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A GENERAL TRANSFER FUNCTION REPRESENTATION FOR A CLASS OF HYPERBOLIC distributed parameter systemS

INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE 2013年第2期23卷 291-307页

作者： Bartecki, Krzysztof Opole Univ Technol Inst Control & Comp Engn PL-45272 Opole Poland

Results of transfer function analysis for a class of distributed parameter systems described by dissipative hyperbolic partial differential equations defined on a one-dimensional spatial domain are presented. For the case of two boundary inputs, the closed-form expressions for the individual elements of the 2 x 2 transfer function matrix are derived both in the exponential and in the hyperbolic form, based on the decoupled canonical representation of the system. Some important properties of the transfer functions considered are pointed out based on the existing results of semigroup theory. The influence of the location of the boundary inputs on the transfer function representation is demonstrated. The pole-zero as well as frequency response analyses are also performed. The discussion is illustrated with a practical example of a shell and tube heat exchanger operating in parallel- and countercurrent-flow modes.

关键词： distributed parameter system hyperbolic system partial differential equation transfer function heat exchanger

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Modeling of Human Balance as an Inverted Pendulum

Modeling of Human Balance as an Inverted Pendulum

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15th International Carpathian Control Conference (ICCC)

作者： Kot, Andrzej Nawrocka, Agata AGH Univ Sci & Technol Dept Proc Control Fac Mech Engn & Robot Krakow Poland

ISBN: (纸本)9781479935284

From a biomechanical point of view, maintaining the balance is the human ability which is gained with the evolution of its body. In order to maintain a vertical posture nervous system all the time stimulates the musculoskeletal system to continuous motion. This movement is in a rocked slightly sagittal planes and frontal, reminds their behavior inverted pendulum. It should be noted that in the case of the classic inverted pendulum its upright position is held by changing position of the cart relative to the ground. In contrast, man is not moving relative to the ground maintains its position through changes in muscle tension.. Projection of the center of gravity is located on the ground in the contour of the human feet. It means that for some sets of assumptions human body can be modelled as inverted pendulum with the various kinds of its complexity. Article presents authors approach to modelling and simulation of human balance system.

关键词： modelling balance inverted pendulum lumped parameter system distributed parameter system

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A New Controller Structure for Robust Output Regulation 53

A New Controller Structure for Robust Output Regulation

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53rd IEEE Annual Conference on Decision and Control (CDC)

作者： Paunonen, Lassi Pohjolainen, Seppo Tampere Univ Technol POB 553 FIN-33101 Tampere Finland

ISBN: (纸本)9781467360906

In this paper we employ a new controller structure in solving the robust output regulation problem for a linear distributed parameter system with finite or infinite-dimensional exosystems. In the case of an infinite-dimensional exosystem we also present additional conditions for achieving polynomial or logarithmic nonuniform decay rates for the closed-loop semigroup.

关键词： Output tracking distributed parameter system robustness

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Two dimensional thermal model based observer design for lithium ion batteries

Two dimensional thermal model based observer design for lith...

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IEEE International Conference on systems, Man, and Cybernetics (SMC)

作者： Liu, Zhen Li, Han-Xiong City Univ Hong Kong Dept Syst Engn & Engn Management Hong Kong Hong Kong Peoples R China Cent S Univ State Key Lab High Performance Complex Mfg Changsha Hunan Peoples R China

ISBN: (纸本)9781479938407

The safety, life, and performance of lithium ion batteries are all related to its thermal performance. The battery thermal process is a typical distributed parameter system which is spatiotemporal distributed. The online estimation of temperature distribution in vehicle battery systems is not easy as only few surface temperatures can be measured for the distributed parameter process. In this paper, a state observer is designed for lithium ion battery thermal process described by two dimensional partial differential equations. Based on the physical model of battery thermal process, a reduced order operational model suitable for online application is first obtained through Karhunen-Loeve decomposition. An adaptive observer is then designed based on the reduced order model. The whole temperature filed can then be reconstructed with the designed observer and measured voltage, current, and few surface temperature dates. Numerical simulation demonstrates the effectiveness of the designed observer.

关键词： battery thermal management observer design distributed parameter system lithium-ion batteries

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Decentralized multi-exchange scheduling of sensor networks for parameter estimation of distributed systems 19

Decentralized multi-exchange scheduling of sensor networks f...

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19th International Conference on Methods and Models in Automation and Robotics (MMAR)

作者： Romanek, Adam Patan, Maciej Univ Zielona Gora Zielona Gora Poland

ISBN: (纸本)9781479950812

An efficient approach to determine an activation policy for scanning sensor network monitoring a distributed process over some spatial domain is proposed. Given a finite number of potential sensor the scheduling problem is defined so as to maximize a criterion defined on the Fisher information matrix associated with the estimated parameters. Then, applying an efficient continuous approximation of the the related combinatorial problem, the multi-exchange procedure adopting pairwise communication schemes is developed, which distributes the configuration process between the network nodes. Finally, the delineated approach is illustrated via simulations on a sensor network scheduling problem for a two-dimensional convective diffusion process.

关键词： combinatorial mathematics decentralised control distributed parameter systems distributed sensors parameter estimation scheduling sensor placement 2D convective diffusion process DPS Fisher information matrix activation policy combinatorial problem configuration process criterion maximization decentralized multiexchange scheduling delineated approach distributed parameter system distributed process distributed systems multiexchange procedure network nodes pairwise communication scheme scanning sensor network monitoring sensor network scheduling problem spatial domain Computer science distributed parameter systems Optimization parameter estimation Processor scheduling Schedules Time measurement distributed parameter systems parameter estimation distributed processing distributed systems combinatorial mathematics spatial domain decentralised control scheduling of multiprocessor time measurement distributed sensors sensor placement computer science digital power system information matrix Sensor networks

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Iterative Learning Control of Linear distributed parameter systems-Frequency Domain Design and Analysis

Iterative Learning Control of Linear Distributed Parameter S...

