Event-triggered stochastic consensus for networked Lagrangian systems with semi-Markov switching topologies and communication delays

In this paper, the event-triggered stochastic consensus for networked Lagrangian systems with semi-Markov switching topologies and communication delays is considered. An event-triggered sampling control strategy is used to design the distributed stochastic consensus scheme of networked Lagrangian systems for two cases with leader and leaderless. Two delay-dependent consensus criteria are derived in the sense of mean square by use of a suitable Lyapunov-Krasovskii functional and the stochastic delayed Halanay inequality, respectively. A key feature of the developed event-triggered consensus algorithm is to introduce a suitable adjustment parameter on consensus control gains characterizing the effect of both semi-Markov switching topology and communication delay. Finally, a numerical example of four manipulators with two links is presented to illustrate the effectiveness of the developed event-triggered methodology.

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Event-triggered leader-following consensus for multi-agent systems with semi-Markov switching topologies

Information Sciences ◽

10.1016/j.ins.2018.04.054 ◽

2018 ◽

Vol 459 ◽

pp. 290-301 ◽

Cited By ~ 36

Author(s):

Jiangtao Dai ◽

Ge Guo

Keyword(s):

Markov Switching ◽

Multi Agent Systems ◽

Agent Systems ◽

Switching Topologies ◽

Leader Following ◽

Multi Agent ◽

Event Triggered

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H∞ Consensus Control for Heterogeneous Multi-Agent via Output under Markov Switching Topologies

Electronics ◽

10.3390/electronics7120453 ◽

2018 ◽

Vol 7 (12) ◽

pp. 453 ◽

Cited By ~ 3

Author(s):

Guoying Miao ◽

Gang Li ◽

Tao Li ◽

Yunping Liu

Keyword(s):

Markov Switching ◽

Sufficient Conditions ◽

Consensus Algorithm ◽

Multi Agent Systems ◽

Analysis Model ◽

Consensus Control ◽

Switching Topologies ◽

Communication Time ◽

Multi Agent ◽

General Kind

The paper investigates H ∞ consensus problem of heterogeneous multi-agent systems including agents with first- and second-order integrators in the presence of disturbance and communication time delays under Markov switching topologies. Based on current messages, outdated information stored in memory and communication time delay information from neighbors, a more general kind of distributed consensus algorithm is proposed, which is faster consensus convergence. By applying stochastic stability analysis, model transformation techniques and graph theory, sufficient conditions of mean square consensus and H ∞ consensus are obtained, respectively. Finally, simulation examples are given to illustrate the effectiveness of obtained theoretical results.

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Adaptive synchronization of networked Lagrangian systems with irregular communication delays

2012 IEEE 51st IEEE Conference on Decision and Control (CDC) ◽

10.1109/cdc.2012.6426207 ◽

2012 ◽

Cited By ~ 5

Author(s):

Abdelkader Abdessameud ◽

Ilia G. Polushin ◽

Abdelhamid Tayebi

Keyword(s):

Adaptive Synchronization ◽

Lagrangian Systems ◽

Communication Delays ◽

Networked Lagrangian Systems

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Distributed event triggered H∞ filtering with nonhomogeneous Markov switching topologies

2016 UKACC 11th International Conference on Control (CONTROL) ◽

10.1109/control.2016.7737572 ◽

2016 ◽

Author(s):

Wen Song ◽

Hao Zhang ◽

Huaicheng Yan ◽

Chen Peng

Keyword(s):

Markov Switching ◽

Switching Topologies ◽

Event Triggered

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Finite-time synchronization for complex dynamic networks with semi-Markov switching topologies: An H∞ event-triggered control scheme

Applied Mathematics and Computation ◽

10.1016/j.amc.2019.03.037 ◽

2019 ◽

Vol 356 ◽

pp. 235-251 ◽

Cited By ~ 16

Author(s):

Jing Wang ◽

Tingting Ru ◽

Jianwei Xia ◽

Yunliang Wei ◽

Zhen Wang

Keyword(s):

Finite Time ◽

Time Synchronization ◽

Markov Switching ◽

Dynamic Networks ◽

Complex Dynamic ◽

Switching Topologies ◽

Control Scheme ◽

Event Triggered

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Stability analysis of decentralized event-triggered H∞ control using the quadratic convex approach

Transactions of the Institute of Measurement and Control ◽

10.1177/0142331216650020 ◽

2016 ◽

Vol 40 (1) ◽

pp. 80-93 ◽

Cited By ~ 4

Author(s):

Fuqiang Li ◽

Jingqi Fu ◽

Dajun Du

Keyword(s):

Stability Analysis ◽

Convex Combination ◽

Sufficient Conditions ◽

Scalar Function ◽

Delay System ◽

Communication Delays ◽

Information Communication ◽

The Stability ◽

Delay Dependent ◽

Event Triggered

This paper studies the stability analysis of the decentralized event-triggered H∞ control with communication delays using the quadratic convex approach. Unlike the decentralized event-triggered mechanism (ETM), which only uses the information from the sensor itself by considering the communication topology of the wireless sensor network, a more general decentralized ETM is first proposed by using the information from both the sensor itself and its neighbours. Then, a time-delay system model with parameters of the decentralized ETM, directed graph information, communication delays and external disturbances is presented. In addition, novel delay-dependent asymptotic stability criteria are derived by using the augmented Lyapunov–Krasovski functional (LKF), which contains the cross terms of variables and quadratic terms multiplied by a higher degree scalar function. Unlike some prior results using the first-order convex combination property, our derivation applies the quadratic convex approach with the augmented LKF, which results in less conservatism. Moreover, sufficient conditions for the co-design of the controller and the decentralized ETM are obtained. Finally, numerical examples confirm the effectiveness of the proposed method.

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