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Sensor location optimal strategy of distributed parameter systems based wavelet algorithm

Huadong Ligong Daxue Xuebao /Journal of East China University of Science and Technology 2008年第4期34卷 594-597页

作者： Gao, Gui-Ge Gu, Xing-Sheng Institute of Automation East China University of Science and Technology Shanghai 200237 China

Most engineering practical systems are distributed parameter systems. Sensor location optimal strategy is distinctive to distributed parameter systems, which has a significant effect on the precision of parameter identification. The optimal sensor location is one of the pivotal problems to achieve optimal control of distributed parameter systems. Sensor optimal locations not only relate with boundary con ditions, but also relate with many factors such as inputs, system noise, measure noise and process dynamic characteristic. Moreover, these factors have different effect on the optimal sensor location. The states of distributed parameter systems have infinite freedoms in space, but measurements are usually put only on limited points in distributed spaces, and the observed values are polluted by the noise. So it is significant to choose sensor optimal locations for distributed parameter systems. Based on orthogonal function approximation theory, a kind of optimal algorithm was put forward via wavelets transform and their operational matrixes in this paper. The simulation result shows the efficiency of the proposed method, which is significant for the choice of optimal sensor location in the distributed parameter systems.

关键词： distributed parameter systems Optimal strategy Sensor location Wavelet algorithm

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On the Accessibility of distributed parameter systems

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IFAC Proceedings Volumes 2008年第2期41卷 7743-7748页

作者： Karl Rieger Kurt Schlacher Markus Schöberl Institute of Automatic Control and Control Systems Technology Johannes Kepler University Linz 4040 Linz Austria (Tel: +43 732 2468 9735

This contribution is devoted to the accessibility analysis of distributed parameter systems. A formal system theoretical approach is proposed by means of differential geometry, which allows an intrinsic representation for the class of infinite dimensional systems. Beginning with the introduction of a convenient representation form, in particular, the accessibility along a trajectory is discussed generally. In addition, the derivation of (local) (non-)accessibility criteria via utilizing transformation groups is shown. In order to illustrate the developed theory the proposed method is applied to an example.

关键词： distributed parameter systems nonlinear systems differential geometry accessibility system analysis

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Delay-Dependent Exponential Stability of Linear distributed parameter systems

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IFAC Proceedings Volumes 2008年第2期41卷 2601-2606页

作者： Emilia Fridman Yury Orlov School of Electrical Engineering Tel Aviv University Tel Aviv 69978 Israel CICESE Research Center Km.107 Carretera Tijuana-Ensenada Ensenada B.C. 22 860 Mexico

Exponential stability analysis via Lyapunov-Krasovskii method is extended to linear time-delay systems in a Hilbert space. The operator acting on the delayed state is supposed to be bounded. The system delay is admitted to be unknown and time-varying with an a priori given upper bound on the delay. Sufficient delay-dependent conditions for exponential stability are derived in the form of Linear Operator Inequalities (LOIs), where the decision variables are operators in the Hilbert space. Being applied to a heat equation and to a wave equation, these conditions are represented in terms of standard Linear Matrix Inequalities (LMIs). The proposed method is expected to provide effective tools for robust control of distributed parameter systems with time-delay.

关键词： distributed parameter systems time-varying delay stability Lyapunov method LMI

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Neural Network-Based PCA: An Application to Approximation of a distributed parameter System

Neural Network-Based PCA: An Application to Approximation of...

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11th International Conference on Artificial Intelligence and Soft Computing (ICAISC)

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

ISBN: (纸本)9783642293467

In this article, an approximation of the spatiotemporal response of a distributed parameter system (DPS) with the use of the neural network-based principal component analysis (PCA) is considered. The presented approach is carried out using two different neural structures: single-layer network with unsupervised, generalized Hebbian learning (GHA-PCA) and two-layer feedforward network with supervised learning (FF-PCA). In each case considered, the effect of the number of units in the network projection layer on the mean square approximation error (MSAE) and on the data compression ratio is analysed.

关键词： principal component analysis neural networks distributed parameter systems

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Controller Implementation for a Class of Spatially-Varying distributed parameter systems

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IFAC Proceedings Volumes 2008年第2期41卷 7755-7760页

作者： Utku Ozan Candoğan Hitay Özbay Haldun M. Ozaktas Dept. of Electrical Eng. & Computer Sci. Massachusetts Institute of Technology Cambridge MA 02139 USA Dept. of Electrical Eng. Bilkent University TR-06800 Ankara Turkey

In this paper we discuss fast implementation of the model based centralized controllers using fractional Fourier transform for large scale plant models coming from spatial discretization of a certain type of linear spatially-varying distributed parameter systems. This fast implementation reduces the computational time delay significantly when the dimension of the system is higher than 512 = 2 9 . Compared to direct implementation, the proposed method allows faster sampling. If the control design objectives are demanding fast closed loop modes, then slower sampling required by direct implementation leads to instability. The results are illustrated by an example.

关键词： distributed parameter systems Fractional Fourier Transform Spatially-Varying systems Control Implementation Time Delay

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RATIONAL APPROXIMATION AND IDENTIFICATION OF distributed parameter systems

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IFAC Proceedings Volumes 2008年第2期41卷 6452-6457页

作者： V. Gubarev O. Zhukov Space Research Institute of NASU and NSAU 40 Acad Glushkov prsp. Kiev 03680 MSP Ukraine

The unified infinite dimensional model structure which assumes on its base to develop the method and algorithms of systems rational approximation and identification is proposed for distributed parameter systems with discrete inputs and outputs. The considered truncated realization converges to infinite-dimensional non-rational model of system for nuclear type operators. Approximation is represented by series expansion on independent basis functions which are fundamental solutions of ordinary differential equations. The using of Jordan realization have succeeded in creation of iterative identification algorithm admitting sequential model reconstruction by separate parts consisting of one or several modes.

