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A parameter adaptive controller which provides exponential stability: The first order case

SYSTEMS & CONTROL LETTERS 2017年 103卷 23-31页

作者： Miller, Daniel E. Univ Waterloo Elect & Comp Engn Dept Waterloo ON Canada

Classical discrete-time adaptive controllers provide asymptotic stabilization. While the original adaptive controllers did not handle noise or unmodelled dynamics well, redesigned versions were proven to have some tolerance;however, neither exponential stabilization nor a bounded noise gain is typically proven. Here we consider the first order case and prove that if the original, ideal, projection algorithm is used in the estimation process (subject to the common assumption that the plant parameters lie in a convex, compact set and that the parameter estimates are restricted to that set), then it guarantees linear-like convolution bounds on the closed loop behaviour, which implies exponential stability and a bounded noise gain, as well an easily proven tolerance to unmodelled dynamics and plant parameter variation. (C) 2017 Elsevier B.V. All rights reserved.

关键词： Adaptive control projection algorithm projection Exponential stability Bounded gain

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On the Search algorithm for the Output Distribution That Achieves the Channel Capacity

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IEEE TRANSACTIONS ON INFORMATION THEORY 2017年第2期63卷 1043-1062页

作者： Nakagawa, Kenji Watabe, Kohei Sabu, Takuto Nagaoka Univ Technol Dept Elect & Elect & Informat Engn Nagaoka Niigata 9402188 Japan

We consider a search algorithm for the output distribution that achieves the channel capacity of a discrete memoryless channel. We will propose an algorithm by iterated projections of an output distribution onto affine subspaces in the set of output distributions. The problem of channel capacity has a similar geometric structure as that of smallest enclosing circle for a finite number of points in the Euclidean space. The metric in the Euclidean space is the Euclidean distance and the metric in the space of output distributions is the Kullback-Leibler divergence. We consider these two problems based on Amari's a-geometry. Then, we first consider the smallest enclosing circle in the Euclidean space and develop an algorithm to find the center of the smallest enclosing circle. Based on the investigation, we will apply the obtained algorithm to the problem of channel capacity.

关键词： Channel capacity discrete memoryless channel smallest enclosing circle information geometry projection algorithm

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Design of Distributed Adaptive Control for a Class of Discrete-time Multi-agent Systems with Nonlinearity and Uncertainty

Design of Distributed Adaptive Control for a Class of Discre...

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第30届中国控制与决策会议

作者： Nannan Li Hongbin Ma Xinghong Zhang School of Automation Beijing Institute of Technology

In this paper, a distributed adaptive control method is considered for a class of discrete-time multi-agent systems with nonlinearity and uncertainty. Each agent is affected by its neighbors, and there is a hidden agent as the leader in multi-agent systems who knows the desired reference signal. However, other agents are aware of neither the reference signal nor the existence of the hidden leader and leadership. In order to deal with uncertainty, a criteria function for each agent, which is consist of a weighted square combination of state errors and parameter errors with timevarying weighting factor, is adopted. By minimizing the criteria function, we propose a projection algorithm for each agent to estimate unknown parameters. Furthermore, we design a distributed adaptive controller for each agent using the information of its neighbors. Under the distributed adaptive control, the rigorous mathematical proof is presented to demonstrate that all the agents ultimately track the desired reference signal. Finally, simulation results are given to illustrate the theoretical results.

关键词： Distributed Adaptive Control projection algorithm Nonlinear and Uncertain dynamics Discrete Time

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Parallelization Strategies for Fast Factorized Backprojection SAR on Embedded Multi-Core Architectures

Parallelization Strategies for Fast Factorized Backprojectio...

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IEEE International Conference on Microwaves, Antennas, Communications and Electronic Systems (COMCAS)

作者： Wielage, M. Cholewa, F. Riggers, C. Pirsch, P. Blume, H. Leibniz Univ Hannover Inst Microelect Syst D-30167 Hannover Germany

ISBN: (纸本)9781538631690

This paper presents parallelization strategies for the implementation of imaging algorithms for synthetic aperture radar (SAR). Great emphasis is placed on time-domain based algorithms, namely the Global Backprojection algorithm (GBP) and its accelerated version, the Fast Factorized Backprojection algorithm (FFBP). Multi-core platforms are selected for implementation as some combine good performance results with moderate power consumption. The implemented algorithms support several types of parallelization, as the stages of the algorithms can be handled sequentially or interleaved. For the GBP algorithm three different data distribution schemes are investigated. For the FFBP algorithm a successive stage calculation method is compared with a combined calculation method. The performance is exemplary evaluated on the low cost/energy, yet powerful multi-core platform Odroid-XU4. All parallelization strategies show an almost linear speed-up with the number of used cores. Even though a specific multi-core platform is investigated, the design decisions are applicable for general multi-core architectures.

关键词： projection algorithm Radar imaging Parallel algorithms Multicore processing Low-power electronics

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Classical Discrete-Time Adaptive Control Revisited: Exponential Stabilization 1

Classical Discrete-Time Adaptive Control Revisited: Exponent...

