Regional observability and sensor structures

Jai, A. El; Simon, Matthieu; Zerrik, El Hassan

doi:10.1016/0924-4247(93)80204-t

Cited by 56 publications

(27 citation statements)

References 3 publications

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“…Thus, we know that the sensors form an important link between a system and its environment [17][18]. In any case of sensors is considered via a space variable, mathematically speaking, the space variable is present in all systems described by partial differential equations [12].…”

Section: Concept Of Sensorsmentioning

confidence: 99%

“…Thus, the observation problem is depended on the possibility of the state reconstruction from the knowledge of system dynamics and output function by using an approach to choose the best sensor may be strategic [6][7]. Recently, regional strategic sensors characterizations is developed by El-Jai, Zerrik and Al-Saphory et al for different cases in finite [8][9][10][11] or infinite time interval, may be represented as regional asymptotic systems analysis [12][13][14][15][16] and focused on state estimation in a sub-region of the domain Ω [17][18]. The purpose of this paper is to extend the previous results as in ref.…”

Section: Introductionmentioning

confidence: 99%

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Regional Boundary Strategic Sensors Characterizations

Al-Saphory¹,

Kolaib²

2018

JAM

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This paper, deals with the linear infinite dimensional distributed parameter systems in a Hilbert space where the dynamics of the system is governed by strongly continuous semi-groups. More precisely, for parabolic distributed systems the characterizations of regional boundary strategic sensors have been discussed and analyzed in different cases of regional boundary observability in infinite time interval. Furthermore, the results so obtained are applied in two-dimensional systems and the sensors are studied under which conditions guarantee regional boundary observability in a sub-region of the system domain boundary. Also, the authors show that, the existence of a given sensor for the diffusion system is not strategic in the usual sense, but it may be regional boundary strategic of this system.

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Section: Concept Of Sensorsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Regional Boundary Strategic Sensors Characterizations

Al-Saphory¹,

Kolaib²

2018

JAM

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“…However, the study may be also become concrete, in some sense, by using the structures of actuators and sensors. Thus, one can study the different concepts of controllability via actuators structures [3][4][5] or the different concepts of observability via sensors structures [6][7][8].…”

Section: Introductionmentioning

confidence: 99%

Gradient remediability in linear distributed parabolic systems analysis, approximations and simulations

Rekkab

Benhadid

2017

J. Fundam and Appl Sci.

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The aim of this paper is the introduction of a new concept that concerned the analysis of a large class of distributed parabolic systems. It is the general concept of gradient remediability.More precisely, we study with respect to the gradient observation, the existence of an input operator (gradient efficient actuators) ensuring the compensation of known or unknown disturbances acting on the considered system. Then, we introduce and we characterize the notions of exact and weak gradient remediability and their relationship with the notions of exact and weak gradient controllability. Main properties concerning the notion of gradient efficient actuators are considered. The minimum energy problem is studies, and we show how to find the optimal control, which compensates the disturbance of the system. Approximations and numerical simulations are also presented.

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“…For distributed parameter systems, the concept of regional observability was introduced by El Jai et al and interesting results have been obtained, whose target of interest is not fully the geometrical evolution domain , Ω but just in an internal subregion ω of Ω (see [4], [5]) or on a part of the boundary ∂Ω of Ω (see [6], [7]). Later the notion of regional gradient observability was developed (see [8]); it concerns the reconstruction of the initial state gradient only in a critical subregion of the system without the knowledge of the state.…”

Section: Introductionmentioning

confidence: 99%

Enlarged Gradient Observability for Distributed Parabolic Systems: HUM Approach

Zouiten¹,

Boutoulout²,

Alaoui³

2017

ICA

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This paper is focused on studying an important concept of the system analysis, which is the regional enlarged observability or constrained observability of the gradient for distributed parabolic systems evolving in the spatial domain. Ω We will explore an approach based on the Hilbert Uniqueness Method (HUM), which can reconstruct the initial gradient state between two prescribed functions 1 f and 2 f only in a critical subregion ω of Ω without the knowledge of the state. Finally, the obtained results are illustrated by numerical simulations.

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Regional observability and sensor structures

Cited by 56 publications

References 3 publications

Regional Boundary Strategic Sensors Characterizations

Regional Boundary Strategic Sensors Characterizations

Gradient remediability in linear distributed parabolic systems analysis, approximations and simulations

Enlarged Gradient Observability for Distributed Parabolic Systems: HUM Approach

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