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Reduced-order proper orthogonal decomposition extrapolating finite volume element format for two-dimensional hyperbolic equations

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Applied Mathematics and Mechanics(English Edition) 2017年第2期38卷 289-310页

作者： Zhendong LUO Fei TENG School of Mathematics and Physics North China Electric Power University Beijing 102206 China School of Control and Computer Engineering North China Electric Power University Beijing 102206 China

This paper is concerned with establishing a reduced-order extrapolating fi- nite volume element （FVE） format based on proper orthogonal decomposition （POD） for two-dimensional （2D） hyperbolic equations. For this purpose, a semi discrete variational format relative time and a fully discrete FVE format for the 2D hyperbolic equations are built, and a set of snapshots from the very few FVE solutions are extracted on the first very short time interval. Then, the POD basis from the snapshots is formulated, and the reduced-order POD extrapolating FVE format containing very few degrees of freedom but holding sufficiently high accuracy is built. Next, the error estimates of the reduced-order solutions and the algorithm procedure for solving the reduced-order for- mat are furnished. Finally, a numerical example is shown to confirm the correctness of theoretical conclusions. This means that the format is efficient and feasible to solve the 2D hyperbolic equations.

关键词： reduced-order finite volume element （FVE） extrapolating format properorthogonal decomposition （POD） hyperbolic equation error estimate numerical simula-tion

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Optimized finite difference iterative scheme based on POD technique for 2D viscoelastic wave equation

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Applied Mathematics and Mechanics(English Edition) 2017年第12期38卷 1721-1732页

作者： Hong XIA Zhendong LUO School of Control and Computer Engineering North China Electric Power UniversityBeijing 102206China School of Mathematics and Physics North China Electric Power UniversityBeijing 102206China

This study develops an optimized finite difference iterative （OFDI） scheme for the two-dimensional （2D） viscoelastic wave equation. The OFDI scheme is obtained using a proper orthogonal decomposition （POD） method. It has sufficiently high accuracy with very few unknowns for the 2D viscoelastic wave equation. Existence, stability, and convergence of the OFDI solutions are analyzed. Numerical simulations verify efficiency and feasibility of the proposed scheme.

关键词： optimized finite difference iterative （OFDI） scheme viscoelastic wave equation proper orthogonal decomposition （POD） existence stability convergence numericalsimulation

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TransMut: a program to predict HLA-I peptide binding and optimize mutated peptides for vaccine design by the Transformer-derived self-attention model

Research Square

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Research Square 2021年

作者： Chu, Yanyi Zhang, Yan Wang, Qiankun Zhang, Lingfeng Wang, Xuhong Wang, Yanjing Wang, Jianmin Jiang, Xue Salahub, Dennis Russell Xiong, Yi Wei, Dong-Qing State Key Laboratory of Microbial Metabolism Shanghai-Islamabad-Belgrade Joint Innovation Center on Antibacterial Resistances Joint International Research Laboratory of Metabolic & Developmental Sciences School of Life Sciences and Biotechnology Shanghai Jiao Tong University Shanghai200030 China Department of Chemistry CMS - Centre for Molecular Simulation IQST - Institute for Quantum Science and Technology University of Calgary 2500 University Drive NW CalgaryABT2N 1N4 Canada Department of Clinical Oncology The University of Hong Kong-Shenzhen Hospital Shenzhen China School of Electrical Engineering and Computer Science University of Ottawa 75 Laurier Ave. OttawaONK1N 6N5 Canada The Ministry of Education Key Laboratory of System control and information processing Department of Automation School of Electronic Information and Electrical Engineering Shanghai Jiao Tong University Shanghai200030 China Integrative Biotechnology & Translational Medicine Yonsei University Incheon21983 Korea Republic of Peng Cheng Laboratory Vanke Cloud City Phase I Building 8 Xili Street Nanshan District Guangdong Shenzhen518055 China

Computational prediction of the interaction between human leukocyte antigen (HLA) and peptide (pHLA) can speed up epitope screening and vaccine design. Here, we develop the TransMut framework composed of TransPHLA for pHLA binding prediction and AOMP for mutated peptide optimization, which can be generalized to any binding and mutation task of biomolecules. Firstly, TransPHLA is developed by using a Transformer-derived self-attention model to predict pHLA binding, which is significantly superior to 11 previous methods on pHLA binding prediction, neoantigen and human papilloma virus vaccine identification. For vaccine design, the AOMP program is then developed to automatically optimize mutated peptides to search for mutant peptides with higher affinity to the target HLA and with high homology to the source peptide. Among 3660 non-binding pHLAs, 3630 were successfully mutated. Of these, 94% were verified by the IEDB recommended method, and 88% have homology higher than 80% to the source peptide. © 2021, CC BY.

