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Lower bound of tracking performance with finite control energy and channel energy constraint

控制理论与应用（英文版） 2013年第3期11卷 409-414页

作者： Baoxian WANG Zhihong GUAN Fushun YUAN Xisheng ZHAN College of Automation Huazhong University of Science and Technology School of Mathematics and Statistics Anyang Normal University College of Mechatronics and control Engineering Hubei Normal University

This paper studies the tracking performance of the single-input single-output （SISO）, finite dimensional, linear and time-invariant （LTI） system over an additive white Gaussian noise （AWGN） channel with finite control energy and channel input energy constraint. A new performance index is proposed which is minimized over all stabilizing two-degree-of-freedom controllers. The explicit expressions of the lower bound of the tracking performance and the minimum of signal-to-noise required are obtained. The results show that the lower bound is correlated to the unstable pole, nonminimum phase zero and the channel scaling factor. Finally, one example is given to validate the conclusions by adopting the special inner-outer factorization.

关键词： Optimal performance control energy Channel energy constraint Gaussian noise

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Improving the control energy in Model Reference Adaptive controllers Using Fractional Adaptive Laws

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IEEE/CAA Journal of Automatica Sinica 2016年第3期3卷 332-337页

作者： Norelys Aguila-Camacho Manuel A.Duarte-Mermoud Department of Electrical Engineering and the Advanced Mining Technology Center University of Chile IEEE

This paper presents the analysis of the control energy consumed in model reference adaptive control(MRAC)schemes using fractional adaptive laws, through simulation studies. The analysis is focused on the energy spent in the control signal represented by means of the integral of the squared control input(ISI). Also, the behavior of the integral of the squared control error(ISE) is included in the *** orders of the adaptive laws were selected by particle swarm optimization(PSO), using an objective function including the ISI and the ISE, with different weighting factors. The results show that, when ISI index is taken into account in the optimization process to determine the orders of adaptive laws,the resulting values are fractional, indicating that control energy of the scheme might be better managed if fractional adaptive laws are used.

关键词： control energy fractional adaptive laws modelreference adaptive control

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维普期刊数据库

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controllability Gramian-based measures of graph product networks

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Science China(Information Sciences) 2024年第10期67卷 315-331页

作者： Yuequan XIANG Linying XIANG School of Information Science and Engineering Northeastern University School of Artificial Intelligence Tiangong University

This paper addresses the controllability measures of composite networks based on graph products, in which the graph product networks are either Kronecker product networks or Kronecker sum *** primary objective pursued here is to reveal the controllability Gramian-based measure links between the graph product composite network and its subnetworks. First, the analytical expression of the average controllability for the Kronecker product network is derived by using the corresponding controllability measures of its subnetworks. An upper bound of volumetric control energy is further obtained for the Kronecker product network. Then, the upper bounds are derived for the controllability measures of the Kronecker sum network,which provide a valuable reference for designing controllable networks in practical applications. Finally, the controllability of the Kronecker product network is compared with that of the Kronecker sum network, and it is found that when the subnetworks satisfy certain conditions, the Kronecker product network has better average controllability than the Kronecker sum network.

关键词： composite network graph product controllability Gramian-based measure average controllability control energy

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Analysis of cut vertex in the control of complex networks

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Chinese Physics B 2023年第2期32卷 574-579页

作者：周洁袁诚钱祖燏汪秉宏聂森 School of Electrical and Automation Engineering East China Jiaotong UniversityNanchang 330013China Department of Modern Physics University of Science and Technology of ChinaHefei 230026China

The control of complex networks is affected by their structural characteristic. As a type of key nodes in a network structure, cut vertexes are essential for network connectivity because their removal will disconnect the network. Despite their fundamental importance, the influence of the cut vertexes on network control is still uncertain. Here, we reveal the relationship between the cut vertexes and the driver nodes, and find that the driver nodes tend to avoid the cut ***, driving cut vertexes reduce the energy required for controlling complex networks, since cut vertexes are located near the middle of the control chains. By employing three different node failure strategies, we investigate the impact of cut vertexes failure on the energy required. The results show that cut vertex failures markedly increase the control energy because the cut vertexes are larger-degree nodes. Our results deepen the understanding of the structural characteristic in network control.

关键词： cut vertex controllability control energy structural characteristic complex networks

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