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Prof. SHEN's Group
Distributed Artificial Intelligence Laboratory, ERC-FCDE, MoE
School of Mathematics, Renmin University of China


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Main Contributions


Topic 1: ILC with Random Data Dropouts
ILC with data dropouts
Summary:
In this topic, we have studied various data dropout models (e.g., stochastic sequence model, Bernoulli random variable model, and Markov chain model), controlled plants (e.g., linear model and nonlinear model), dropout positions (e.g., one-sided and two-sided dropouts), update laws (e.g., intermittent update scheme and successive update scheme), and convergence senses (e.g., expectation sense, mean square sense, and almost sure sense).
Representive publications:
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Dong Shen. Iterative Learning Control with Incomplete Information: A Survey. IEEE/CAA Journal of Automatica Sinica, vol. 5, no. 5, pp. 885-901, 2018.
icon Dong Shen. Data-Driven Learning Control for Stochastic Nonlinear Systems: Multiple Communication Constraints and Limited Storage. IEEE Transactions on Neural Networks and Learning Systems, vol. 29, no. 6, pp. 2429-2440, 2018.
icon Dong Shen, Jian-Xin Xu. A Novel Markov Chain Based ILC Analysis for Linear Stochastic Systems Under General Data Dropouts Environments. IEEE Transactions on Automatic Control, vol. 62, no. 11, pp. 5850-5857, 2017.
icon Dong Shen, Chao Zhang, Yun Xu. Two Updating Schemes of Iterative Learning Control for Networked Control Systems with Random Data Dropouts. Information Sciences, vol. 381, pp. 352-370, 2017.
icon Dong Shen, Youqing Wang. Iterative Learning Control for Networked Stochastic Systems with Random Packet Losses. International Journal of Control, vol. 88, no. 5, pp. 959-968, 2015.
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Topic 2: ILC with Randomly Varying Lengths
ILC with varying lengths
Summary:
In this topic, we focus on the problem that the actual operation length varies in different iterations randomly. We have formulated the random iteration length by a random variable and established the strong convergence results using the probability theory. We have considered both discrete-time and continuous-time systems.
Representive publications:
icon Dong Shen, Xuefang Li. A Survey on Iterative Learning Control with Randomly Varying Trial Lengths: Model, Synthesis, and Convergence Analysis. Annual Reviews in Control, vol. 48, pp. 89-102, 2019.
icon Dong Shen, Samer S. Saab. Noisy Output Based Direct Learning Tracking Control with Markov Nonuniform Trial Lengths Using Adaptive Gains. IEEE Transactions on Automatic Control, vol. 67, no. 8, pp. 4123-4130, 2022.
icon Dong Shen,Jian-Xin Xu. Robust Learning Control for Nonlinear Systems with Nonparametric Uncertainties and Non-uniform Trial Lengths. International Journal of Robust and Nonlinear Control, vol. 29, no. 5, pp. 1302-1324, 2019.
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Dong Shen, Jian-Xin Xu. Adaptive Learning Control for Nonlinear Systems with Randomly Varying Iteration Lengths. IEEE Transactions on Neural Networks and Learning Systems, vol. 30, no. 4, pp. 1119-1132, 2019.
icon Dong Shen, Wei Zhang, Youqing Wang, Chiang-Ju Chien. On Almost Sure and Mean Square Convergence of P-type ILC Under Randomly Varying Iteration Lengths. Automatica, vol. 63, no. 1, pp. 359-365, 2016.
icon Xuefang Li, Dong Shen. Two Novel Iterative Learning Control Schemes for Systems with Randomly Varying Trial Lengths. Systems & Control Letters, vol. 107, pp. 9-16, 2017.
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Topic 3: ILC over Fading Channels
ILC with fading
Summary:
In this topic, we have studied iterative learning control design and analysis topics in the presence of fading channels. Here, by fading we imply the multiplicable randomness associated with the signals while transmitting over wireless networks.