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13th International Conference on Control, Automation and systems (ICCAS)

作者： Huang, Deqing Li, Xuefang Xu, Jian-Xin Xu, Chao Natl Univ Singapore Dept Elect & Comp Engn Singapore 117576 Singapore Univ London Imperial Coll Sci Technol & Med Dept Aeronaut London SW7 2AZ England Zhejiang Univ Inst Cyber Syst & Control Hangzhou Zhejiang 310027 Peoples R China

ISBN: (纸本)9788993215052

This paper aims at iterative learning control (ILC) design and analysis for a class of linear distributed parameter systems (DPSs) that may be hyperbolic, parabolic, or elliptic, and include many important physical processes such as diffusion, vibration, heat conduction and wave propagation as special cases. Owing to the linear characteristic of systems, the system equations are first cast into a matrix form in the Laplace transform domain. Then, through determination of a fundamental matrix, the system transfer function is precisely evaluated in a closed form. The derived transfer function clearly demonstrates the input-output relationship of system, and thus facilitates the consequent ILC design and convergence analysis in the frequency domain. The proposed control design scheme is able to deal with parametric and non-parametric uncertainties and makes full use of the process repetition, while avoids any simplification or discretization for the 3D dynamics of distributed parameter systems in the time, space, and iteration domains. In the end, an illustrative example is presented to demonstrate the efficacy of the proposed ILC scheme.

关键词： Iterative learning control distributed parameter system Transfer function Boundary control Convergence

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Microvia Fill Process Boundary Control

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IFAC Proceedings Volumes 2014年第3期47卷 10439-10444页

作者： R. Tenno A. Pohjoranta Aalto University School of Electrical Engineering PO Box 15500 Aalto Finland VTT Technical Research Centre of Finland PO Box 1000 02014 VTT Finland

This paper presents an exponentially stabilizing boundary control for the microvia fill process. The control accounts for the mass balance of the copper ions in the electrolyte and for the surface mass balance of the deposition-blocking additives, both modeled with a diffusion mass transfer model in a shape changing domain. With simulations based on real-world data, it is shown that by applying the control, the microvia fill process can be speeded up (in the example case by ca. 15%) without endangering product output quality.

关键词： electrodeposition control distributed parameter system boundary control

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Control of Strip Tension in a Rolling Mill Based on Loopers and Impedance Control

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IFAC Proceedings Volumes 2014年第3期47卷 10646-10651页

作者： A. Steinboeck G. Mühlberger A. Kugi Automation and Control Institute Vienna University of Technology Gußhausstraße 27-29 1040 Vienna Austria

A mathematical model of a strip-looper system of a hot strip tandem rolling mill is developed using Hamilton's principle and the Galerkin weighted residual method. Several nonlinearities are considered and the effects of bending and dynamic forces on the accuracy of the model are studied. Based on the model, an estimator for the strip tension is proposed. Finally, an impedance controller for the strip tension and the looper position is designed. It can be used in the whole operating range of the system, which is also demonstrated in a simulation scenario.

关键词： Nonlinear systems Impedance control distributed parameter system Hamilton's principle Steel industry Tandem rolling mill Looper control Strip tension control

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Robust stabilization of the distributed parameter system with time delay via fuzzy control

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IEEE TRANSACTIONS ON FUZZY systemS 2008年第3期16卷 567-584页

作者： Yuan, Kun Li, Han-Xiong Cao, Jinde Southeast Univ Dept Math Nanjing 210096 Peoples R China Southeast Univ Sch Automat Nanjing 210096 Peoples R China City Univ Hong Kong Dept Mfg Engn & Engn Management Hong Kong Hong Kong Peoples R China

In this paper, stabilization of the distributed parameter system (DPS) with time delay is studied using Galerkin's method and fuzzy control. With the help of Galerkin's method, the dynamics of DPS with time delay can be first converted into a group of low-order functional ordinary differential equations, which will be used for design of the robust fuzzy controller. The fuzzy controller designed can guarantee exponential stability of the closed-loop DPS. Some sufficient conditions are derived for the stabilization together with the linear matrix inequality design approach. The effectiveness of the proposed control design methodology is demonstrated in numerical simulations.

关键词： distributed parameter system exponential stability fuzzy control Galerkin's method linear matrix inequality

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Stabilization and regulator design for a one-dimensional unstable wave equation with input harmonic disturbance

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INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL 2013年第5期23卷 514-533页

作者： Guo, Wei Guo, Bao-Zhu Univ Int Business & Econ Sch Informat Technol andManagement Beijing 100029 Peoples R China Acad Sinica Acad Math & Syst Sci Beijing 100190 Peoples R China Univ Witwatersrand Sch Computat & Appl Math ZA-2050 Wits Johannesburg South Africa Shanxi Univ Sch Math Sci Taiyuan 030006 Peoples R China

This paper considers the parameter estimation and stabilization of a one-dimensional wave equation with instability suffered at one end and uncertainty of harmonic disturbance at the controlled end. The backstepping method for infinite-dimensional system is adopted in the design of the adaptive regulator. It is shown that the resulting closed-loop system is asymptotically stable. Meanwhile, the estimated parameter is shown to be convergent to the unknown parameter as time goes to infinity. Copyright (c) 2011 John Wiley & Sons, Ltd.

关键词： distributed parameter system disturbance rejection stability backstepping method

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