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1st Annual IEEE Conference on Control Technology and Applications

作者： Miller, Daniel E. Univ Waterloo Dept Elect & Comp Engn Waterloo ON N2L 3G1 Canada

ISBN: (纸本)9781509021826

Classical discrete-time adaptive controllers provide asymptotic stabilization. While the original adaptive controllers did not handle noise or unmodelled dynamics well, redesigned versions were proven to have some tolerance;however, exponential stabilization and a bounded gain on the noise was rarely proven. Here we consider a classical pole placement adaptive controller using the original projection algorithm rather than the commonly modifed version;we impose the assumption that the plant parameters lie in a convex, compact set and that the parameter estimates are projected onto that set at every step. We demonstrate that the closed-loop system exhibits very desireable closed-loop behaviour: there are linear-like convolution bounds on the closed loop behaviour, which confers exponential stability and a bounded noise gain. We emphasize that there is no persistent excitation requirement of any sort.

关键词： Adaptive control projection algorithm Exponential stability Bounded gain

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A double projection algorithm for multi-valued variational inequalities and a unified framework of the method

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APPLIED MATHEMATICS AND COMPUTATION 2011年第23期217卷 9543-9551页

作者： Fang, Changjie He, Yiran Chongqing Univ Posts & Telecommun Inst Appl Math Chongqing 400065 Peoples R China Sichuan Normal Univ Dept Math Chengdu 610068 Sichuan Peoples R China

In this paper, we propose a double projection algorithm for a generalized variational inequality with a multi-valued mapping. Under standard conditions, our method is proved to be globally convergent to a solution of the variational inequality problem. Moreover, we present a unified framework of projection-type methods for multi-valued variational inequalities. Preliminary computational experience is also reported. (C) 2011 Elsevier Inc. All rights reserved.

关键词： Generalized variational inequality Pseudomonotone mapping Multi-valued mapping projection algorithm Unified framework

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Single-projection procedure for linear optimization

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JOURNAL OF GLOBAL OPTIMIZATION 2016年第1期66卷 95-110页

作者： Nurminski, E. A. Far Eastern Fed Univ Vladivostok Russia

It is shown in this paper that under strict complementarity condition, a linear programming problem can be solved by a single orthogonal projection operation onto the cone generated by rows of constraint matrix and corresponding right-hand sides. The efficient projection procedure with the finite termination is provided and computational experiments are reported.

关键词： Linear programming projection algorithm

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ITERATIVE projection AND REFLECTION METHODS: THEORY AND PRACTICE

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BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY 2016年第1期94卷 175-176页

作者： Tam, Matthew K. Univ Gottingen Inst Numer & Angew Math D-37083 Gottingen Germany

The article focuses on the family of projection and reflection methods which form the basis for a class of iterative algorithms which can be used to solve the feasibility problem. It discusses the feasibility problem framework and fundamental projection-type algorithms, as well as the cyclic Douglas-Rachford method. Moreover, it focuses on a theory in the presence of convex constraint sets.

关键词： feasibility problem projection algorithm Douglas-Rachford algorithm projection operator reflection operator

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Short-term photovoltaic power probability forecasting based on OLPP-GPR and modified clearness index

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The Journal of Engineering 2017年第13期2017卷 1625-1628页

作者： Li Fen Li Chunyang Yang Yong Yan Quanquan Zhao Jinbin Wang Lijuan College of Electrical Engineering Shanghai University of Electric Power Shanghai 200090 People's Republic of China Maintenance Company of SMEPC Shanghai 200063 People's Republic of China Hubei Provincial Meteorological Service Center Wuhan 430205 People's Republic of China

It is important for improving the prediction accuracy of short-term output of grid-connected photovoltaic (PV) systems for improving the safety, stability, and economic operation of power system. A short-term PV power probability forecasting method based on Gaussian process regression (GPR) is proposed under this study. This method classifies the weather type into five categories according to the modified clearness index proposed by Perez et al. Then, the orthogonal locality preserving projection (OLPP) algorithm is used to extract the feature vectors of meteorological variables. Based on the extracted feature vectors of meteorological variables, establish GPR model under different weather types, which were compared with the adaboost-BP neural network. The simulation results show that OLPP-GPR based on modified clearness index can be utilised to accurately predict PV power.

关键词： load forecasting regression analysis Gaussian processes power engineering computing backpropagation feature extraction neural nets photovoltaic power systems power systems vectors meteorology modified clearness index OLPP-GPR photovoltaic systems power system short-term PV power probability forecasting method Gaussian process regression weather type projection algorithm meteorological variables GPR model feature vector extraction short-term photovoltaic power probability forecasting PV systems orthogonal locality preserving projection

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A variational model for multiscale texture extraction

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OPTIK 2016年第1期127卷 299-309页

作者： Tang, Liming He, Chuanjiang Hubei Univ Nationalities Sch Sci Enshi 445000 Peoples R China Chongqing Univ Coll Math & Stat Chongqing 401331 Peoples R China

We propose a hierarchical (BV, G) variational decomposition model for multiscale texture extraction in this paper, which can offers a hierarchical, separated representation of image texture in different scales. The proposed hierarchical decomposition is obtained by replacing the fixed scale parameter of the A(2)BC model with a varying sequence. Some properties of this hierarchical decomposition are presented and its convergence is proved. We adopt Euclidean projection algorithm to solve this hierarchical decomposition model numerically. In addition, we use this hierarchical decomposition to achieve the multiscale texture extraction. The performance of the proposed model is demonstrated with both synthetic and real images. (C) 2015 Elsevier GmbH. All rights reserved.

关键词： Variational image decomposition Texture extraction Multiscale projection algorithm

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