Observer for distributed‐parameter diffusion systems

Kitamura, Shinzo; Sakairi, S.; Nishimura, M.

doi:10.1002/eej.4390920620

Cited by 29 publications

(9 citation statements)

References 7 publications

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“…To generalize observer theory to infinite-dimensional systems, Kitamura et al [20] introduced conditions for the existence and realizability of the observer (8) with no input. The full-order and reduced-order case are also considered with two types of measurements: spatially continuous and spatially discrete.…”

Section: B Infinite-dimensional Observersmentioning

confidence: 99%

Observers for linear distributed-parameter systems: A survey

Hidayat

Babuška

Schutter

et al. 2011

2011 IEEE International Symposium on Robotic and Sensors Environments (ROSE)

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Abstract-This paper reviews different observer design methods for linear dynamic distributed-parameter systems. In such systems, the states, inputs, and outputs depend on some spatial variable. This dependence, along with additional aspects such as the boundary conditions, increase the complexity of the state estimation problem and of the design methods. The paper in particular surveys observers for first-order and second-order linear distributed-parameter systems based on their infinitedimensional and finite-dimensional descriptions.

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Section: B Infinite-dimensional Observersmentioning

confidence: 99%

Observers for linear distributed-parameter systems: A survey

Hidayat

Babuška

Schutter

et al. 2011

2011 IEEE International Symposium on Robotic and Sensors Environments (ROSE)

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“…[20] and one sensor can be guaranteed Γ -strategic sensor (see [21]). The dynamical system (4.6) may be given by…”

Section: Rectangular Domainmentioning

confidence: 99%

Asymptotic Regional Boundary Observer in Distributed Parameter Systems via Sensors Structures

Al-Saphory

2002

Sensors

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Abstract:The purpose of this paper is to study the concept of asymptotic regional observer in connection with the characterizations of sensors. We give various results related to different types of measurements, of domains and boundary conditions. Furthermore, we show that the measurements structures allow the existence of regional observer and we give a sufficient condition for such observer. We also show that, there exists a dynamical system for the considered system is not observer in the usual sense, but it may be regional boundary observer.

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“…Wird nun die Matrix T(z, ζ. t) so gewählt, daß die beiden aus (14) folgenden Bedingungen j W(z, η, t)…”

Section: (Zt)-x(zt) = (W I)x(zt)+w ο _e(zunclassified

“…In diesem Sinne wird die Beobachtersynthese für Systeme mit verteilten Parametern erstmals von Kitamura, Sakairi und Nishimura [14] behandelt. Allerdings werden ausschließlich Diffusionssysteme betrachtet, die durch eine skalare partielle Differentialgleichung beschreibbar sind.…”

Section: Introductionunclassified

Theorie der Zustandsbeobachter mit verteilten Parametern / Theory of distributed parameter state observers

Köhne¹

1976

at - Automatisierungstechnik

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The theory of state observers for linear deterministic systems with lumped parameters founded by Lueneberger is extended for distributed parameter systems with several state variables.A definition of the asymptotic state observer with distributed parameters is given, from which conditions for the sysnthesis of observers are deduced. Two special cases, the observers of full and reduced order, are discussed and illustrated with two examples. The utilization of an observer in the feedback control loop is also investigated. The theoretical results of this paper form a basis for future applications.

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Observer for distributed‐parameter diffusion systems

Cited by 29 publications

References 7 publications

Observers for linear distributed-parameter systems: A survey

Observers for linear distributed-parameter systems: A survey

Asymptotic Regional Boundary Observer in Distributed Parameter Systems via Sensors Structures

Theorie der Zustandsbeobachter mit verteilten Parametern / Theory of distributed parameter state observers

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