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Simulation of a class of delay stochastic system with distributed parameter

Journal of Systems Engineering and Electronics 2005年第4期16卷 843-846页

作者： Song Yanan Deng Feiqi Luo Qi Coll. of Automation Science and Engineering South China Univ. of Technology Guangzhou 510640 P. R. China

Simulation of a class of delay stochastic system with distributed parameter is discussed. Difference schemes for the numerical computation of delay stochastic system are obtained. The precision of the difference scheme and the efficiency of the difference scheme in simulation of delay stochastic system with distributed parameter are analyzed. Examples are given to illustrate the application of the method.

关键词： simulation distributed parameter delay stochastic system.

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SLIDING MODE CONTROL OF A CLASS OF ITO TYPE distributed parameter SYSTEMS WITH DELAY

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Acta Mathematica Scientia 2007年第1期27卷 67-76页

作者：罗琦邓飞其包俊东赵碧荣 Department of Information and Control Nanjing University of Information Science and Technology College of Automation Science and Engineering South China University of Technology College of Mathematic Science Inner Mongolia Normal University Department of Mathematics Guangzhou University

Sliding mode control problem of a class of Ito^ type partial differential equations with delay is probed. The variable structure controller is designed. The existence of motion of sliding mode is shown. And the character of invariance of sliding control system about uncertainty on the sliding switching surface and stability are analyzed.

关键词： Uncertainty randomness distributed parameter variable structure control

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Experimental validation of a distributed parameter piezoelectric bimorph cantilever energy harvester

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SMART MATERIALS AND STRUCTURES 2010年第9期19卷 094008-1-094008-15页

作者： Rafique, S. Bonello, P. Univ Manchester Sch Mech Aerosp & Civil Engn Manchester M13 9PL Lancs England

Recent rapid advances in low-power portable electronic applications have motivated researchers and industry to explore schemes to embed an endless power supply mechanism within these systems. These self-charging embedded power supply systems convert ambient energy (vibration, solar, wind, etc) into electrical energy and subsequently provide power to these portable applications. Ambient vibration is one of the most promising sources of energy as it is abundantly present in indoor/outdoor systems. This paper discusses briefly the mathematical model of a bimorph piezoelectric cantilever beam with distributed inertia, and its experimental validation. Research on such a component typically included a tip mass, which reduced the influence of the distributed inertia of the beam and restricted effective operation to low frequencies. The present work excludes the tip mass and only the distributed mass of the harvester is considered. Due to the coupled electromechanical nature of piezoelectric materials, the effects of electrical coupling on the mechanical properties of the harvester are investigated, particularly the dependence of the induced additional stiffness and damping on the electrical load. Both the model and the experimental results show that the resonance frequency and the response amplitude of the harvester exhibit considerable shifts due to the electrical coupling. The experimental work uses both magnitude and Nyquist plots of the electromechanical frequency response functions to thoroughly validate the accuracy and applicability of the distributed parameter model at higher frequencies than previously considered.

关键词： Power supply systems Electric loads harvesters bimorph Response Amplitude resonant frequencies Energy sources distributed parameter

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Feedback control in distributed parameter gyroscopic systems: A solution of the partial eigenvalue assignment problem

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MECHANICAL SYSTEMS AND SIGNAL PROCESSING 2002年第1期16卷 3-17页

作者： Datta, BN Sarkissian, DR No Illinois Univ Dept Math Sci De Kalb IL 60115 USA Mississippi State Univ Dept Math & Stat Mississippi State MS 39762 USA

This paper presents a novel solution to the partial eigenvalue assignment problem of an undamped gyroscopic distributed parameter system. The partial eigenvalue assignment problem is the problem of reassigning by feedback a few undesired eigenvalues of the open-loop operator pencil while leaving the remaining infinite number of eigenvalues unchanged. The distinctive practical features of our solution are (i) it requires the solution of only a small finite-dimensional linear algebraic system and knowledge of only a small finite number of eigenvalues and eigenvectors of the infinite-dimensional open-loop operator pencil. (ii) no spill-over occurs, that is, the remaining infinite number of eigenvalues and eigenvectors that are required to remain invariant will remain in their places and (iii) it is obtained completely in a distributed parameter setting and no discretisation to second-order system of differential equations is invoked so that vital inherent properties of the original system are fully preserved. Because of the above-mentioned practical features, the proposed solution is readily applicable to stabilise or to combat the effects of excessive vibrations in a large structure. (C) 2002 Elsevier Science Ltd.

