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IEEE International Conference on Acoustics, Speech, and Signal Processing

作者： Boche, H Schubert, M Heinrich Hertz Inst Nachrichtentech Berlin GmbH D-10587 Berlin Germany

ISBN: (纸本)0780374029

We address the problem of joint downlink beamforming and power control in a wireless cellular system, where several users share the same time slot and the same frequency band. In order to enable a fair sharing of resources among all users, the SIR levels should be balanced by minimizing the infinity-norm of a certain vector. To this end, Gerlach and Paulraj [1] proposed an iterative algorithm, which is based on a 1-norm cost function. It has been observed that this algorithm approximates the optimum infinity-norm solution. In this paper we characterize the case where this algorithm is optimal. The analytical results are used to develop a new algorithm, which always converges to the optimum infinity-norm solution, regardless of the chosen initialization. A proof of convergence is given.

关键词： cellular radio radiofrequency interference optimisation array signal processing iterative methods radio links telecommunication control power control convergence of numerical methods joint downlink beamforming power control optimum SIR balancing extended 1-norm beamforming optimization wireless cellular system frequency band sharing time slot sharing iterative algorithm 1-norm cost function optimum /spl infin/-norm solution convergence

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An iterative method for output feedback mixed H₂/H_∞ control problem

An iterative method for output feedback mixed <i>H</i><sub>2...

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Annual Conference on the Society-of-Instrument-and-Control-Engineers

作者： Kami, Yasushi Nobuyama, Eitaku Akashi Natl Coll Technol Dept Elect & Comp Engn Hyogo Japan Kyushu Inst Technol Dept Syst Innovat & Informat Fukuoka Japan

ISBN: (纸本)9784907764289

This paper treats the output feedback H-2 control with H-infinity norm constraint (mixed H-2/H-infinity control problem). In general, this problem is a BMI problem which is difficult to be solved theoretically. The purpose of this paper is to propose an iterative method for obtaining a sub-optimal solution of the mixed H-2/H (infinity) control problem. The key idea of this paper is to employ a full-order observer-based controller. The proposed method produces a sequence of controllers which approaches to the unconstrained globally optimal H-2 controller while it satisfies the H-infinity norm constraint. A numerical example shows the effectiveness of our method.

关键词： mixed H-2/H-infinity control output-feedback observer-based controller iterative algorithm

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A Mean Field Control approach for Demand Side Management of Large Populations of Thermostatically Controlled Loads

A Mean Field Control approach for Demand Side Management of ...

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European Control Conference (ECC)

作者： Grammatico, Sergio Gentile, Basilio Parise, Francesca Lygeros, John Swiss Fed Inst Technol Automat Control Lab Zurich Switzerland

ISBN: (纸本)9783952426937

This paper presents a Mean Field (MF) control approach for demand side management of large populations of flexible electric loads, such as electrical cooling/heating appliances, called Thermostatically Controlled Loads (TCLs). We model the switching dynamics of each individual TCL as the solution of a local optimization problem, characterized by individual cost function, comfort constraints, cooling/heating rates and external temperature. We consider that a central utility company broadcasts macroscopic incentives to steer the overall TCL population towards a convenient equilibrium, to avoid power demand peaks due to possible synchronization of the TCL duty cycles. To find such pricing schemes we propose an iterative algorithm where, at every step, a simple model-free feedback law is used to update the incentives, given the current aggregate demand of the TCL population only. The convergence of such algorithm is ensured for any population size, even in the presence of heterogeneous convex constraints. We illustrate our MF control approach via numerical analysis.

关键词： cooling demand side management feedback heating iterative methods pricing temperature temperature control MF control approach TCL duty cycle TCL population central utility company comfort constraint convenient equilibrium cooling/heating rate electrical cooling/heating appliance external temperature flexible electric load heterogeneous convex constraint individual cost function iterative algorithm macroscopic incentive mean field control approach model-free feedback law numerical analysis power demand peak pricing scheme switching dynamics synchronization thermostatically controlled load Companies Load modeling Power demand Pricing Sociology Statistics Switches

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Transfer operator approach for computing domain of attraction 49

Transfer operator approach for computing domain of attractio...

