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A Grassmann Matrix Approach for the Computation of Degenerate Solutions for Output Feedback Laws

IFAC-PapersOnLine 2017年第1期50卷 10839-10844页

作者： Leventides J. Meintanis I. Karcanias N. University of Athens Department of Economics Section of Mathematics and Informatics Pezmazoglou 8 Athens Greece Systems and Control Research Centre School of Mathematics Computer Sciences and Engineering City University of London Northampton Square London EC1V 0HB United Kingdom

The paper is concerned with the improvement of the overall sensitivity properties of a method to design feedback laws for multivariable linear systems which can be applied to the whole family of determinantal type frequency assignment problems, expressed by a unified description, the so-called Determinantal Assignment Problem (DAP). By using the exterior algebra/algebraic geometry framework, DAP is reduced to a linear problem (zero assignment of polynomial combinants) and a standard problem of multilinear algebra (decomposability of multivectors) which is characterized by the set of Quadratic Plücker Relations (QPR) that define the Grassmann variety of P. This design method is based on the notion of degenerate compensator, which are the solutions that indicate the boundaries of the control design and they provide the means for linearising asymptotically the nonlinear nature of the problems and hence are used as the starting points to generate linearized feedback laws. A new algorithmic approach is introduced for the computation and the selection of degenerate solutions (decomposable vectors) which allows the computation of static and dynamic feedback laws with reduced sensitivity (and hence more robust solutions). This approach is based on alternative, linear algebra type criterion for decomposability of multivectors to that defined by the QPRs, in terms of the properties of structured matrices, referred to as Grassmann Matrices. The overall problem is transformed to a nonlinear maximization problem where the objective function is expressed via the Grassmann Matrices and the first order conditions for optimality are reduced to a nonlinear eigenvalue-eigenvector problem. Hence, an iterative method similar to the power method for finding the largest modulus eigenvalue and the corresponding eigenvector is proposed as a solution for the above problem. © 2017

关键词： Frequency assignment Linear multivariable systems Linear systems Output feedback control (linear case)

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Analysis of a solute transport model with non-constant dispersion

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AIP Conference Proceedings 2019年第1期2116卷

作者： Basetsana P. Ntsime Raseelo J. Moitsheki 1Department of Applied Physics and Engineering Mathematics University of Johannesburg P.O. Box 524 Doornfontein Campus 2028 Johannesburg South Africa 2School of Computer Science and Applied Mathematics University of the Witwatersrand Private bag 3 WITS Johannesburg 2050 South Africa Email: raseelo.moitsheki@wits.ac.za

A non-linear two dimensional convection-dispersion equation (CDE) plays a vital role in most mathematical model. Our study is based on the model arising from water contamination through oil spillage. The model contains the non-constant dispersion. We employ Lie symmetry method to reduce the CDE into a simpler ordinary differential equations (ODEs) and introduce the G/G1 and w = (z′)−1 techniques to determine the exact solutions. Furthermore if the ODE turns to be difficult to solve, we resort to transformation methods which reduce the ODEs to a more simpler first ODEs. Exact solutions are constructed.

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The efficiency improving methods analyzing for the gasoil pump unit

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AIP Conference Proceedings 2019年第1期2141卷

作者： O. A. Lysenko A. V. Simakov M. Y. Chernev 1Department of Electrical Engineering Energy Institute Omsk State Technical University Mira Ave 11 Omsk 644050 Russia 2Department of Electrical Machines and General Electrical Engineering Electromechanical Faculty Omsk State Transport University Marx Ave 35 Omsk 644046 Russia 3Department of Theoretical Electrical Engineering and Electrification of Oil and Gas Industry Faculty of Automation and Computer Science Gubkin Russian State University of Oil and Gas (National Research University) Leninsky Prospekt Moscow 119991 Russia

In this article, the issues of improving the efficiency are considered. The aim of the work is to determine the benefits of using the PMSM-drive for the gasoil pump unit. Firstly, the object of study is selected. Secondly, the pump power consumption is analyzed. Then, energy optimization options are calculated. The method for determining power consumption parameters is a mathematical calculation. As a result, the object power characteristics are built. The pump energy consumption is calculated, the low efficiency of the pumping unit is determined. The efficiency may be increased by using PMSM-drive.

