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Consecutive Synchronization of a Delayed Complex Dynamical Network via distributed adaptive control Approach

INTERNATIONAL JOURNAL OF control AUTOMATION AND SYSTEMS 2018年第6期16卷 2656-2664页

作者： Kazemy, Ali Cao, Jinde Tafresh Univ Dept Elect Engn Tafresh *** Iran Southeast Univ Sch Math Nanjing 210096 Jiangsu Peoples R China Nantong Univ Sch Elect Engn Nantong 226000 Peoples R China Shandong Normal Univ Sch Math Sci Jinan 250014 Shandong Peoples R China

In this paper, a consecutive synchronization scheme is investigated to synchronize the nodes of a delayed complex dynamical network with an isolated node via an adaptive control approach. The specific feature of this scheme consists in the structure of the communication links: a communication connection is required between the isolated node and one selected node in the network, and further communication links exist between any node and one neighbor node. In this way, all nodes are connected together like a chain. Based on Lyapunov-Krasovskii theory, some conditions are obtained in the form of linear matrix inequalities to guarantee the consecutive synchronization by the designed distributed adaptive control. To make this synchronization scheme more practical, no constraints have been considered for coupling connection matrix such as being symmetric or zero row sum. Finally, a numerical example is presented to demonstrate the effectiveness of the proposed method.

关键词： Complex dynamical network distributed adaptive control Lyapunov-Krasovskii theory synchronization time-delay

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A biologically based model for the integration of sensory-motor contingencies in rules and plans: A prefrontal cortex based extension of the distributed adaptive control architecture

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BRAIN RESEARCH BULLETIN 2011年第5期85卷 289-304页

作者： Duff, Armin Sanchez Fibla, Marti Verschure, Paul F. M. J. UPF Dept Technol SPECS IUA E-08018 Barcelona Spain UNI ETH Zurich INI Inst Neuroinformat CH-8057 Zurich Switzerland ICREA E-08010 Barcelona Spain

Intelligence depends on the ability of the brain to acquire and apply rules and representations. At the neuronal level these properties have been shown to critically depend on the prefrontal cortex. Here we present, in the context of the distributed adaptive control architecture (DAC), a biologically based model for flexible control and planning based on key physiological properties of the prefrontal cortex, i.e. reward modulated sustained activity and plasticity of lateral connectivity. We test the model in a series of pertinent tasks, including multiple T-mazes and the Tower of London that are standard experimental tasks to assess flexible control and planning. We show that the model is both able to acquire and express rules that capture the properties of the task and to quickly adapt to changes. Further, we demonstrate that this biomimetic self-contained cognitive architecture generalizes to planning. In addition, we analyze the extended DAC architecture, called DAC 6, as a model that can be applied for the creation of intelligent and psychologically believable synthetic agents. (C) 2010 Elsevier Inc. All rights reserved.

关键词： Rule learning and switching Planning distributed adaptive control Autonomous synthetic agents Model Prefrontal cortex

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Design of distributed adaptive control for a Class of Discrete -time Multi-agent Systems with Nonlinearity and Uncertainty 30

Design of Distributed Adaptive Control for a Class of Discre...

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30th Chinese control and Decision Conference (CCDC)

作者： Li, Nannan Ma, Hongbin Zhang, Xinghong Beijing Inst Technol Sch Automat Beijing 100081 Peoples R China

ISBN: (纸本)9781538612446

In this paper, a distributed adaptive control method is considered for a class of discrete-time multi-agent systems with nonlinearity and uncertainty. Each agent is affected by its neighbors, and there is a hidden agent as the leader in multi-agent systems who knows the desired reference signal. However, other agents are aware of neither the reference signal nor the existence of the hidden leader and leadership. In order to deal with uncertainty, a criteria function for each agent, which is consist of a weighted square combination of state errors and parameter errors with timevarying weighting factor, is adopted. By minimizing the criteria function, we propose a projection algorithm for each agent to estimate unknown parameters. Furthermore, we design a distributed adaptive controller for each agent using the information of its neighbors. Under the distributed adaptive control, the rigorous mathematical proof is presented to demonstrate that all the agents ultimately track the desired reference signal. FinAy, simulation results are given to illustrate the theoretical results.