Representive publications:
icon Dong Shen. Practical Learning-Tracking Framework Under Unknown Nonrepetitive Channel Randomness. IEEE Transactions on Automatic Control, early access.
icon Shunhao Huang, Dong Shen, JinRong Wang. Point-to-Point Learning Tracking Control via Fading Communication Using Reference Update Strategy. IEEE Transactions on Cybernetics, early access.
icon Ganggui Qu, Dong Shen, Xinghuo Yu. Batch-Based Learning Consensus of Multi-Agent Systems With Faded Neighborhood Information. IEEE Transactions on Neural Networks and Learning Systems, early access.
icon Dong Shen, Xinghuo Yu. Learning Control over Unknown Fading Channels Based on Iterative Estimation. IEEE Transactions on Neural Networks and Learning Systems, early access.
icon Dong Shen, Ganggui Qu, Xinghuo Yu. Averaging Techniques for Balancing Learning and Tracking Abilities Over Fading Channels. IEEE Transactions on Automatic Control, vol. 66, no. 6, pp. 2636-2651, 2021.
icon Dong Shen, Xinghuo Yu. Learning Tracking Control Over Unknown Fading Channels Without System Information. IEEE Transactions on Neural Networks and Learning Systems, vol. 32, no. 6, pp. 2721-2732, 2021.
icon Dong Shen, Ganggui Qu. Performance Enhancement of Learning Tracking Systems Over Fading Channels with Multiplicative and Additive Randomness. IEEE Transactions on Neural Networks and Learning Systems, vol. 31, no. 4, pp. 1196-1210, 2020.
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Topic 4: ILC with Quantization
ILC with quantization
Summary:
In this topic, we consider the problem that the signal is first quantized and then transimitted, so that the transmission burden can be effectively reduced for practical applications. In particular, we have proposed an error-quantization method to ensure zero-error tracking performance for static logarithm quantizer. We have also introduced an encoding and decoding mechanism for the simple uniform quantizer with a strict zero-error tracking performance analysis.
Representive publications:
icon Dong Shen, Niu Huo, Samer S. Saab. A Probabilistically Quantized Learning Control Framework for Networked Linear Systems. IEEE Transactions on Neural Networks and Learning Systems.
icon Dong Shen, Chao Zhang. Zero-Error Tracking Control under Unified Quantized Iterative Learning Framework via Encoding-Decoding Method. IEEE Transactions on Cybernetics, vol. 52, no. 4, pp. 1979-1991, 2022.
icon Niu Huo, Dong Shen. Encoding-decoding Mechanism-based Finite-level Quantized Iterative Learning Control with Random Data Dropouts. IEEE Transactions on Automation Science and Engineering, vol. 17, no. 3, pp. 1343-1360, 2020.
icon Dong Shen, Yun Xu. Iterative Learning Control for Discrete-time Stochastic Systems with Quantized Information. IEEE/CAA Journal of Automatica Sinica, vol. 3, no. 1, pp. 59-67, 2016.
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Topic 5: ILC for Multi-agent Systems
ILC with data dropouts
Summary:
In this topic, we have studied the learning consensus problem of multi-agent systems with output constraints. A general-type barrier function is introduced to solve the state/output constraints problem.
Representive publications:
icon Dong Shen, Jian-Xin Xu. Distributed Learning Consensus for Heterogenous High-Order Nonlinear Multi-Agent Systems with Output Constraints. Automatica, vol. 97, pp. 64-72, 2018.
icon Dong Shen, Chao Zhang, Jian-Xin Xu. Distributed Neural Networks Based Learning Consensus Control for Heterogeneous Nonlinear Multi-Agent Systems. International Journal of Robust and Nonlinear Control, vol. 29, no. 13, pp. 4328-4347, 2019.
icon Chen Liu, Dong Shen, JinRong Wang. Iterative Learning Control of Multi-Agent Systems under Communication Noises and Measurement Range Limitations. International Journal of Systems Science, vol. 50, no. 7, pp. 1465-1482, 2019.
icon Dong Shen, Jian-Xin Xu. Distributed Adaptive Iterative Learning Control for Nonlinear Multi-Agent Systems with State Constraints. International Journal of Adaptive Control and Signal Processing, vol. 31, no. 12, pp. 1779-1807, 2017.
