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Sensing linear viscoelastic constitutive parameters with a Timoshenko beam on a multi-layer foundation: Modeling and simulation

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Sensing and Bio-Sensing Research 2015年 4卷 78-89页

作者： Fattahi, Javad Spinello, Davide Department of Mechanical Engineering University of Ottawa Ottawa K1N 6N5 ON Canada

We present a sensor model comprised of a Timoshenko beam coupled with a linear viscoelastic substrate via a distributed system of compliant elements. The system of governing equations includes the evolution of the kinematic descriptors of the Timoshenko beam and of the interface between the coupling elements and the viscoelastic substrate. This model is used to pose an inverse problem aimed at estimating the constitutive parameters of the substrate from deformation measurements of the beam. The sensing model is demonstrated by comparing its prediction with published experimentally obtained constitutive parameters identifying standard linear viscoelastic material models, showing good agreement between model estimations and experimental results. © 2015 The Authors.

关键词： distributed parameter system Inverse problem Sensor model Viscoelastic response

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Zero dynamics for waves on networks 5

Zero dynamics for waves on networks

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5th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control

作者： Jacob, Birgit Morris, Kirsten Zwart, Hans Univ Wuppertal Dept Math Wuppertal Germany Univ Waterloo Dept Appl Math Waterloo ON N2L 3G1 Canada Univ Twente Dept Appl Math NL-7500 AE Enschede Netherlands

Consider a network with linear dynamics on the edges, and observation and control in the nodes. Assume that on the edges there is no damping, and so the dynamics Can he described by an infinite-dimensional, port-Hamiltonian system. For general infinite-dimensional systems, the zero dynamics can be difficult to characterize and are sometimes ill posed. However, for this class of systems the zero dynamics are shown to be well-defined. Using the underlying structure, simple characterizations and a constructive procedure can be obtained. (C) 2015, ILAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

关键词： Port-Hamiltonian system distributed parameter system boundary control zero dynamics networks coupled wave equations

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Dynamical Models of Axially Moving Rods with Tensile and Bending Stiffness 8

Dynamical Models of Axially Moving Rods with Tensile and Ben...

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8th Vienna International Conference on Mathematical Modelling

作者： Steinboeck, A. Bantngart, M. Stadler, G. Saxinger, M. Kugi, A. Vienna Univ Technol Automat & Control Inst Gusshausstr 27-29 A-1040 Vienna Austria Vienna Univ Technol Automat & Control Inst Christian Doppler Lab Model Based Control Steel I Gusshausstr 27-29 A-1040 Vienna Austria

Many rods exhibit a coupling effect between axial and transversal displacements. Additional forces may be caused by a superimposed axial motion of the rod. We explore how these effects can be mathematically modeled using a rod with two local degrees of freedom. The resulting geometrically nonlinear model can be reduced to a system with just one local degree of freedom, i.e., the transverse displacement. These models are compared to commonly used modeling strategies where the rod is given just one local degree of freedom right at the beginning. Results from a numerical example complement the theoretical findings. (C) 2015, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

关键词： Axially moving continua Mechanical system Dynamic analysis Hamilton's principle Mathematical models distributed parameter system Boundary-value problem Integro-differential equation Nonlinear system Model reduction

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Nonlinear drifting parameters tracking by means of factorized Zakai filter in boundary-controlled electrodeposition process

Nonlinear drifting parameters tracking by means of factorize...

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17th IFAC Symposium on system Identification (SYSID 2015)

作者： Tenno, R. Aalto Univ Sch Elect Engn POB 15600 Aalto Finland

The Zakai filtering is applied for tracking of nonlinear time-varying parameters on a physical model describing typical electrodeposition process that is fixed on the bulk solution boundary of diffusion layer and is observed-controlled on the electrode surface. The applied boundary control depends on the unknown drifting parameters in a severely nonlinear relationship. A computational algorithm is proposed for drifting parameters estimation based on the factorized Zakai filter. The consistency of estimates is analyzed in simulation on the diffusion type model developed for the copper electrodeposition process. (C) 2015, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

关键词： Nonlinear filtering time-varying system boundary control distributed parameter system

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Model-based control of enzyme yield in solid-state fermentation 7

Model-based control of enzyme yield in solid-state fermentat...

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7th World Congress on Particle Technology (WCPT)

作者： Bueck, A. Casciatori, F. P. Thomeo, J. C. Tsotsas, E. Otto Von Guericke Univ Thermal Proc Engn NaWiTec Magdeburg Germany Univ Estadual Paulista UNESP Dept Engn & Tecnol Alimentos Sao Jose Do Rio Preto SP Brazil

Solid-state fermentation is gaining increasing importance for the production of high-added value products, for instance enzymes, from agro-industrial by-products. The main difficulty in operating this process in packed-bed bioreactors is the development of temperature and moisture gradients along the reactor length which decrease the overall productivity. In this work a practically relevant feedback control scheme is developed that allows influencing and equalizing the moisture and temperature distributions along the packed-bed bioreactor during solid-state fermentation. This prevents locally critical process conditions which may necessitate the shutdown of the operation of the bioreactor. (C) 2015 The Authors. Published by Elsevier Ltd.