关键词： Peptides

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How much information is needed in quantized nonlinear control?

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中国科学（信息科学） 2018年第9期61卷 199-211页

作者： Chuang ZHENG Lin LI Leyi WANG Chanying LI School of Mathematical Sciences Beijing Normal University Beijing 100875 China Department of Electrical and Computer Engineering Wayne State University Detroit 48202 USA Key Laboratory of Systems and Control Academy of Mathematics and Systems ScienceChinese Academy of Sciences Beijing 100190 China

Quantization rate is a crucial measure of complexity in determining stabilizability of control systems subject to quantized state *** paper investigates quantization complexity for a class of nonlinear systems which are subjected to disturbances of unknown statistics and unknown *** class of systems includes linear stablizable systems as special *** lower bounds on the quantization rates are derived which guarantee input-to-state stabilizability for continuous-time and sampled-data feedback strategies,*** examples are provided to validate the results.

关键词： nonlinear systems disturbances input-to-state stabilizability sampled systems quantization rate

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Mean Field Games for Multiagent Systems with control-dependent Multiplicative Noises 36

Mean Field Games for Multiagent Systems with Control-depende...

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第36届中国控制会议

作者： Bing-Chang Wang Yuan-Hua Ni Dan-Dan Pang Bingchang Wang is with School of Control Science and Engineering Shandong University College of Computer and Control Engineering Nankai University School of Information and Electrical Engineering Shandong Jianzhu University

ISBN: (纸本)9781538629185

This paper studies mean field games for multiagent systems with multiplicative noises. By solving an auxiliary limiting optimal control problems subject to consistent mean field approximations, a set of decentralized strategies is obtained and further shown to be an asymptotical Nash equilibrium. Then, we apply the result to the consensus problem for the model of single integrators with multiplicative noises. It is shown that under the proposed strategies all the agents achieve asymptotic average consensus in the mean square sense.

关键词： mean field game multiplicative noise decentralized strategy asymptotic average consensus

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A New Distributed Method for Clock Synchronization in Sensor Networks 29

A New Distributed Method for Clock Synchronization in Sensor...

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第29届中国控制与决策会议

作者： Yong Qiao Wenlun Yang Minyue Fu State Key Laboratory of Industrial Control Technology and School of Control Science and Engineering Zhejiang University School of Electrical Engineering and Computer Science University of Newcastle

ISBN: (纸本)9781509046584

In this paper,we present a new distributed protocol to achieve the synchronization of time variations and initial times *** protocol combines the design methods of controller and estimator to obtain more precise synchronization with higher robustness against noisy inputs mainly generated by crystal oscillators of ***,the control input is ensured bounded while achieving the clock synchronization,which makes our protocol more applicable in *** implementation of the protocol allows sampling in the receiving end to be event-triggered with a specifically designed communication *** simulations are shown to illustrate the performance of the protocol.

关键词： Distributed Algorithm Clock Synchronization Consensus control Sensor Networks

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Constrained Observer Based Iterative Learning control Design in the Repetitive Process Setting

Constrained Observer Based Iterative Learning Control Design...

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IEEE Annual Conference on Decision and control

作者： Julia Emelianova Pavel Pakshin Krzysztof Galkowski Eric Rogers Arzamas Polytechnic Institute of R.E. Alekseev Nizhny Novgorod State Technical University Arzamas Institute of Control and Computation Engineering University of Zielona Gora Zielona Gora Poland School of Electronics and Computer Science University of Southampton Southampton UK

ISBN: (数字)9781728113982

ISBN: (纸本)9781728113999

Iterative learning control is a well established method applicable to systems that repeat the same finite duration task over and over again. The mechanism is to use information from the previous repetition to update the control input for the next repetition and thereby sequentially improve performance. Given that it directly regulates the control input, there may be cases where the levels of control action breach the safe operating range of the actuators used. This paper develops a new design for the case when a limit is placed on the control action allowed. The analysis represents the dynamics in a 2D systems setting and uses the stability theory for the particular case of repetitive processes as a basis for analysis and design.

