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检索条件"主题词=distributed parameter systems"

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Iterative learning control of deflections in vibrating beam 24

Iterative learning control of deflections in vibrating beam

引用

24th International Conference on Methods and Models in Automation and Robotics (MMAR)

作者： Klimkowicz, Kamil Maniarski, Robert Patan, Maciej Univ Zielona Gora Inst Control & Computat Engn Zielona Gora Poland

ISBN: (纸本)9781728109336

The paper discuss an effective approach to iterative learning control synthesis for a class of distributed parameter systems described by partial differential equations with biharmonic operator. The study is carried out based on the example of transverse displacements in a cantilever beam induced by the external loads. The sufficient conditions for the convergence of the proposed iterative control law are formulated. Also, the resulting control learning scheme supported by effective implementation based on the finite element method was investigated subject to the different configurations of actuator/sensor field.

关键词： iterative learning control distributed parameter systems optimal control

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Hybrid domain decomposition filters for parabolic spatially distributed processes

Hybrid domain decomposition filters for parabolic spatially ...

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American Control Conference (ACC)

作者： Demetriou, Michael A. Hu, Weiwei Worcester Polytech Inst Dept Mech Engn Worcester MA 01609 USA Oklahoma State Univ Dept Math Stillwater OK 74078 USA

ISBN: (纸本)9781538679265

This paper proposes a domain decomposition scheme as a means for low order modeling of estimators for systems governed by partial differential equations. This entails the decomposition of the state estimator defined over the entire spatial domain into two separate estimators defined over two non-overlapping subdomains and coupled through the transmission conditions at their boundary. Each estimator is a copy of the original process defined over its subdomain and having an output injection term which is weighted by a filter kernel. Each of the filter kernels is related to the filter kernel of the estimator of the process defined over the entire spatial domain. The sensor providing process information is in the interior of the inner subdomain. Using a hybrid version of the domain decomposition method wherein the kernel of the outer domain is nullified, a significant computational savings can be obtained and is viewed as an alternate for low order approximation of estimators for PDEs. This decoupling facilitates a multi-grid implementation whereby the inner subdomain uses a refined grid as a means of increasing spatial resolution and the outer subdomain where the value of information is minimal, uses a coarse grid. The well-posedness of the proposed hybrid domain decomposition estimator is established and numerical studies of an advection-diffusion PDE over a rectangular domain are presented to provide an appreciation of the domain decomposition methods as a means of low order modeling of estimators for PDEs.

关键词： distributed parameter systems domain decomposition state estimators sensor optimization

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Event-triggered damping of a linear wave equation 3

Event-triggered damping of a linear wave equation

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3rd International-Federation-of-Automatic-Control (IFAC) Workshop on Control of systems Governed by Partial Differential Equations (CPDE)

作者： Baudouin, Lucie Marx, Swann Tarbouriech, Sophie Univ Toulouse LAAS CNRS CNRS Toulouse France

The paper addresses the design of an event-triggering mechanism for a partial differential wave equation posed in a bounded domain. The wave equation is supposed to be controlled through a classical damping term: the first order time derivative of the solution, distributed in the whole domain. In a continuous framework, such a feedback leads to the global exponential stability of the closed-loop system. Here, sufficient conditions based on the use of a suitable Lyapunov functional are proposed to guarantee that an event-triggered distributed damping ensures the exponential stability. Moreover, the designed event-triggering mechanism allows avoiding the Zeno behavior. The 'existence and regularity' prerequisite properties of solutions for the closed loop system are also proven. (C) 2019, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

关键词： distributed parameter systems event-triggered control Lyapunov functionals

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Lyapunov-based online parameter estimation in continuous fluidized bed spray agglomeration processes 12

Lyapunov-based online parameter estimation in continuous flu...