关键词： distributed adaptive control Projection Algorithm Nonlinear and Uncertain dynamics Discrete Time

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distributed adaptive containment control for a class of discrete-time nonlinear multi-agent systems with uncertainties

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INTERNATIONAL JOURNAL OF control 2021年第8期94卷 2186-2199页

作者： Li, Nannan Ma, Hongbin Du, Changkun Zhang, Xinghong Liu, Xiaomeng Beijing Inst Technol Sch Automat Beijing 100081 Peoples R China Beijing Inst Technol State Key Lab Intelligent Control & Decis Complex Beijing 100081 Peoples R China Anyang Normal Univ Sch Math & Stat Anyang Peoples R China Natl Inst Metrol Beijing Peoples R China

A distributed adaptive containment control scheme is developed for a class of discrete-time multi-agent systems (MASs) under directed graphs. Each agent's model is described by nonlinear dynamics with unknown parameters that are nonlinearly coupled with the states. To deal with the uncertainties, a criterion function with weighted factor is adopted. By minimising the criterion function, a projection algorithm for each agent is designed to estimate the unknown parameters. Using the estimated parameters, an adaptive controller with only local information is designed for each agent to achieve containment control of MASs. Under the proposed distributed adaptive containment control scheme, it is guaranteed that all the leaders can finally track their reference signals and all the states of followers asymptotically converge to the convex hull formed by leaders (i.e. the convex hull formed by the reference signals). Finally, two simulation examples are given to illustrate the effectiveness of the proposed scheme.

关键词： Multi-agent systems containment control distributed adaptive control discrete-time nonlinearity and uncertainty

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distributed adaptive consensus control for high-order multiple non-holonomic systems

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INTERNATIONAL JOURNAL OF control 2020年第9期93卷 2212-2227页

作者： Gu, Jianzhong Li, Wuquan Yang, Hongyong Ludong Univ Sch Math & Stat Yantai 264025 Peoples R China Ludong Univ Sch Informat Sci & Engn Yantai Peoples R China

In this paper, we investigate the consensus problem for high-order multiple non-holonomic systems, in which the leader's reference input signals are unknown to all the followers. Under the assumption that the leader is the root of a spanning tree, by using the backstepping design method, distributed adaptive controllers are constructed recursively. To assure the stability of the overall scheme, projection techniques are employed to modify the uncertain parameters of the desired trajectory. By using algebraic graph theory and Lyapunov theory, it is shown that all closed-loop signals are bounded, and the followers' states converge to the desired reference trajectory asymptotically. Finally, simulation examples are given to show the effectiveness of the proposed control scheme.

关键词： High-order multiple non-holonomic systems distributed adaptive control consensus projection technique

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Design of distributed adaptive control for a Class of Discrete-time Multi-agent Systems with Nonlinearity and Uncertainty

Design of Distributed Adaptive Control for a Class of Discre...

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第30届中国控制与决策会议

作者： Nannan Li Hongbin Ma Xinghong Zhang School of Automation Beijing Institute of Technology

In this paper, a distributed adaptive control method is considered for a class of discrete-time multi-agent systems with nonlinearity and uncertainty. Each agent is affected by its neighbors, and there is a hidden agent as the leader in multi-agent systems who knows the desired reference signal. However, other agents are aware of neither the reference signal nor the existence of the hidden leader and leadership. In order to deal with uncertainty, a criteria function for each agent, which is consist of a weighted square combination of state errors and parameter errors with timevarying weighting factor, is adopted. By minimizing the criteria function, we propose a projection algorithm for each agent to estimate unknown parameters. Furthermore, we design a distributed adaptive controller for each agent using the information of its neighbors. Under the distributed adaptive control, the rigorous mathematical proof is presented to demonstrate that all the agents ultimately track the desired reference signal. Finally, simulation results are given to illustrate the theoretical results.

关键词： distributed adaptive control Projection Algorithm Nonlinear and Uncertain dynamics Discrete Time

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distributed adaptive tracking control for high-order multi-agent systems with unknown dynamics

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INTERNATIONAL JOURNAL OF control 2017年第9期90卷 1925-1934页

作者： Gu, Jianzhong Li, Wuquan Yang, Hongyong Ludong Univ Sch Math & Stat Sci Yantai Peoples R China Ludong Univ Sch Informat & Elect Engn Yantai Peoples R China

In this paper, we investigate the adaptive tracking problem of high-order multi-agent systems with unknown parameters and unknown nonlinear functions. Under the assumption that the leader is the root of a spanning tree, a distributed adaptive controller with tuning function is constructed recursively based on backstepping design method. The designed controller can guarantee that the tracking errors and the parameter errors eventually converge to an arbitrarily small compact set by choosing design parameters. A simulation example demonstrates the effectiveness of the design scheme.