关键词： channel assignment problem Gyroscopic systems eigenvalues/eigenvectors eigenvalues pencil feedback control distributed parameter Partial second order system

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Time domain analysis of the fractional order weighted distributed parameter Maxwell model

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COMPUTERS & MATHEMATICS WITH APPLICATIONS 2013年第5期66卷 813-823页

作者： Cao, Lili Li, Yan Tian, Guohui Liu, Baodong Chen, YangQuan Shandong Univ Sch Math Jinan 250061 Shandong Peoples R China Shandong Univ Sch Control Sci & Engn Jinan 250061 Shandong Peoples R China Shandong Univ Software Coll Jinan 250061 Shandong Peoples R China Univ Calif Merced Sch Engn Merced CA 95343 USA

In this paper, we derive in time domain the fundamental solution and relevant properties of the fractional order weighted distributed parameter Maxwell model (FOWDPMM). The weight function is replaced by the truncated Fourier series, which is leading to three basic fractional order distributed parameter elements. The inverse Laplace transforms of the distributed parameter operators are derived by cutting the complex plane and computing the complex path integral along the Hankel path. The asymptotic property and boundary problem are discussed by using the inverse Laplace transform, the energy of the weight function and the band width of the Fourier series. The relaxation modulus of FOWDPMM is solved as well, which is closely related to some other viscoelastic phenomena as creep, precondition and hysteresis. A number of novel characteristics of FOWDPMM such as power-law decay and intermediate phenomenon are concluded as well. Several illustrated examples are provided to validate the concepts. (C) 2012 Elsevier Ltd. All rights reserved.

关键词： distributed parameter Constitutive equation Asymptotic property Maxwell model Fractional calculus

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Modeling, Simulation and Control of a Nonlinear distributed parameter Isotope Separation Process

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IFAC-PapersOnLine 2015年第30期48卷 191-196页

作者： Murean, Vlad Abrudean, Mihail Moga, Daniel Technical University of Cluj-Napoca Cluj-Napoca CO400114 Romania

In this paper, an original solution of modeling and control of a distributed parameter13C isotope separation process is presented. The mentioned technological process takes place into a separation column, whose work ensures the13C enrichment through carbon dioxide-carbamate chemical exchange. A main difficulty in the modeling-control problem approach is the fact that, besides that the process is a distributed parameter one, it presents strong nonlinearities in relation to both independent variables (the time and the position in the column height). For the tuning of the13C isotope concentration controller, the relay method is used. Also, the initially obtained controller structure is modified in order to ensure the same set of performances at the variation of the second independent variable (the position in the column height). In this context, the13C isotope concentration value is controlled using an adaptive algorithm. In the paper, some interesting simulations are presented which prove the main advantages of using a control structure with an adaptive controller: the possibility to control the13C isotope concentration in any point from the column height; the possibility to reject the effect of the two types of disturbances which can occur in the process work; the possibility to satisfy a certain restrictive performance set; the possibility to adapt the controller parameters in order to obtain the same set of performances in any transversal section of the column. © 2015, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

关键词： Controllers Adaptive algorithms Adaptive control systems Carbon dioxide Control nonlinearities Isotopes Separation Adaptive controllers Chemical exchange distributed parameter ethanolamine Relay method Separation column

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A Finite-Memory Discretization Algorithm for the distributed parameter Maxwell-Slip Model

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IEEE-ASME TRANSACTIONS ON MECHATRONICS 2020年第2期25卷 1138-1142页

作者： Liu, Yanfang Xie, Shaobiao Du, Desong Qi, Naiming Harbin Inst Technol Dept Aerosp Engn Harbin 150001 Peoples R China Shanghai Acad Spaceflight Technol Shanghai 201109 Peoples R China