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Variable population memetic search: A case study on the critical node problem

arXiv

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arXiv 2019年

作者： Zhou, Yangming Hao, Jin-Kao Fu, Zhang-Hua Wang, Zhe Lai, Xiangjing School of Information Science and Engineering East China University of Science and Technology 130 Meilong Road Shanghai200237 China Key Laboratory of Advanced Control and Optimization for Chemical Processes Ministry of Education Department of Computer Science LERIA Université d'Angers 2 Boulevard Lavoisier Angers49045 France Institut Universitaire de France 1 rue Descartes Paris75231 France Robotics Laboratory for Logistics Service Institute of Robotics and Intelligent Manufacturing Chinese University of Hong Kong Shenzhen Institute of Artificial Intelligence and Robotics for Society Shenzhen518172 China Institute of Advanced Technology Nanjing University of Posts and Telecommunications Nanjing210023 China

Population-based memetic algorithms have been successfully applied to solve many difficult combinatorial problems. Often, a population of fixed size was used in such algorithms to record some best solutions sampled during the search. However, given the particular features of the problem instance under consideration, a population of variable size would be more suitable to ensure the best search performance possible. In this work, we propose variable population memetic search (VPMS), where a strategic population sizing mechanism is used to dynamically adjust the population size during the memetic search process. Our VPMS approach starts its search from a small population of only two solutions to focus on exploitation, and then adapts the population size according to the search status to continuously influence the balancing between exploitation and exploration. We illustrate an application of the VPMS approach to solve the challenging critical node problem (CNP). We show that the VPMS algorithm integrating a variable population, an effective local optimization procedure (called diversified late acceptance search) and a backbone-based crossover operator performs very well compared to state-of-the-art CNP algorithms. The algorithm is able to discover new upper bounds for 13 instances out of the 42 popular benchmark instances, while matching 23 previous best-known upper bounds. Copyright © 2019, The Authors. All rights reserved.

关键词： Population statistics

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Flexible, multi-measurement guided wave damage detection under varying temperatures

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AIP Conference Proceedings 2018年第1期1949卷

作者： Alexander C. S. Douglass Joel B. Harley 1Department of Mechanical Engineering University of Utah Salt Lake City Utah USA 2Department of Electrical and Computer Engineering University of Utah Salt Lake City Utah USA

Temperature compensation in structural health monitoring helps identify damage in a structure by removing data variations due to environmental conditions, such as temperature. Stretch-based methods are one of the most commonly used temperature compensation methods. To account for variations in temperature, stretch-based methods optimally stretch signals in time to optimally match a measurement to a baseline. All of the data is then compared with the single baseline to determine the presence of damage. Yet, for these methods to be effective, the measurement and the baseline must satisfy the inherent assumptions of the temperature compensation method. In many scenarios, these assumptions are wrong, the methods generate error, and damage detection fails. To improve damage detection, a multi-measurement damage detection method is introduced. By using each measurement in the dataset as a baseline, error caused by imperfect temperature compensation is reduced. The multi-measurement method increases the detection effectiveness of our damage metric, or damage indicator, over time and reduces the presence of additional peaks caused by temperature that could be mistaken for damage. By using many baselines, the variance of the damage indicator is reduced and the effects from damage are amplified. Notably, the multi-measurement improves damage detection over single-measurement methods. This is demonstrated through an increase in the maximum of our damage signature from 0.55 to 0.95 (where large values, up to a maximum of one, represent a statistically significant change in the data due to damage).

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Determination of mechanical properties of battery films from acoustic resonances

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AIP Conference Proceedings 2018年第1期1949卷

作者： Kathryn L. Dallon Jing Yao Dean R. Wheeler Brian A. Mazzeo 1Department of Electrical and Computer Engineering Brigham Young University Provo Utah 84602 USA 2Department of Chemical Engineering Brigham Young University Provo Utah 84602 USA

Measuring the mechanical properties of lithium-ion battery films, such as thickness and elasticity, is important for predicting and improving homogeneity of the films and subsequent performance of the battery. Problems with film heterogeneity could be identified and addressed early on through accurate, non-destructive inspection of the electrode as it is being manufactured. This research investigates the use of acoustic measurements as an alternative means of non-destructive quality control that could be adapted for on-line use. Here we report on our efforts to distinguish among films with different mechanical properties using acoustic resonances. A clamped film is excited using a pulsed infrared laser to produce an acoustic resonance in a confined area, and a microphone measures the acoustic response. Because the resonance depends on properties such as thickness and density, the resonance frequency shifts with changes in these properties. As the thickness increases, the resonance frequency decreases. These results show that acoustic tests can demonstrate observable differences between films with different properties.