关键词： solid-state fermentation feedback control distributed parameter system heat and mass transfer drying

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Robust sampled-data control of a class of distributed parameter systems using mobile actuator-sensor networks 11

Robust sampled-data control of a class of distributed parame...

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11th World Congress on Intelligent Control and Automation

作者： Qian, Xueming Cui, Baotong Jiangnan Univ Sch Internet Things 1800 Lihu Rd Wuxi Jiangsu Peoples R China

ISBN: (纸本)9781479958252

This paper study the sampled-data control problem of a class of distributed parameter systems. A novel sampled-data control scheme is presented using mobile actuator-sensor networks. By utilizing a Lyapunov functional which depend on spatial parameter, a controller combine to decentralized static output feedback control scheme and the point measurement of the mobile sensor is designed to derive several sufficient criteria ensuring the distributed parameter systems to be globally asymptotically stable. The criteria are given in the form of linear operator inequalities and the velocity law of each mobile actuator/sensor. It is also shown that static sampled-data control of distributed parameter systems is just a special case of our main results. A numerical simulations illustrate the effectiveness of the proposed control scheme in enhancing system performance.

关键词： distributed parameter system Sampled-data control Mobile sensor Mobile actuator

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Application of reduced models for robust control and state estimation of a distributed parameter system

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JOURNAL OF PROCESS CONTROL 2009年第3期19卷 539-549页

作者： Ding, Limei Johansson, Andreas Gustafsson, Thomas Lulea Univ Technol Div Syst & Interact SE-97187 Lulea Sweden

This paper studies the application of reduced models of a distributed parameter system for robust process control and state estimation. We take the approach of integrating model reduction, parameter identification, and model uncertainty analysis, in purpose to find an appropriate trade-off between complexity and robust performance. The application example is the temperature system in a continuous paper pulp digester. Physical modeling of this process results in coupled linearized partial differential equations which are then reduced into low-order nominal process models using an orthogonal collocation approximation method. Two different approaches to obtaining it model uncertainty description are adapted for use on a distributed parameter system with low-order nominal model and shown to produce similar results when tested with measurement data. It is also demonstrated how this uncertainty description, in combination with the reduced model, may be used for robust control design and verification of the control performance on the distributed parameter system. Finally, the possibility of estimating the distributed process state using a state observer for the reduced process is demonstrated. Measurements of the process state in a certain position is available and is shown to agree with the estimated state at the same position. (C) 2008 Elsevier Ltd. All rights reserved.

关键词： distributed parameter system Reduced models Model uncertainty Paper pulp digester Robust control State estimation

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Model-based Control of Enzyme Yield in Solid-state Fermentation

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Procedia Engineering 2015年 102卷 362-371页

作者： A. Bück F.P. Casciatori J.C. Thoméo E. Tsotsas Thermal Process Engineering/NaWiTec Otto von Guericke University Magdeburg Germany Departamento de Engenharia e Tecnologia de Alimentos Universidade Estadual Paulista (UNESP) São José do Rio Preto-SP Brazil

关键词： solid-state fermentation feedback control distributed parameter system heat and mass transfer drying

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H ∞ Control of a Parallel-Flow Heat Exchange Process *

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IFAC-PapersOnLine 2015年第25期48卷 50-55页

作者： Hideki Sano Department of Applied Mathematics Graduate School of System Informatics Kobe University 1-1 Rokkodai Nada Kobe 657-8501 Japan

In this paper, we consider the H ∞ control problem of a coupled transport-diffusion system related to parallel-flow heat exchange process. It is shown that, by using our previous result for a single diffusion system, the H ∞ control problem can be solved by constructing a residual mode filter (RMF)-based controller which is of finite-dimension.

关键词： distributed parameter system H ∞ control residual mode filter semigroup

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Research on iterative algorithm of parameter identification for two order distributed parameter system

Research on iterative algorithm of parameter identification ...

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International Conference on Measuring Technology and Mechatronics Automation

作者： Liang Liequan Zhou Xuan S China Univ Technol Sch Mech & Automot Engn Guangzhou Guangdong Peoples R China

ISBN: (纸本)9780769535838

An iterative algorithm based on orthogonal function of parameter identification for distributed parameter system is proposed in this paper, which includes the initial condition and boundary condition to improve identification precision and keep the spatial distributed characteristic. During iterative process, a new uniform method based on block pulse function (BPF) is used to deriving the integral operational matrix, which is a kind of orthogonal function transfer used to transfer the two order partial differential equation to algebra equation. The parameter identification method is simple and easy to compute. The simulation result indicates that this method can meet the demand on real-time and precision of control system.

关键词： distributed parameter system orthogonal function transform on-line iterative algorithm of parameter identification integral operational matrix

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