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49th IEEE Conference on Decision and Control (CDC)

作者： Wang, Kai Vaidya, Umesh Iowa State Univ Dept Elect & Comp Engn Ames IA 50011 USA

ISBN: (纸本)9781424477463

In this paper, we propose a linear transfer operator-based approach for the computation of domain of attraction of an attractor set. The almost everywhere notion of stability of an attractor set is used for the computation of domain of attraction. The proposed method is applicable to autonomous dynamical systems with the only requirement that the system mapping is a differentiable function of states. Furthermore domain of attraction of any general attractor set can be computed. Set oriented numerical scheme and iterative procedure based on the solution of finite dimensional linear program is proposed for the computation of domain of attraction. The application of the proposed method is demonstrated on two and three dimensional continuous and discrete-time systems.

关键词： Transfer operator Domain of attraction iterative algorithm

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Energy Efficiency Optimization in Large-Scale Distributed MIMO Systems over K Fading Channels 28

Energy Efficiency Optimization in Large-Scale Distributed MI...

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28th Annual IEEE International Symposium on Personal, Indoor, and Mobile Radio Communications (PIMRC)

作者： Lu, Guangyan Li, Lihua Du, Liutong Tian, Hui Beijing Univ Posts & Telecommun State Key Lab Networking & Switching Technol Beijing 100786 Peoples R China

ISBN: (纸本)9781538635315

In this paper, we investigate the energy efficiency (EE) of large-scale distributed multiple-input multiple-output (D-MIMO) systems. Firstly, we derive an analytical closed-form expression of the lower bound on the ergodic capacity for D-MIMO systems, and the asymptotic performance for the large-scale antenna arrays systems over K fading channels is proposed. Utilizing these results, we elaborate on the EE optimization problem with transmitted power constraint. To tackle this multi-objective optimization problem, we propose an one-dimension iterative search algorithm with low complexity to obtain the optimal number of receive antennas, transmitted power and achievable sum rate with optimum EE. Simulation results verify the performance gain of the proposed scheme along with the increasing number of transmit antennas.

关键词： Large-scale MIMO distributed MIMO K fading channel energy efficiency iterative algorithm

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European Market Coupling algorithm incorporating clearing conditions of block and complex orders

European Market Coupling Algorithm incorporating clearing co...

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PowerTech, 2015 IEEE Eindhoven

作者： Dourbois, Grigoris A. Biskas, Pandelis N. Aristotle Univ Thessaloniki Power Syst Lab Dept Elect & Comp Engn Thessaloniki Greece

ISBN: (纸本)9781479976959

In this paper an algorithm for the solution of the European electricity market coupling is presented, considering all block and complex orders available in the European Power Exchanges. The model takes into account the clearing conditions of profile and regular block orders, linked block orders, exclusive group of block orders and flexible hourly orders, as well as the clearing conditions of Minimum Income Condition and Load Gradient orders, possibly under a scheduled stop condition. The model considers also hourly flow ramping constraints on single interconnections or group of interconnections, net position ramping constraints, interconnection losses and tariffs. The flow-based approach is implemented, using the zonal PTDF matrix. The algorithm eliminates possible paradoxically accepted block and MIC orders within an iterative process. The proposed algorithm is evaluated in a pan-European day-ahead electricity marketplace.

关键词： European electricity market block and complex orders iterative algorithm mixed integer linear programming

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Nonparametric estimation of multivariate distribution function for truncated and censored lifetime data

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EUROPEAN ACTUARIAL JOURNAL 2019年第1期9卷 209-239页

作者： Baskakov, Valery Bartunova, Anna European Actuarial & Consulting Serv EURACS IAAC Malaya Filevskaya St 50Ap 80 Moscow 121433 Russia RFTA 4A Pudovkina Str Moscow 119285 Russia

A number of models for generating statistical data in various fields of insurance, including life insurance, pensions, and general insurance have been considered. It is shown that the insurance statistics data, as a rule, are truncated and censored, and often multivariate. We propose a non-parametric estimation of the distribution function for multivariate truncated-censored data in the form of a quasi-empirical distribution and a simple iterative algorithm for its construction. To check the accuracy of the proposed evaluation of the distribution function for truncated-censored data, simulation studies have been conducted, which showed its high efficiency. The proposed estimates have been tested for many years by the IAAC Group of Companies in the actuarial valuation of corporate social liabilities according to IAS 19 Employee Benefits. Apart from insurance, some results of the work can be used, for example in medicine, biology, demography, mathematical theory of reliability, etc.

关键词： Nonparametric estimation Censored and truncated data Multivariate distribution function Survival analysis iterative algorithm

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Nonsmooth Optimization-Based Beamforming in Multiuser Wireless Relay Networks

Nonsmooth Optimization-Based Beamforming in Multiuser Wirele...