关键词： Two dimensional displays Robots Stability analysis Observers Feedback control Iterative learning control Task analysis

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Prediction-based Optimal Distributed Filtering with Communication Delay over Sensor Networks

Prediction-based Optimal Distributed Filtering with Communic...

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第三十八届中国控制会议

作者： Jun Hu Guo-Ping Liu Zidong Wang Hongxu Zhang School of Engineering University of South Wales Heilongjiang Provincial Key Laboratory of Optimization Control and Intelligent Analysis for Complex Systems Harbin University of Science and Technology CTGT center Harbin Institute of Technology Department of Computer Science Brunel University London School of Measurement and Communication Harbin University of Science and Technology

In this paper, the prediction-based distributed filtering problem is discussed for a class of time-varying stochastic systems with communication delay and different types of noises over sensor networks. The communication delay is characterized when the state estimations are transmitted between adjacent sensor nodes. In order to compensate the effects induced by the communication delay, the prediction-based idea is employed and then the active compensation estimation is provided when designing the time-varying distributed filter. In particular, both the prediction-based state estimation and its own innovation measurements are utilized in terms of the concerned sensor networks under given topological structure. Subsequently, a locally minimum upper bound of the filtering error covariance is given by determining the filter gain at each time step. Finally, the validity and advantages of the presented prediction-based distributed filtering method are illustrated by some simulations.

关键词： Time-varying stochastic systems Sensor networks Optimal distributed filtering Communication delay Prediction compensation

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Modeling and Simulation of Double Capacity Tank Level control System Based on Linear Graph Theory

Modeling and Simulation of Double Capacity Tank Level Contro...

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第37届中国控制会议

作者： Hui Leng Yue Zhang North China Electric Power School of Control and Computer Engineering Hebei Power Generation Process Simulation and Optimization Control Engineering Technology Research Center

The double-capacity tank liquid level system has the characteristics of inertia,time delay and *** practical industrial objects can be abstracted as the tank model to describe their working *** techniques are widely used to assist in representing dynamic system models,while linear graphs represent the internal relationships between components in a *** to the linear graph modeling theory,this paper takes the double-capacity water tank as the research object,and establishes the mathematical model of the tank liquid level control *** simulate the system on this basis,and the transfer function of the system is obtained based on the state space equation,the correctness of the transfer function is verified by the equivalent impedance *** simulation results show that the modeling of linear graph theory can ensure that the model can better reflect the true characteristics of the system.

关键词： Double Capacity Tank Linear Graph Theory State Space Equation Equivalent Impedance Method

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Intent Pattern Recognition of Lower-limb Motion Based on Mechanical Sensors

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IEEE/CAA Journal of Automatica Sinica 2017年第4期4卷 651-660页

作者： Zuojun Liu Wei Lin Yanli Geng Peng Yang School of Control Science and Engineering Hebei University of Technology Engineering Research Center of Intelligent Rehabilitation Ministry of Education Department of Electrical Engineering and Computer Science Case Western Reserve University Hebei University of Technology

Based on the regularity nature of lower-limb motion,an intent pattern recognition approach for above-knee prosthesis is proposed in this paper. To remedy the defects of recognizer based on electromyogram(EMG), we develop a pure mechanical sensor architecture for intent pattern recognition of lower-limb motion. The sensor system is composed of an accelerometer, a gyroscope mounted on the prosthetic socket, and two pressure sensors mounted under the sole. To compensate the delay in the control of prosthesis, the signals in the stance phase are used to predict the terrain and speed in the swing phase. Specifically, the intent pattern recognizer utilizes intraclass correlation coefficient(ICC) according to the Cartesian product of walking speed and terrain. Moreover, the sensor data are fused via DempsterShafer's theory. And hidden Markov model(HMM) is used to recognize the realtime motion state with the reference of the prior step. The proposed method can infer the prosthesis user's intent of walking on different terrain, which includes level ground,stair ascent, stair descent, up and down ramp. The experiments demonstrate that the intent pattern recognizer is capable of identifying five typical terrain-modes with the rate of 95.8%. The outcome of this investigation is expected to substantially improve the control performance of powered above-knee prosthesis.

关键词： Above-knee prosthesis hidden Markov model(HMM) intra-class correlation coefficient(ICC) intent pattern recognition sensor fusion

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