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decentralized adaptive synchronization OF A STOCHASTIC DISCRETE-TIME MULTIAGENT DYNAMIC MODEL

SIAM JOURNAL ON CONTROL AND OPTIMIZATION 2009年第2期48卷 859-880页

作者： Ma, Hong-Bin Natl Univ Singapore Temasek Labs Singapore 117508 Singapore

A decentralized adaptive synchronization problem for a simple yet nontrivial discrete-time stochastic model of network dynamics is investigated, which also illustrates a general framework for a class of adaptive control problems for complex systems with uncertainties. To describe synchronization phenomena in noisy environments, several new definitions of synchronization for stochastic systems are given and applied in our model. In the framework proposed, we prove that in four different cases on local goals, including "deterministic tracking," "center-oriented tracking," " loose tracking," and " tight tracking," under mild conditions on noise sequence and communication limits, the agents in the considered model can achieve global synchronization in sense of mean by using local estimators and controllers based on a least-squares (LS) algorithm. These results show that agents in a complex system disturbed by noise with communication limits can autonomously achieve the global goal of synchronization by using local LS-based adaptive controllers while they are pursuing for their local goals.

关键词： adaptive control decentralized adaptive synchronization network dynamics least-squares algorithm complex system discrete-time stochastic model coupling uncertainties

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decentralized adaptive synchronization of a Class of Discrete-Time Coupled Hidden Leader-Follower Multi-agent Systems 9th

Decentralized Adaptive Synchronization of a Class of Discret...

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9th International Conference on Modelling, Identification and Control (ICMIC)

作者： Zhang, Xinghong Ma, Hongbin Li, Nannan Yang, Chenguang Wu, Mei 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 Swansea Univ Zienkiewicz Ctr Computat Engn Swansea SA1 8EN W Glam Wales

ISBN: (纸本)9789811072123;9789811072116

In this paper, the challenging problem of decentralized adaptive control for a class of coupled hidden leader-follower multi-agent systems is studied. Each agent is described by a nonlinearly parameterized uncertain model in discrete time and can receive the history information from its own neighbors. The leader agent knows the desired reference trajectory, while other agents have no access to the desired reference signal. In order to tackle unknown internal parameters and unknown high-frequency gains, a projection-type parameter estimation algorithm is presented. Using the certainty equivalence principle and neighborhood history information, the decentralized adaptive control is designed, under which the boundedness of identification error is guaranteed with the help of the Lyapunov theory. Under some conditions, the whole multi-agent system eventually achieves strong synchronization in the presence of strong couplings. A simulation example is given to support the results of the proposed scheme based on the projection-type parameter estimation algorithm. Finally, we conduct the simulations using the combination of projection and one-step-guess method, which can also achieve the strong synchronization of the whole system.

关键词： decentralized adaptive synchronization Multi-agent system Leader-follower One-step-guess method Nonlinear parametric uncertainty Unknown high-frequency gain Discrete time

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decentralized adaptive synchronization of a Stochastic Discrete-Time Multiagent Dynamic Model

Decentralized Adaptive Synchronization of a Stochastic Discr...

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Joint 48th IEEE Conference on Decision and Control (CDC) / 28th Chinese Control Conference (CCC)

作者： Ma, Hongbin Beijing Inst Technol Sch Automat Beijing Peoples R China

ISBN: (纸本)9781424438723

A decentralized adaptive synchronization problem for a simple yet nontrivial discrete-time stochastic model of network dynamics is investigated, which also illustrates a general framework for a class of adaptive control problems for complex systems with uncertainties. To describe synchronization phenomena in noisy environments, several new definitions of synchronization for stochastic systems are given and applied in our model. Within this framework, we prove that in four different cases on local goals, including "deterministic tracking," "center-oriented tracking," " loose tracking," and " tight tracking," under mild conditions on noise sequence and communication limits, the agents in the considered model can achieve global synchronization in sense of mean by using local estimators and controllers based on a least-squares (LS) algorithm. These results show that agents in a complex system disturbed by noise with communication limits can autonomously achieve the global goal of synchronization by using local LS-based adaptive controllers while they are pursuing for their local goals.

关键词： adaptive control decentralized adaptive synchronization network dynamics least-squares algorithm complex system discrete-time stochastic model coupling uncertainties

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decentralized adaptive synchronization of a Class of Discrete-time Nonlinear Multi-agent Systems with Unknown Parameters and High-frequency Gains 9th

Decentralized Adaptive Synchronization of a Class of Discret...

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2017 9th International Conference on Modelling, Identification and Control (ICMIC 2017)

作者： Xinghong Zhang Hongbin Ma Chenguang Yang School of Automation Beijing Institute of Technology Zienkiewicz Centre for Computational Engineering Swansea University

ISBN: (纸本)9781509065769;9781509065752

This paper addresses the challenging problem of decentralized adaptive control for a class of coupled hidden leader-follower multi-agent systems,in which each agent is described by a nonlinearly parameterized uncertain model in discrete time and can interact with its neighbors via its available information on its *** of the agents is a leader,who knows the desired reference trajectory,while other agents have no access to the desired reference signal or are unaware of existence of the *** order to tackle unknown internal parameters and unknown high-frequency gains,a projectiontype parameter estimation algorithm is *** on the certainty equivalence principle and neighborhood history information,the decentralized adaptive control is designed,under which,the boundedness of identification error is guaranteed with the help of the Lyapunov *** some conditions,the multi-agent system eventually achieves strong synchronization in the presence of strong ***,a simulation example is given to support the results of the proposed scheme.

关键词： decentralized adaptive synchronization Multi-agent system Leader-follower Projection-type parameter estimation algorithm Nonlinear parametric uncertainty Unknown high-frequency gain

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decentralized adaptive synchronization of a Stochastic Discrete-Time Multiagent Dynamic Model

Decentralized Adaptive Synchronization of a Stochastic Discr...

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Joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference

作者： Hongbin Ma School of Automation Beijing Institute of Technology

A decentralized adaptive synchronization problem for a simple yet nontrivial discrete-time stochastic model of network dynamics is investigated, which also illustrates a general framework for a class of adaptive control problems for complex systems with uncertainties. To describe synchronization phenomena in noisy environments, several new definitions of synchronization for stochastic systems are given and applied in our model. Within this framework, we prove that in four different cases on local goals, including "deterministic tracking," "centeroriented tracking," "loose tracking," and "tight tracking,"under mild conditions on noise sequence and communication limits, the agents in the considered model can achieve global synchronization in sense of mean by using local estimators and controllers based on a least-squares(LS) algorithm. These results show that agents in a complex system disturbed by noise with communication limits can autonomously achieve the global goal of synchronization by using local LS-based adaptive controllers while they are pursuing for their local goals.

关键词： adaptive control decentralized adaptive synchronization network dynamics least-squares algorithm complex system discrete-time stochastic model coupling uncertainties

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