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Topic 6: Point-to-Point ILC and Terminal ILC
point-to-point ILC
Summary:
In this topic, we consider the problem that the desired reference is a set of individual points/positions rather than a compelete trajectory. In this case, the input signal can be continuous, step-functions, and time-invariant. For point-to-point ILC problem, we have proposed an equivalent formulation of the problem and estibalished a stochastic approximation based framework. For terminal ILC problem, we have proposed an adaptive solution using neural networks.
Representive publications:
icon Dong Shen, Jian Han, Youqing Wang. Stochastic Point-to-Point Iterative Learning Tracking Without Prior Information on System Matrices. IEEE Transactions on Automation Science and Engineering, vol. 14, no. 1, pp. 376-382, 2017.
icon Yun Xu, Dong Shen, Xiao-Dong Zhang. Stochastic Point-to-Point Iterative Learning Control Based on Stochastic Approximation. Asian Journal of Control, vol. 19, no. 5, pp. 1748-1755, 2017.
icon Jian Han, Dong Shen, Chiang-Ju Chien. Terminal Iterative Learning Control for Discrete-Time Nonlinear Systems Based on Neural Networks. Journal of the Franklin Institute, vol. 355, no. 8, pp. 3641-3658, 2018.
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Topic 7: ILC for Stochastic Nonlinear Systems
ILC with data dropouts
Summary:
In this topic, we have studied various stochastic nonlinear systems, such as affine nonlinear systems with hard-nonlinearities (deadzone, saturation, and preload), Hammerstein-Wiener Systems, and large-scale systems. The stochastic approximation based framework for solving these systems are established.
Representive publications:
icon Dong Shen, Han-Fu Chen. ILC for Large Scale Nonlinear Systems with Observation Noise. Automatica, vol. 48, no. 3, pp. 577-582, 2012.
icon Dong Shen, Yutao Mu, Gang Xiong. Iterative Learning Control for Nonlinear Systems with Dead-zone Input and Time-delay in Presence of Measurement Noise. IET Control Theory and Applications, vol. 5, no. 12, pp. 1418-1425, 2011.
icon Dong Shen, Chao Zhang. Learning Control for Discrete-Time Nonlinear Systems With Sensor Saturation and Measurement Noise. International Journal of Systems Sciences, vol. 48, no. 13, pp. 2764-2778, 2017.
icon Dong Shen, Han-Fu Chen. A Kiefer-Wolfowitz Algorithm Based Iterative Learning Control for Hammerstein-Wiener Systems. Asian Journal of Control, vol. 14, no. 4, pp. 1070-1083, 2012.
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Topic 8: ILC with Sampled Data
ILC with data dropouts
Summary:
In this topic, we have established the upper bound estimation of interval tracking errors for sampled-data based ILC, which is the first time to give a sight beyond the at-sample performance in the existing literature.
Representive publications:
icon Yun Xu, Dong Shen, Youqing Wang. On Interval Tracking Performance Evaluation and Practical Varying Sampling ILC. International Journal of Systems Science, vol. 48, no. 8, pp. 1624-1634, 2017.
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Banner Funding
Projects
  1. Z210002, Mathematical Theory of Distributed Artificial Intelligence and Its Applications in Financial Risk Perception, Beijing Natural Science Foundation, 2021.8-2025.8
  2. 62173333, Framework and Techniques of Iterative Learning Control Based on System Cognition, National Natural Science Foundation of China, 2022.1-2025.12.
  3. 61673045, Robustness of Iterative Learning Control under Incomplete Data and Control System Design, National Natural Science Foundation of China, 2017.01-2020.12
  4. 4152040, Design and Analysis of Iterative Learning Control under Random Packet Losses, Beijing  Natural Science Foundation, 2015.01-2017.12
  5. 61304085, Design and Analysis of Iterative Learning Control Algorithms of Stochastic Systems for  Unusual Tracking References, National Natural Science Foundation of China, 2014.01-2016.12
  6. G-JG-XJ201404, Mathematics Competency Cultivation for Graduate Student in Automation Discipline, Beijing University of Chemical Technology, 2015.01-2016.12
  7. Advanced Iterative Learning Control, the High-Level Talents Launching Funds, Beijing University of Chemical Technology, 2012.07-2015.06
  8. ZY1318, Stochastic Iterative Learning Control for Iteration-Varying Reference Trajectories, Beijing University of Chemical Technology, 2013.01-2014.12


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