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4th International Conference on Signal Processing and Communication Systems (ICSPCS)/12th International Symposium on DSP and Communication Systems (DSPCS)/9th Workshop on the Internet, Telecommunications and Signal Processing (WTSP)

作者： Phan, A. H. Tuan, H. D. Kha, H. H. Nguyen, Ha H. Univ New S Wales Sch Elect Engn & Telecommun Unsw Sydney NSW 2052 Australia Univ Saskatchewan Dept Elect & Comp Engn Saskatoon S7N 5A9 SK Canada

ISBN: (纸本)9781424479078

The amplify-and-forward (AF) relay beamforming problems are naturally formulated as indefinite quadratic (nonconvex) optimization programs. The typical methods for solving such optimization problems are to transform them into convex semi-definite programs (SDPs) with additional rank-one (nonconvex and discontinuous) constraints. The rank-one constraints are then dropped to obtain solvable SDP relaxed problems and randomization techniques are employed for seeking the feasible solutions to the original nonconvex optimization problems. In many conventional scenarios, the results from solving the rank-one relaxed SDP problems are enough to conclude the solutions since no rank-higher-than-one SDP resulting matrix can be observed. Through our simulations, we found that there are also many scenarios that the SDP solvers give high-rank solutions. Hence, in this paper the rank-one constraints are equivalently expressed as reverse convex constraints and are incorporated into the optimization problems. Then, we propose an efficient iterative algorithm for solving the nonsmooth reverse convex optimization problems. Our simulations show that our proposed approach yields nearly global optimal solutions.

关键词： amplify and forward communication amplify-and-forward relay beamforming array signal processing indefinite quadratic optimization programs iterative algorithm iterative methods multiuser wireless relay networks nonsmooth optimization-based beamforming qua

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Solving Two Coupled Fuzzy Sylvester Matrix Equations Using iterative Least-squares Solutions

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FUZZY INFORMATION AND ENGINEERING 2020年第4期12卷 464-489页

作者： Bayoumi, Ahmed M. E. Ramadan, Mohamed A. Ain Shams Univ Fac Educ Dept Math Cairo Egypt Menoufia Univ Fac Sci Dept Math Shibin Al Kawm Egypt

In this paper, five iterative methods for solving two coupled fuzzy Sylvester matrix equations are considered. The two coupled fuzzy Sylvester matrix equations are expressed by using the generalized inverse of the coefficient matrix, then iterative solutions are constructed by applying the hierarchical identification principle and by using the block-matrix inner product (the star product for short). A proposed modification to this algorithm to solve the first coupled fuzzy Sylvester matrix equations is suggested. This proposed modification is compared with the first algorithm where our modification exhibits fast convergence behavior. Also, we suggested two least-squares iterative algorithm by applying a hierarchical identification principle to solve the two coupled fuzzy Sylvester matrix equations. The proposed methods are illustrated by numerical examples.

关键词： Coupled fuzzy Sylvester matrix equations iterative algorithm Kronecker product Frobenius norm Star product

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Parameter Estimation for von Mises-Fisher Mixture Model via Gaussian Distribution

Parameter Estimation for von Mises-Fisher Mixture Model via ...

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Annual Summit and Conference of Asia-Pacific-Signal-and-Information-Processing-Association (APSIPA)

作者： Yasutomi, Suguru Tanaka, Toshihisa Tokyo Univ Agr & Technol Dept Elect & Elect Engn 2-24-16 Nakacho Koganei Tokyo 1848588 Japan

ISBN: (纸本)9786163618238

Directional statistics deal with direction, such as angles and phases. A well-known distribution in directional statistics is von Mises-Fisher (vMF) distribution, which is Gaussian distribution on a unit hypersphere. For a vMF mixture model, a maximum likelihood estimator and a variational Bayes estimator have already been derived. However, an iterative algorithm for finding the maximum likelihood estimator may accumulate approximation error. Besides, the variational Bayes estimator cannot estimate some parameters. This paper derives an estimator of the parameters in the vMF mixture model via the Gaussian distribution to solve these problems. We focus on the fact that the vMF distribution is derived from the Gaussian distribution. At first, we apply the estimation for the Gaussian mixture model to observed samples. Then, we convert the estimated Gaussian mixture distribution to a vMF mixture distribution. Experimental results support the analysis.

关键词： Gaussian distribution iterative methods maximum likelihood estimation mixture models Gaussian mixture distribution directional statistics iterative algorithm maximum likelihood estimator parameter estimation vMF mixture model variational Bayes estimator von Mises-Fisher mixture model Approximation methods Gaussian mixture model Maximum likelihood estimation Parameter estimation

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