关键词： distributed parameter systems modeling approximation iterative identification Jordan realization uncertainty Green function

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Integrated modeling for intelligent battery thermal management

Integrated modeling for intelligent battery thermal manageme...

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IEEE International Conference on systems, Man, and Cybernetics

作者： Zhen Liu Han-Xiong Li Department of Systems Engineering and Engineering Management City University of Hong Kong Hong Kong State Key Laboratory of High Performance Complex Manufacturing Central South University Changsha Hunan China Department of Systems Engineering and Engineering Management City University of Hong Kong Hong Kong

ISBN: (纸本)9781479906505

Effective thermal management is crucial to the optimal operation of lithium ion batteries and its health management. However, the thermal behaviors of batteries are governed by complex chemical process whose parameters will degrade over time and different environment. Furthermore, limited sensors exist for measurement of the spatiotemporal thermal process. In this paper, an intelligent model for online estimation of the temperature distribution in lithium ion battery systems is proposed. Due to the difficulty and high cost to identify the online operational model directly from practical experiment measurement, an integrated approach is developed to derive the approximate analytical model through hierarchical modeling from experiment, simulation, and intelligent learning. The proposed model could be easily added to the existing battery management system.

关键词： integrated modeling distributed parameter system battery thermal management intelligent learning Intelligent learning Thermal management distributed parameter systems Batteries lithium ion battery Battery management systems Modeling Chemical processes Temperature distribution Optimal operation health care management

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On the hyperbolic observer canonical form

On the hyperbolic observer canonical form

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nDS '13;Proceedings of the 8th International Workshop on Multidimensional systems

作者： Frank Woittennek Institute of Control Theory Faculty of Electrical and Computer Engineering Technische Universitat Dresden 01062 Dresden Germany

Observer design for a class of distributed parameter systems based on the so called hyperbolic observer canonical form (o.c.f.) is considered. The method relies on the tight relation between hyperbolic d.p.s. and functional differential equations (f.d.e.). Based on an input-output description given in form of a f.d.e. and a parametrization of the original "physical" coordinates by the system's input and output trajectories, the transformation to the o.c.f. is calculated using another set of coordinates. These coordinates are associated with the hyperbolic observability form and correspond to the restriction of the output trajectory to a certain interval. The proposed method is illustrated on the basis of the one-dimensional wave equation with dynamic boundary conditions.

关键词： Hyperbolic Canonical form Coordinates distributed parameter systems INPUT-OUTPUT Wave equation parameterization trajectory

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Consensus of spatially distributed filters using mobile sensor networks with limited connectivity

Consensus of spatially distributed filters using mobile sens...

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American Control Conference

作者： Michael A. Demetriou Worcester Polytechnic Institute Dept of Mechanical Engineering Worcester MA 01609 USA

ISBN: (纸本)9781479901777

The estimation of spatially distributed processes by group of spatially distributed filters utilizing mobile sensors is considered in this work. It is assumed that the sensor network has limited connectivity and a guidance scheme for the mobile sensors is proposed that takes into account the vehicle dynamics. The motion of the mobile sensors is explicitly expressed in terms of the performance of the distributed filters. An added modification into the filter design allows for consensus by penalizing the disagreement of the state estimates in a dynamic manner. Stability bounds are obtained and extensive simulations studies of a representative spatially distributed process are included to provide insights on the effects of moving sensors used in consensus filters.

关键词： distributed parameter systems consensus filters mobile sensor network

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Computation of empirical eigenfunctions of parabolic PDEs with non-trivial time-varying domain

Computation of empirical eigenfunctions of parabolic PDEs wi...

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European Control Conference (ECC)

作者： Mojtaba Izadi Stevan Dubljevic Department of Chemical and Materials Engineering University of Alberta Edmonton AB Canada

In this article, a methodology to compute the empirical eigenfunctions for the order-reduction of parabolic partial differential equation (PDE) systems with time-varying domain is explored. In this method, a mapping functional is obtained, which relates the time-evolution of the solution of parabolic PDE with the time-varying domain to a fixed reference domain, while preserving space invariant properties of the raw solution ensemble. Subsequently, the Karhunen-Lòeve decomposition is applied to the solution ensemble with fixed spatial domain resulting in a set of optimal eigenfunctions that capture the most energy of data. Further, the low dimensional set of empirical eigenfunctions is mapped (“pushed-back”) on the original time-varying domain by an appropriate mapping resulting in the basis for the construction of the reduced-order model of the parabolic PDE system with time-varying domain. Finally, this methodology is used for the order-reduction of the Czochralski crystal growth process model which is a two dimensional parabolic PDE system on a time-varying domain with non-trivial geometry. The transformations which relate the raw data on the time-varying and time-invariant domains are designed to preserve dynamic features of the scalar physical property and comparisons among reduced and high order fidelity models are provided.

关键词： Eigenvalues and eigenfunctions Time-varying systems Mathematical model distributed parameter systems Geometry Reduced order systems Crystals

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