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12th International-Federation-of-Automatic-Control (IFAC) Symposium on Dynamics and Control of Process systems including Biosystems (DYCOPS)

作者： Golovin, Ievgen Otto, Eric Duerr, Robert Palis, Stefan Kienle, Achim Otto von Guericke Univ D-39106 Magdeburg Germany Max Planck Inst Dynam Complex Tech Syst D-39106 Magdeburg Germany Natl Res Univ Moscow Power Engn Inst Moscow Russia

Fluidized bed spray agglomeration is a particle formation process in many industrial applications, e.g. pharmaceutical and food processing. The properties of the formed agglomerates, like characteristic volume, significantly affect the product quality and can be affected by variation of certain operating parameters. Mathematical modeling not only provides an abstract characterization of the effects of those on the product properties but also supports thorough understanding of the underlying physical and chemical mechanisms. Moreover, it enables application of advanced process analysis, control and intensification schemes. As characteristic properties underlie variations within the ensemble of agglomerates the process can be described as a distributed parameter system, where the resulting model equations are partial differential equations. Adaption to experimental data requires the solution of inverse problems, which tend to be ill-conditioned. As an alternative approach, in this contribution an adaptive identification procedure is presented. Therefore, a modified plant model is run in parallel to the process and adaption rates are chosen based on a Lyapunov-function. The approach is validated in a parametric study for two scenarios: In the first, it is assumed that the structure of the dynamics is fully known, while in the second, this assumption does not hold. It is shown that the proposed approach allows to reconstruct unknown kinetic information of the process dynamics. (C) 2019, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

关键词： Adaptive identification distributed parameter systems population balance equations partial differential equations

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TRACKING PERFORMANCE IMPROVEMENT OF REPETITIVE CONTROLLER FOR NANO-MANIPULATING systems WITH TIME DELAYS

TRACKING PERFORMANCE IMPROVEMENT OF REPETITIVE CONTROLLER FO...

引用

American-Society-of-Mechanical-Engineers(ASME) International Design Engineering Technical Conferences / 39th American-Society-of-Mechanical-Engineers(ASME) Computers and Information in Engineering Conference (IDETC-CIE)

作者： Liu, Pengbo Yan, Peng Qilu Univ Technol Sch Mech & Automot Engn Jinan 250353 Shandong Peoples R China Shandong Univ Sch Mech Engn Minist Educ Key Lab High Efficiency & Clean Mech Manufacture Jinan 250061 Shandong Peoples R China

ISBN: (纸本)9780791859292

This paper investigates the robust repetitive controller design with improved tracking performance for nano-manipulating systems with time delay. In order to handle the time delay caused by the analog-to-digital (A/D) conversion of the capacitive sensors with ultra high precision, we modify the conventional repetitive control structure where the design of low pass filter is formulated as an H... optimization problem. For the purpose of tracking performance improvement, we further modify the structure of the low pass filter by shaping the sensitivity functions of the closed-loop system. With consideration of the existing of model uncertainties, the design of the modified low pass filter is also formulated as an H.. optimization of infinite dimensional systems. The effectiveness of the proposed repetitive control architecture is further verified by real time experiments on a piezo driven nano-stage, where significant tracking performance improvements are demonstrated comparing with the traditional repetitive controller

关键词： Control equipment Delays Low-pass filters Design Optimization Closed loop systems distributed parameter systems Uncertainty Sensors

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Flatness-Based Feed-Forward Control Design for Solenoid Actuators Considering Eddy Currents 8

Flatness-Based Feed-Forward Control Design for Solenoid Actu...

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8th International-Federation-of-Automatic-Control (IFAC) Symposium on Mechatronic systems (MECHATRONICS) / 11th International-Federation-of-Automatic-Control (IFAC) Symposium on Nonlinear Control systems (NOLCOS)

作者： Braun, Tristan Reuter, Johannes Rudolph, Joachim ZF Friedrichshafen AG Corp Res & Dev D-88038 Friedrichshafen Germany Konstanz Univ Appl Sci Inst Syst Dynam D-78462 Constance Germany Saarland Univ Chair Syst Theory & Control Engn Campus A5 1 D-66123 Saarbrucken Germany

