input of the system satisfies a persistent excitation condition, and [18] covers systems that are linear in the state and have known inputs.…”

Section: Introductionmentioning

confidence: 99%

“…The high gain observer approach in [11] was extended to continuous-discrete systems in [8], where the impulsive correction gain is found using a continuousdiscrete Riccati equation. The robustness of observers under discretization was studied in [5], and [1,10,15] used output predictors to design observers; see also the works [4,8,13,17,19].…”

Section: Introductionmentioning

confidence: 99%

Continuous-Discrete Observers for Time-Varying Nonlinear Systems: A Tutorial on Recent Results

Mazenc¹,

Andrieu²,

Malisoff³

2015

2015 Proceedings of the Conference on Control and Its Applications

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Continuous-discrete systems can occur when the plant state evolves in continuous time but the output values are only available at discrete instants. Continuous-discrete observers have the valuable property that the observation error between the true state of the system and the observer state converges to zero in a uniform way. The design of continuousdiscrete observers can often be done by building framers, which provide componentwise upper and lower bounds for the plant state. This paper is a tutorial on these approaches, highlighting recent results in the literature, and also providing previously unpublished, original results which are not being simultaneously submitted elsewhere.

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High gain estimation for nonlinear systems

Cited by 247 publications

References 7 publications

Synthesis on a class of algebraic differentiators and application to nonlinear observation

Synthesis on a class of algebraic differentiators and application to nonlinear observation

Uniform Observability Analysis for Structured Bilinear Systems A Graph-theoretic Approach

Continuous-Discrete Observers for Time-Varying Nonlinear Systems: A Tutorial on Recent Results

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