Infinite Dimensional Port Hamiltonian Representation of Chemical Reactors

Zhou, Weijun; Hamroun, Boussad; Gorrec, Yann Le; Couenne, Françoise

doi:10.3182/20120829-3-it-4022.00036

Cited by 6 publications

(5 citation statements)

References 9 publications

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“…Several studies have been also devoted for reaction-diffusion systems in which there is coupling between mass transport and chemical reactions. Different pH models can be found in Šešlija et al (2010, 2014b); Zhou et al (2017Zhou et al ( , 2012Zhou et al ( , 2015. A different way to model multi-scale systems stemming from the combination of hyperbolic and diffusive processes is studied in Le Gorrec & Matignon (2013), where fractional integrals and derivatives are used.…”

Section: Chemical Processesmentioning

confidence: 99%

Twenty years of distributed port-Hamiltonian systems: a literature review

Rashad

Califano

Schaft

2020

IMA Journal of Mathematical Control and Information

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The port-Hamiltonian (pH) theory for distributed parameter systems has developed greatly in the past two decades. The theory has been successfully extended from finite-dimensional to infinite-dimensional systems through a lot of research efforts. This article collects the different research studies carried out for distributed pH systems. We classify over a hundred and fifty studies based on different research focuses ranging from modeling, discretization, control and theoretical foundations. This literature review highlights the wide applicability of the pH systems theory to complex systems with multi-physical domains using the same tools and language. We also supplement this article with a bibliographical database including all papers reviewed in this paper classified in their respective groups.

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Section: Chemical Processesmentioning

confidence: 99%

Twenty years of distributed port-Hamiltonian systems: a literature review

Rashad

Califano

Schaft

2020

IMA Journal of Mathematical Control and Information

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“…Consider the linear, infinite dimensional, port-Hamiltonian system (1) and the equilibrium state x satisfying (31). Then, the control action u = β(x) + u with β defined in (27), H a chosen as in (32), and with u defined in (29) with Ξ > 0, makes x asymptotically stable.…”

Section: Theorem 53 (Asymptotic Stability)mentioning

confidence: 99%

“…As a consequence, X is also called the space of energy variables, and Lx denote the co-energy variables. This class is quite general and includes models of flexible structures, traveling waves [7], [9], [13], heat exchangers, and linearised models of bio or chemical reactors among others, [31].…”

Section: Introductionmentioning

confidence: 99%

On the Synthesis of Boundary Control Laws for Distributed Port-Hamiltonian Systems

Macchelli

Gorrec

Ramírez

et al. 2017

IEEE Trans. Automat. Contr.

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“…e ∂ (t) (1d) on a one-dimensional spatial domain [a, b] (see Section 2 for details). This class includes models of flexible structures, traveling waves [20,12,11], heat exchangers, and linearised models of bio or chemical reactors among others, [22].…”

Section: Introductionmentioning

confidence: 99%

A Lyapunov Approach to Robust Regulation of Distributed Port-Hamiltonian Systems

Paunonen¹,

Gorrec²,

Ramírez³

2019

Preprint

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This paper studies robust output tracking and disturbance rejection for boundary controlled infinite-dimensional port-Hamiltonian systems including second order models such as the Euler-Bernoulli beam. The control design is achieved using the internal model principle and the stability analysis using a Lyapunov approach. Contrary to existing works on the same topic no assumption is made on the external wellposedness of the considered class of systems. The theoretical results are applied in simulations to the robust tracking problem of a piezo actuated tube used in atomic force imaging.

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Infinite Dimensional Port Hamiltonian Representation of Chemical Reactors

Cited by 6 publications

References 9 publications

Twenty years of distributed port-Hamiltonian systems: a literature review

Twenty years of distributed port-Hamiltonian systems: a literature review

On the Synthesis of Boundary Control Laws for Distributed Port-Hamiltonian Systems

A Lyapunov Approach to Robust Regulation of Distributed Port-Hamiltonian Systems

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