Flatness-based feed-forward control of solenoid actuators is considered. For precise motion planning and accurate steering of conventional solenoids, eddy currents cannot be neglected. The system of ordinary differential equations including eddy currents, that describes the nonlinear dynamics of such actuators, is not differentially flat. Thus, a distributed parameter approach based on a diffusion equation is considered, that enables the parametrization of the eddy current by the armature position and its time derivatives. In order to design the feed-forward control, the distributed parameter model of the eddy current subsystem is combined with a typical nonlinear lumped parameter model for the electrical and mechanical subsystems of the solenoid. The control design and its application are illustrated by numerical and practical results for an industrial solenoid actuator. (C) 2019, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

关键词： differential flatness feed-forward control motion planning distributed parameter systems diffusion equation eddy currents solenoid valves

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Constrained Controllability of Linear systems 24

Constrained Controllability of Linear Systems

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24th International Conference on Methods and Models in Automation and Robotics (MMAR)

作者： Klamka, Jerzy Silesian Tech Univ Dept Control Engn Gliwice Poland

ISBN: (纸本)9781728109336

In the paper constrained controllability of distributed parameter dynamical system defined in infinite-dimensional domain is considered. Using spectral theory of unbounded differential operators, necessary and sufficient conditions constrained controllability are formulated and proved. Remarks and comments on the relationships between different kinds of controllability are also given. Simple illustrative numerical examples of controllable systems are presented.

关键词： distributed parameter systems linear systems controllability linear operators spectral theory of linear operators

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A comparison of two approaches to the control of a system with distributed parameters 22

A comparison of two approaches to the control of a system wi...

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22nd International Conference on Process Control (PC19)

作者： Rehak, Branislav Augusta, Petr Czech Acad Sci Inst Informat Theory & Automat Prague Czech Republic

The purpose of this paper is to compare two methods for stabilisation of a spatially uses the algebraic control theory. As an example, a stabilising controller of a heat conduction in a rod is constructed using both t... 详细信息

ISBN: (纸本)9781728137582

关键词： distributed parameter systems heat conduction stabilisation polynomial methods large-scale systems robust control

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Towards a Model-Based Experimental Design of the Maturation Process of Biohybrid Heart Valves 8th

Towards a Model-Based Experimental Design of the Maturation ...

引用

8th Conference on Foundations of systems Biology in Engineering (FOBSE)

作者： Voss, Kirsten Pyta, Lorenz Gesenhues, Jonas Mela, Petra Schmitz-Rode, Thomas Abel, Dirk Rhein Westfal TH Aachen Inst Automat Control Aachen Germany Rhein Westfal TH Aachen Inst Appl Med Engn Aachen Germany

Model-based experimental designs minimize the experimental effort while maximizing the amount of analyzable experimental data. In this paper, an initial mathematical model of the spatially distributed maturation process of tissue engineered heart valves is developed for a model-based experimental design. The model contains the state variables cell amount, collagen concentration and elastin concentration. Based on the developed model, a variance-based sensitivity analysis using Sobol's method is performed. The results indicate that all model parameters influence the model solution, while the variance of the parameters related to cell diffusion comprises an exceeding influence. Consequently, corresponding experiments should especially focus on those parameters. (C) 2019, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

关键词： distributed parameter systems Tissue engineering Numerical analysis Mathematical models Model-based experimental design Sensitivity analysis

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Slow gas flow passing a solid is a convection/diffusion equation 12

Slow gas flow passing a solid is a convection/diffusion equa...

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12th International-Federation-of-Automatic-Control (IFAC) Symposium on Dynamics and Control of Process systems including Biosystems (DYCOPS)

作者： Bresch-Pietri, Delphine Petit, Nicolas PSL Res Univ CAS MINES Paris Tech 60 Bd St Michel F-75006 Paris France

This paper exposes a formal result showing that a set of two coupled hyperbolic equations governing the thermal exchanges between a gas passing by a solid is actually close, in a detailed mathematical sense, to a single convection/diffusion equation. Exhaust gas passing by a solid catalyst is a typical example of such a situation. This result, the key derivation steps of which are given here, bridges the gap between the two formulations, which have received distinct types of contributions by the control community in the recent years. (C) 2019, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

关键词： distributed parameter systems reduction method convection and diffusion thermal exchanges

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