Interval observer design for consistency checks of nonlinear continuous-time systems

Raïssi, Tarek; Videau, Gaétan; Zolghadri, Ali

doi:10.1016/j.automatica.2009.12.005

Cited by 151 publications

(135 citation statements)

References 23 publications

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“…Many works on the interval observer design [3], [12], [17], [16] deal with the case of a constant matrix A (or under some transformations the estimation error can be represented in the form with a constant matrix A, next an observer gain L can be found such that A − LC is Hurwitz and Metzler). In the present work, we are going to avoid such a restriction.…”

Section: Resultsmentioning

confidence: 99%

“…Under these assumptions, if we additionally assume that the matrix D is Metzler, then the following interval observer can be designed [3], [12], [17]:…”

Section: Resultsmentioning

confidence: 99%

“…This paper continues the framework of interval observer design based on the monotone system theory [3], [12]. That approach has been recently extended in [17] to nonlinear systems using Linear-Parameter-Varying (LPV) representation with known minorant and majorant matrices, and in [16] for observable nonlinear systems. One of the most complex assumptions for the interval observer design, dealing with cooperativity of the interval estimation error dynamics, was relaxed in [10], [16].…”

Section: Introductionmentioning

confidence: 99%

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Interval state observer for nonlinear time varying systems

et al. 2013

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This paper is devoted to design of interval observers for Linear Time Varying (LTV) systems and a class of nonlinear time-varying systems in the output canonical form. An interval observer design is feasible if it is possible to calculate the observer gains making the estimation error dynamics cooperative and stable. It is shown that under some mild conditions the cooperativity of an LTV system can be ensured by a static linear transformation of coordinates. The efficiency of the proposed approach is demonstrated through numerical simulations.

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Section: Resultsmentioning

confidence: 99%

“…Under these assumptions, if we additionally assume that the matrix D is Metzler, then the following interval observer can be designed [3], [12], [17]:…”

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Interval state observer for nonlinear time varying systems

et al. 2013

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“…Many works on the interval observer design [3], [18], [22], [21] deal with the case of a constant matrix A (or under some transformations the estimation error can be represented in the form with a constant matrix A, next an observer gain L can be found such that A − LC is Hurwitz and Metzler). In the work [7] such a restriction has been avoided.…”

Section: Resultsmentioning

confidence: 99%

“…This paper continues the framework of interval observer design based on the monotone system theory [3], [18]. Such an approach has been recently extended in [22] to nonlinear systems using a LPV representation with known minorant and majorant matrices, in [21] for observable nonlinear systems and in [8] for a combined application of interval and sliding-mode observers. One of the most complex assumptions for the interval observer design, dealing with cooperativity of the interval estimation error dynamics, was relaxed in [16], [21].…”

Section: Introductionmentioning

confidence: 99%

On set-membership observer design for a class of periodical time-varying systems

Efimov

Raïssi

Chebotarev

et al. 2012

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

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Identification for passive robust fault detection using zonotope‐based set‐membership approaches

Blesa

Puig

Saludes

2011

Adaptive Control & Signal

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Abstract:In this paper, the problem of identification for passive robust fault detection when parametric modeling uncertainty is considered. In particular, a zonotope is used to bound the model parametric uncertainty. Two identification methods are introduced following, respectively, the worst-case and setmembership approaches. Then, the underlying hypothesis are discussed and performance is compared.These two identification approaches lead to two robust fault detection tests (namely, the direct and inverse tests) that are also discussed. A case study based on a four tanks system is used to exemplify the properties of the two identification and associated fault detection approaches.

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Interval observer design for consistency checks of nonlinear continuous-time systems

Cited by 151 publications

References 23 publications

Interval state observer for nonlinear time varying systems

Interval state observer for nonlinear time varying systems

On set-membership observer design for a class of periodical time-varying systems

Identification for passive robust fault detection using zonotope‐based set‐membership approaches

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