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Xiao Zhao - Reactor network synthesis with guaranteed robust performance

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Xiao Zhao

Reactor network synthesis with guaranteed robust performance

Reihe: Verfahrenstechnik

Band 952 2017

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Summary and outlook S. 133-140

„… presented in this work, in particular to the analysis of the eigenvalue constraints for reactor network …” „… therefore results in the so-called eigenvalue constraint for the design of dynamic systems with specified …” „… to formulate an eigenvalue constraint for the entire reactor network 133 7 Summary and outlook model …”

Introduction S. 1-16

„… by imposing so-called eigenvalue constraints. The considered dynamic properties are formulated by …” „… also modeled in this way. The resulting robust eigenvalue constraint guarantees that not only the …” „… eigenvalue constraints for reactor network synthesis much more complicated, because eigenvalue-based dynamic …”

Solution methods S. 60-106

„… , complementarities, uncertain parameters and eigenvalue constraints. To the author’s knowledge, there do not exist …” „… by setting c in Eq. (5.69) to a very small constant, e.g., 1.0E−6. The eigenvalue constraint can be …” „… between the eigenvalue constraint (5.73) and the semi-definite constraint (5.70). Theorem 5.4.1 (Lyapunov …”

Titelei/Inhaltsverzeichnis

„… , Integration of process and control system design, Superstructure approach, Eigenvalue constraints …” „… . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40 3.2.1 Eigenvalue constraint for open-loop reactor network synthesis . . . 40 3.2.2 Continuity …” „… analysis of the proposed eigenvalue constraint . . . . . . 41 3.2.3 A direct problem formulation …”

Open-loop reactor network synthesis S. 30-46

„… formulating an optimization problem in the next section. 3.2 Problem formulation 3.2.1 Eigenvalue constraint …” „… present an eigenvalue constraint only for non-idle reactors, which will be used in the problem formulation …” „… reactors in the network. So an eigenvalue constraint for guaranteeing dynamic properties of the openloop …”

Case study of allyl chloride production S. 107-132

„… eigenvalue constraint. This problem is in the form of Eq. (3.44) but without constraint (3.44c) and …” „… the superstructure. The triangular points refer to the nominal designs without eigenvalue constraints …” „… unstable. The square points refer to the optimal designs with eigenvalue constraints, which are robustly …”

Simultaneous design of reactor network and its decentralized control system S. 47-59

„… section, we first propose a robust eigenvalue constraint to ensure desired dynamic properties of the …” „… network synthesis in this section. We start by formulating an eigenvalue constraint for the closed-loop …” „… reactor network and its decentralized control system 4.2.1 Eigenvalue constraint for simultaneous reactor …”

Some Preliminaries S. 17-29

„… eigenvalue constraint (2.17) can be used to guarantee specified response speed of nonlinear system (2.1). The …” „… . Fundamental results on dynamic systems will be introduced first. After that we discuss eigenvalue and spectral …” „… ,+∞), if the conditions of Lemma 2.1.1 hold. 18 2.2 Eigenvalue and spectral abscissa functions 2.2 …”

Bibliography S. 158-176

„… programming approaches to mathematical programs with complementarity constraints. SIAM Journal on Optimization …” „… with equilibrium constraints: global convergence and stationarity properties. Mathematical Programming …” „… . Bandoni. Interaction between process design and process operability of chemical processes: an eigenvalue …”

doi.org/10.51202/9783186952035

Wadhah Garhuom - Improving the robustness of the finite cell method for problems with large deformations

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Wadhah Garhuom

Improving the robustness of the finite cell method for problems with large deformations

Reihe: Mechanik/Bruchmechanik

Band 359 2024

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Summary and outlook S. 130-133

„… the moment fitting equations while also incor-porating inequality constraints to guarantee that the …” „… points while maintaining a high level of accuracy. In Chapter 5, we presented an eigenvalue …” „… deformation analysis.The eigenvalue stabilization strategy relies on performing an eigenvalue decomposi-tion …”

Titelei/Inhaltsverzeichnis

„… , Remeshing, Große VerformungKeywords: Finite cell method, Moment fitting quadrature, Eigenvalue stabilization …” „… through a non-negative moment fitting quadrature rule. An eigenvalue stabilization technique is developed …” „… . . . . . . . . . . . . . . . . . . . . . . 534.9.2 Single pore of a foam . . . . . . . . . . . . . . . . . . . . . . . . . . 555 Eigenvalue …”

Introduction S. 1-5

„… ]that yields only positive weights. Thereby, constraints are added to the moment fit-ting procedure to …” „… propose an eigenvalue stabilization procedure [63, 114], inwhich for each broken cell, the small …” „… solution. The eigenvalue stabilization technique iscombined with the α-method to further improve the …”

doi.org/10.51202/9783186359186

VDI Wissensforum GmbH - International Conference on Gears 2022

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VDI Wissensforum GmbH (Hrsg.)

International Conference on Gears 2022

Reihe: VDI-Berichte

Band 2389 2022

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A. Zhang, J. Wei, M. Cao, B. Peng Dynamic modeling and accuracy evaluation method for complex irregular components of aviation transmission S. 573-584

„… system are denoted as M and K, respectively. The eigenvalue problem can be expressed in displacement …” „… space as Eq. (1). Φ is the eigenvector, representing the vibrating mode corresponding to the eigenvalue …” „… model, including the coupling constraints, is reduced to the interface nodes, which is the first step of …”

doi.org/10.51202/9783181023891

VDI Wissensforum GmbH - Dritev – Drivetrain For Vehicles 2018

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VDI Wissensforum GmbH (Hrsg.)

Dritev – Drivetrain For Vehicles 2018

Reihe: VDI-Berichte

Band 2328 2018

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B. Arnold, B. Lecointre Shift simulator for shift feel and quality development of manual transmissions

„… design of shift simulator Packing and appliance constraints drove most of the design of the simulator …” „… constraints. Both motors provide sufficient torque at all shift knob heights. To ensure maximum repeatability …” „… also a result of the packaging constraints mentioned before. Because of the tilted design, the …”

doi.org/10.51202/9783181023280

Christian Redepenning - Pinch-based Methods for Absorption and Extraction Process and Solvent Screening

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Christian Redepenning

Pinch-based Methods for Absorption and Extraction Process and Solvent Screening

Reihe: Verfahrenstechnik

Band 955 2018

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Pinch-based shortcut method for the design of isothermal extraction columns S. 59-89

„… equilibrium is constrained by both the summation constraint and the specified temperature. Hence, the matrix …” „… eigenvalue, λ j, the corresponding eigenvector,e j, is stable, if the eigenvalue is smaller than unity …” „… , unstable, if the eigenvalue is greater than unity, and neutral, if the eigenvalue equals unity (Sandefur …”

Pinch-based shortcut method for the design of adiabatic absorption columns S. 21-58

„… eigenvalue equals unity, while the remaining are smaller or greater than unity. Each situation causes …” „… one eigenvalue equals unity, the behavior is inconclusive and the corresponding eigenvector is called …” „… weights. A fourth type of pinch occurs if one eigenvalue equals unity, Eq. (2.31). Then, the model has a …”

Pinch-based solvent screening for absorption and extraction processes S. 90-136

„… assumption of a linear path of stage compositions. Some well-known models are the eigenvalue criterion (EC …” „… are other constraints which need to be considered when selecting a solvent. Examples are availability …” „… in our procedure, but often these constraints can only be captured with significant additional effort …”

doi.org/10.51202/9783186955036

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