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Experimental study of camel powered electricity generation unit

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AIP Conference Proceedings 2018年第1期1953卷

作者： O. P. Jakhar Rahul Raj Choudhary Mukesh Budaniya Ashish Kumar 1Department of Mechanical Engineering Government Engineering College Bikaner Rajasthan India 2Department of Electronic Instrumentation and Control Engineering Government Engineering College Bikaner Rajasthan India 3Department of Mechanical Engineering Government Engineering College Bikaner Rajasthan India

Developing nations are facing a huge gap in generation and demand of electricity across the world. In present scenario the demand of electricity is increasing day by day and the shortfall of electricity has become one of the major obstructions in the development of rural areas. There is a big gap between electricity supply and demand. In India it is very difficult that to give twenty four hours electric supply in rural areas. The traditional use of camel as draught animal, for the purpose of transport of goods and agricultural work, has been drastically reduced during last few decades, due to advancements and cheaper availability of mechanical machineries. In this research paper we experimentally studied the camel powered electricity generation system at National Research Centre on Camels (NRCC) Bikaner. Camel Energy in form of high torque low speed can be converted into low torque high speed through motion converting system i.e. gear and pulley mechanism for high RPM output. This high RPM (more than 3000) output is used for electricity generation. The electricity generated can be used directly or stored in the battery and later may be used whenever it is required either for DC light or AC light using inverter. According to experimental study a camel can comfortably generate electricity up to 1KW by rotating shaft. The complete set up for electricity generation using camel power has been designed, developed and physically commissioned at National Research Centre on Camels (NRCC) Bikaner.

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Security analysis of Yu-CaO neural networks scheme

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AIP Conference Proceedings 2018年第1期2040卷

作者： Xiaoyan Ye Xiaoying Ye Ruiran Wu 1Department of Network Technology South China Institute of Software Engineering Guangzhou University China 2Department of Computer Science and Technology Neusoft Institute of Guangdong China

In 2006, Yu et al. presented a new cryptographic scheme based on delayed chaotic neural networks. However, Yang et al. found a fundamental flaw in Yu-Cao scheme by means of chosen plaintext attack in 2009. In this paper, a more effective method is described through the analysis of the Exclusive-or operation. As a result, it makes this cryptographic scheme insecure.

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Algorithms development for the energy management of a micro combined heat and power unit in an AC-DC microgrid

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AIP Conference Proceedings 2019年第1期2123卷

作者： Anestis G. Anastasiadis Georgios Poulimenos Apostolos Polyzakis N. Manousakis Georgios Vokas 1Department of Electrical and Electronics Engineering University of West Attica P. Ralli & Thivon 250 12244 Aigaleo Greece 2School of Electrical and Computer Engineering National Technical University of Athens Zografou Campus 9 Iroon Polytechniou str 15780 Zografou Greece 3Department of Mechanical Engineering TEI of Western Greece Megalou Alexandrou 1 Koukouli Patras 26334 Greece 4Assistant Professor of Electrical and Electronics Engineering Department University of West Attica P. Ralli & Thivon 250 12244 Aigaleo Greece 5Professor of Electrical and Electronics Engineering Department University of West Attica P. Ralli & Thivon 250 12244 Aigaleo Greece

In the past few years, a lot of research has been done in the field of Microgrids (MG) and Smart Grids (SG). The goals of them are to make the power infrastructure more reliable, effective and to incorporate Distributed Generations (DG) for example Renewable Energy Sources (RES), Combined Heat and Power (CHP) systems, Batteries in an efficient and cost-effective manner. Nowadays, roof top solar systems and micro CHP have become really popular for home usage. With the installation of solar Photovoltaics (PV), and micro CHP (mCHP) users are already participating in the operation of DC-AC systems. Therefore, it is important to control their usage. This can be done using an Energy Management System (EMS). The whole system (home and power grid) can be controlled on various parameters. These parameters can include power generated from solar PV, mCHP and power grid, state of charge of battery, AC and DC load demand, price of power, selection of renewable or grid power by the user, etc. The purpose of this paper is to develop appropriate control algorithms for the energy management of DG units in an AC/DC Microgrid which mainly incorporated PVs units (PV), mCHP and Batteries. The main focus is on the energy control and management of the mCHP system in order to meet the consumers’ electrical and thermal needs and to minimize the power flow from the main power grid. All algorithms have been implemented with the Matlab program.

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On the numerical solution of nonlinear system of coupled sine-Gordon equations

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AIP Conference Proceedings 2018年第1期1997卷

作者： Ozgur Yildirim Meltem Uzun Oguz Altun 1Department of Mathematics Yildiz Technical University 34220 Esenler Istanbul Turkey 2Department of Computer Engineering Yildiz Technical University 34220 Esenler Istanbul Turkey

In this paper, a system of nonlinear coupled sine-Gordon, which have some powerful applications in physics and biology is considered. A special case of this system, which describe the open states in DNA double helices is studied. Numerical solution of this system is obtained by finite difference method with fixed point iteration. Some examples are considered and the results of numerical experiments are presented.

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