Modeling and compensating for hysteresis are widely adopted to eliminate hysteresis. The distributed parameter Maxwell-slip (DPMS) model is developed from the Maxwell-slip model by replacing the spring-slider elements with an elastic-sliding cell with distributed parameters. Motivated by the mechanism of human memory, this article proposes a finite-memory (FM) discretization approach for the DPMS model. The change in the infinite internal state is represented by updating the finite peak points. The FM approach is verified using a piezoelectric actuator, and the normalized mean square error is 0.27%. Thus, the FM approach is also advantageous for managing small-amplitude excitations.

关键词： Magnetic hysteresis Frequency modulation Predictive models IEEE transactions Mechatronics Mathematical model Actuators distributed parameter finite memory (FM) hysteresis modeling and identification piezoelectric actuator (PEA)

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Calculation of the Coefficient of Variation of Log-Normally distributed parameter Values

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CLINICAL PHARMACOKINETICS 2019年第9期58卷 1101-1102页

作者： Proost, Johannes H. Univ Groningen Groningen Res Inst Pharm Dept Pharmacokinet Toxicol & Targeting Groningen Netherlands Univ Groningen Univ Med Ctr Groningen Dept Anesthesiol Groningen Netherlands

The mean, standard deviation, and coefficient of variation in the normal domain are 'inflated' by the contribution of high values in the upper tail of the distribution, and this effect increases with increasing a. This is reflected in higher values of CV calculated using Eq. 1. [...]it may be questioned whether the CV according to Eq. 1 is a useful and meaningful measure of variability if the underlying values are log-normally distributed. [...]the CV according to Eq. 2 is the appropriate measure of variability if the distribution is assumed to be log-normal. [...]it should be stressed that the method for calculation of CV should be explicitly described in reports and articles.

关键词： Variation COEFFICIENT OF VARIATION distributed parameter Coefficients

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OPTIMAL-CONTROL OF distributed parameter REACTOR CORE BY FUNCTION SPACE METHOD AND SOME NUMERICAL EXPERIENCES

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JOURNAL OF NUCLEAR SCIENCE AND TECHNOLOGY 1976年第12期13卷 691-700页

作者： KOGA, R KYOTO UNIV INST ATOM ENERGY UJI KYOTO JAPAN

An optimal dynamicai control of a linear reactor as a distributed parameter system is abtained numerically along with an anaiytical expression of the integral equation that should be satisfied by the optimal control. The function space methcd is employed to derive the equation, and it is known from the numericaJ experience that only the fundamental of expanding modes is enough to describe the integral kernel of the ***-dependence is colected in the forcing term of the equation. The reactor core model is of two groups of neutrons in steady state and one group of precursors. Two performance functionals are tried. Both are quadratic but one is of the precursor history and the control, whereas, another is of the neutron flux density and the control. The latter formulation partly dissolves the weighting problem in the quadratic perfcrmance fufictional.

关键词： reaetor cores optimal control distributed parameter quadratic perfbrmance tracking regulation functicn space integral equations medes spatial distribution reactor kinetics

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Stability and Stabilization on Generalized Delay Stochastic Neural Network with distributed parameter

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Wuhan University Journal of Natural Sciences 2005年第5期10卷 823-827页

作者： LUO Qi DENG Fei-qi BAO Jun-dong College of Science Wuhan University of Science and Technology Wuhan 430081 Hubei China Institute of Automatic Science and Control Engineering South China University of Technology Guangzhou 510640Guangdong China Department of Mathematics Inner Mongolia Normal University Huhhot 010022 Inner Mongolia China

Inner stability and stabilization of Cohen-Grossberg generalized delay stochastic neural network with distributed parameter are discussed. The main method adopted is, combining inequality techniques, to apply Ito differential formula to the constructed average function with respect to spatial variables along the system considered under the integral operator. Some sufficient conditions are given.

关键词： distributed parameter generalized delay stochastic neural network stability and stabilization

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