关键词： distributed adaptive control nonlinear parameterisation high-order multi-agent systems

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Coordinated distributed adaptive perimeter control for large-scale urban road networks

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TRANSPORTATION RESEARCH PART C-EMERGING TECHNOLOGIES 2017年第Apr.期77卷 495-515页

作者： Haddad, Jack Mirkin, Boris Technion Israel Inst Technol Fac Civil & Environm Engn Technion Sustainable Mobil & Robust Transportat T Haifa Israel

Perimeter traffic control for large-scale urban road networks has been studied by several researchers during the last decade. Recently, the initial steps towards taking into account model's uncertainties under control synthesis were made in Haddad and Shraiber (2014) and Haddad (2015), where by considering one- and multi- region control problem, respectively, a robust perimeter control has been designed to systematically take into account uncertainties in MFD-based dynamics, e.g. the MFD scatter. The robust control design can provide a fixed controller with constant gains to compensate all uncertainties, following the worst case scenario concept. In this paper, an adaptive control scheme is developed. Similarly to robust control, the developed adaptive control scheme postulates one controller structure, however, the controllers' gains vary with time to adapt themselves against the model parameter uncertainties. In this paper, in order to accommodate uncertainties and take into consideration the restrictions on the available information, we deal with the adaptive perimeter control problem for multi-region MFD systems, which have an interconnected structure composing several homogeneous regions. Unlike previous works that assume centralized approach, where feedback informations are needed from all urban regions, in this paper we follow a coordinated distributed control approach, where regional control laws are developed depending on (i) real on-line local information of the region, i.e. regional accumulation and its perimeter control input only, and (ii) reference signal information forwarded to all distributed perimeter controllers by a high level coordinator controller. (C) 2016 Elsevier Ltd. All rights reserved.

关键词： Macroscopic fundamental diagram Perimeter control distributed adaptive control

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Recent advances in distributed adaptive consensus control of uncertain nonlinear multi-agent systems

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Journal of control and Decision 2020年第1期7卷 44-63页

作者： Wei Wang Jiang Long Changyun Wen Jiangshuai Huang School of Automation Science and Electrical Engineering Beihang UniversityBeijing 100191People’s Republic of China Beijing Advanced Innovation Center for Big Data and Brain Computing Beihang UniversityBeijing 100191People’s Republic of China School of Electrical and Electronic Engineering Nanyang Technological UniversitySingaporeSingapore School of Automation Chongqing UniversityChongqingPeople’s Republic of China

So far,distributed adaptive consensus problems for uncertain nonlinear multi-agent systems have not yet been extensively *** with centralised adaptive control,some new challenges need to be well addressed,for examples,(i)how to reach asymptotically consensus tracking with directed topology condition,by using totally distributed adaptive control strategies;(ii)how to ensure globally uniform boundedness of closed-loop systems while achieving leaderless consensus with semi-positive definite Laplacian matrix;(iii)how to maintain system performance while effectively reducing the communication burden among connected *** paper is mainly devoted to report some recent advances in distributed adaptive consensus ***,some interesting research topics which are worthy of further investigation will also be discussed.

关键词： distributed adaptive control consensus nonlinear multi-agent systems uncertainties

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distributed adaptive perimeter control for large-scale urban road networks with delayed state interconnections

Distributed adaptive perimeter control for large-scale urban...

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20th World Congress of the International-Federation-of-Automatic-control (IFAC)

作者： Zheng, Zhengfei Haddad, Jack Technion Israel Inst Technol Technion Sustainable Mobil & Robust Transportat T Fac Civil & Environm Engn Haifa Israel

distributed adaptive perimeter control is a promising paradigm for controlling large-scale road networks. Recently, coordinated distributed perimeter control of interconnected urban road regions has been developed in Haddad and Mirkin (2015). A Macroscopic Fundamental Diagram (MFD)-based model was utilized to describe the aggregate traffic flow dynamics, and model reference adaptive control was implemented to control the distributed perimeter controllers. Previous works, including Haddad and Mirkin (2015), implicitly postulated that during the control process, all needed information for computing are obtained in real time and processed instantly. However, collecting, processing, and uploading traffic data in a large-scale urban road networks impose time delays. Towards developing realistic aggregate models and improving perimeter control algorithms, the current paper aims at addressing the existence of such time delays. Hence, delayed state interconnections are incorporated in the dynamic equations to model data processing and communication delays between surrounding interconnected regions. Based on developed model, distributed perimeter control scheme in presence of time delays in interconnections is implemented. (C) 2017, IFAC (International Federation of Automatic control) Hosting by Elsevier Ltd. All rights reserved.

关键词： distributed adaptive control MFD delayed interconnections

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