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作者:Ma, Xuehui; Zhang, Shiliang; Sun, Zhiyong; Zhang, Xiaohui; Maharjan, Sabita
作者单位:Xi'an University of Technology; University of Oslo; Peking University
摘要:Despite the celebrated success of stochastic control approaches for uncertain systems, such approaches are limited in the ability to handle non-Gaussian uncertainties. This work presents an adaptive robust control for linear uncertain systems, whose process noise, observation noise, and system states are depicted by ellipsoid sets rather than Gaussian distributions. We design an ellipsoid-set learning method to estimate the boundaries of state sets, and incorporate the learned sets into the co...
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作者:Zhang, Liping; Li, Hongdan; Zhang, Huanshui; Xie, Lihua
作者单位:Shandong University of Science & Technology; Shandong University; Nanyang Technological University
摘要:This article provides a new perspective for solving the consensus problem of heterogeneous multiagent systems with the aid of linear quadratic optimal control. It differs from the existing consensus control for heterogeneous systems, where a reference generator must be designed, leading to a more complex design than that of the homogeneous case. This article develops a distributed asymptotically optimal consensus controller by designing a novel type of observer and feedforward controller. The ...
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作者:Kawano, Yu; Sun, Zhiyong
作者单位:Hiroshima University; Peking University
摘要:In this article, we exploit a diagonally dominant structure for decentralized stabilization of unknown nonlinear time-delayed networks. To this end, we first introduce a novel generalization of virtual contraction analysis to diagonally dominant time-delayed nonlinear control systems. We then show that nonlinear time-delayed networks can be stabilized using diagonal high-gains, provided that the input matrices satisfy certain generalized (column/row) diagonally dominant conditions. To enable s...
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作者:Ma, Haoran; Zhao, Zhengen; Liang, Dingguo; Yang, Ying
作者单位:State Grid Corporation of China; China Electric Power Research Institute (CEPRI); Nanjing University of Aeronautics & Astronautics; Peking University
摘要:This article investigates the linear quadratic control problem with both process and measurement noise using reinforcement learning. Instead of requiring a system model or real-time controller updates, the proposed approach derives the optimal controller from offline and noise-corrupted data. A key contribution is the formulation of the Bellman optimality equation with a correction term that compensates for the bias introduced by process and measurement noise. This addresses the limitations of...
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作者:Chu, Minghui; Huo, Xin; Ebenbauer, Christian; Ma, Kemao
作者单位:Harbin Institute of Technology; RWTH Aachen University
摘要:In this article, an adaptive accelerated derivative-free optimization algorithm is developed. A composition of noncommutative maps based on objective function evaluations is used to approximate an accelerated gradient descent algorithm with a momentum term. An adaptive step-size rule and an adaptive momentum term are introduced to improve the algorithm's performance in terms of convergence speed and steady-state accuracy. Semi-global asymptotic stability of the proposed algorithm is proved for...
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作者:Huang, Zixin; Zhou, Sai; Song, Jun; Shu, Zhan
作者单位:Wuhan Institute of Technology; Xi'an Jiaotong University; Anhui University; University of Alberta
摘要:This article focused on designing the super-twisting algorithm (STA)-based output-feedback sliding mode control (SMC) for multi-input Markovian jump systems under digital channel transmission. Specifically, the uniform quantization strategy is employed to implement the network communication for both the measured outputs and the sliding variables. It is shown that the novel quantized-data-based output-feedback STA can guarantee the practical reachability of the sliding variable with probability...
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作者:Noori, Sahel Vahedi; Hu, Bin; Dullerud, Geir; Seiler, Peter
作者单位:University of Michigan System; University of Michigan; University of Illinois System; University of Illinois Urbana-Champaign; University of Minnesota System; University of Minnesota Twin Cities
摘要:This article derives a complete set of quadratic constraints (QCs) for the repeated ReLU. The complete set of QCs is described by a collection of matrix copositivity conditions. We also show that only two functions satisfy all QCs in our complete set: the repeated rectified linear unit (ReLU) and flipped ReLU. Thus, our complete set of QCs bounds the repeated ReLU as tight as possible up to the sign invariance inherent in quadratic forms. We derive a similar complete set of incremental QCs for...
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作者:Ren, Hao; Ma, Yajie; Jiang, Bin; Polycarpou, Marios M.; Panayiotou, Christos
作者单位:Nanjing University of Aeronautics & Astronautics; University of Cyprus; University of Cyprus
摘要:This article presents a distributed fault-tolerant control design for nonlinear second-order multiagent systems affected by communication faults caused by malicious cyber-attacks or intentional interference. The approach is implemented in two steps. First, a zero-sum differential game framework is established, where virtual controllers and fault-induced biases are treated as opposing players, minimizing and maximizing cost functions related to local tracking performance and fault tolerance. Se...
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作者:Li, Xu; Li, Xu-Guang; Zhang, Lu; Chen, Jun-Xiu
作者单位:Nanjing University of Posts & Telecommunications; Northeastern University - China; Northeastern University - China; Northeastern University - China; Dalian Polytechnic University
摘要:The frequency-sweeping approach is an important and well-known tool for stability analysis of time-delay systems with commensurate delays. However, when it is used to detect critical imaginary roots (CIRs), the accuracy is regarded to be highly related to the numerical grid for sweeping the frequency axis. To the best of the authors' knowledge, the characterization of CIRs for most reported approaches has not reached a completely algebraic level. In this article, we introduce a polynomial alge...
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作者:Verges, Fortia V.; Fragoso, Marcelo D.; Costa, Oswaldo Luiz do Valle
作者单位:Laboratorio Nacional de Computacao Cientifica (LNCC); Universidade de Sao Paulo
摘要:The purpose of this article is to derive an optimal linear filter and its associated stationary filter for hidden phase-type (PH) semi-Markov models. We formulate the PH semi-Markov model as an equivalent Markov process with two components, the first one representing the mode of the semi-Markov process, and the second one associated with the transient states (phases). It is worth mentioning that PH distributions can approximate (in the weak convergence sense) any distribution with nonzero dens...