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作者:Fan, Yidian; Xu, Feng
作者单位:Tsinghua University; Tsinghua Shenzhen International Graduate School
摘要:This article establishes a mathematical framework for discrete-time linear time-invariant systems to compare the optimal state estimation performance of the set-membership estimator, set-valued observer, and interval observer in the polytopic representation. First, the ability of observer gains in reducing the conservatism of state estimation sets is characterized by the support function. Second, the optimal estimation results given by the set-valued and interval observers are derived rigorous...
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作者:Maghenem, Mohamed; Panteley, Elena; Loria, Antonio
作者单位:Communaute Universite Grenoble Alpes; Institut National Polytechnique de Grenoble; Universite Grenoble Alpes (UGA); Centre National de la Recherche Scientifique (CNRS); Centre National de la Recherche Scientifique (CNRS); Universite Paris Saclay
摘要:We investigate conditions under which heterogeneous nonlinear systems, interconnected over a directed static network, may achieve synchrony. Due to the network's heterogeneity, complete synchronization is impossible in general, but an emergent dynamics arises. This may be characterized by two dynamical systems evolving in two timescales. The first, which is slow, corresponds to the dynamics of the network on the synchronization manifold. The second, which is fast, corresponds to that of the sy...
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作者:Martin, Tim; Allgoewer, Frank
作者单位:University of Stuttgart
摘要:In the context of data-driven control of nonlinear systems, many approaches lack of rigorous guarantees, call for nonconvex optimization, or require knowledge of a function basis containing the system dynamics. To tackle these drawbacks, we establish a polynomial representation of nonlinear functions based on a polynomial sector by Taylor's theorem and a set-membership for Taylor polynomials. The latter is obtained from finite noisy samples. By incorporating the measurement noise, the error of...
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作者:Zheng, Kangze; Li, Shuai; Zhang, Yunong
作者单位:Sun Yat Sen University; University of Oulu; VTT Technical Research Center Finland
摘要:Nonlinear equation systems are ubiquitous in a variety of fields, and how to tackle them has drawn much attention, especially dynamic ones. As a particular class of recurrent neural network, the zeroing neural network (ZNN) takes time-derivative information into consideration, and thus, is a competent approach to dealing with dynamic problems. Hitherto, two kinds of ZNN models have been developed for solving systems of dynamic nonlinear equations. One of them is explicit, involving the computa...
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作者:Zorzi, Mattia
作者单位:University of Padua
摘要:Kernel-based methods have been successfully introduced in system identification to estimate the impulse response of a linear system. Adopting the Bayesian viewpoint, the impulse response is modeled as a zero mean Gaussian process whose covariance function (kernel) is estimated from the data. The most popular kernels used in system identification are the tuned-correlated (TC), the diagonal-correlated (DC) and the stable spline (SS) kernel. TC and DC kernels admit a closed-form factorization of ...
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作者:Li, Zhongkui; Jiao, Junjie; Chen, Xiang
作者单位:Peking University; Technical University of Munich; University of Windsor
摘要:This paper considers the distributed robust suboptimal consensus control problem of linear multi-agent systems, with both H-2 and H-infinity performance requirements. A novel two-step complementary design approach is proposed. In the first step, a distributed control law is designed for the nominal multi-agent system to achieve consensus with a prescribed H-2 performance. In the second step, an extra control input, depending on some carefully chosen residual signals indicating the modeling mis...
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作者:Niu, Yichun; Sheng, Li; Gao, Ming; Zhou, Donghua
作者单位:China University of Petroleum; Shandong University of Science & Technology
摘要:This article is concerned with the problem of fault detection (FD) for stochastic linear time-varying systems. The unified framework of the residual generator is constructed by using all currently available inputs and outputs, which can describe the existing observer-based methods and the parity space method. Then, the chi(2) test is introduced to evaluate the multivariate residual. In this article, the fault detector is said to be optimal if the missed detection rate (MDR) is minimal under a ...
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作者:Park, Nam-Jin; Kim, Yeong-Ung; Ahn, Hyo-Sung; Moore, Kevin L.
作者单位:Gwangju Institute of Science & Technology (GIST); Colorado School of Mines
摘要:In this article, we first establish definitions of structural controllability and strong structural observability for a single state node, based on the conditions of strong structural controllability and observability outlined in existing works. Second, we provide a necessary and sufficient condition for strongly structurally controllable (SSC) and strongly structurally observable (SSO) state nodes in acyclic graphs. Third, we provide the relationship between the conditions for SSC and SSO sta...
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作者:Yang, Yujie; Zhang, Yuhang; Zou, Wenjun; Chen, Jianyu; Yin, Yuming; Eben Li, Shengbo
作者单位:Tsinghua University; Tsinghua University; Zhejiang University of Technology
摘要:Safety is a critical concern when applying reinforcement learning to real-world control problems. A widely used method for ensuring safety is to learn a control barrier function with heuristic feasibility labels that come from expert demonstrations or constraint functions. However, their forward invariant sets fall short of the maximum feasible region because of inaccurate labels. This article proposes an algorithm called feasible region iteration (FRI) that learns the maximum feasible region ...
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作者:Impicciatore, Anastasia; Lun, Yuriy Zacchia; Pepe, Pierdomenico; D'Innocenzo, Alessandro
作者单位:University of L'Aquila
摘要:The communication links connecting components of wireless control systems may be affected by packet losses due to time-varying fading and interference. We consider a wireless control network with double-sided packet losses: on the sensor-controller link (sensing link) and the controller-actuator link (actuation link). We model the sensing and actuation links as finite-state Markov channels (FSMCs). One time-step delay affects the actuation link mode observation, while the sensing link mode obs...