Consensus of fractional-order multiagent system via sampled-data event-triggered control

Chen, Yiwen; Wen, Guoguang; Peng, Zhaoxia; Rahmani, Ahmed

doi:10.1016/j.jfranklin.2018.01.043

Cited by 31 publications

(8 citation statements)

References 35 publications

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“…For event-triggered switched systems, there have been some meaningful results (Li and Fu, 2017;Liu X et al, 2019;Qi et al, 2019). On the other hand, only a few results about fractional-order systems have appeared and most of them are focused on fractional-order multi-agent systems (Chen et al, 2019;Hu et al, 2020;Wang and Yang, 2017). For example, in Ye and Su (2018), based on the event-triggered mechanism, the problem of the leaderfollowing consensus of fractional multi-agent systems with input delay has been studied.…”

Section: Introductionmentioning

confidence: 99%

Guaranteed cost and finite-time event-triggered control of fractional-order switched systems

Shang

Liu

et al. 2021

Transactions of the Institute of Measurement and Control

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This paper considers the problem of guaranteed cost and finite-time event-triggered control of fractional-order switched systems. Firstly, an event-triggered scheme including both the information of current state and an exponential decay function is proposed, and a novel cost function that adopts the characteristics of fractional-order integration is presented. Secondly, some sufficient conditions are derived to guarantee that the corresponding closed-loop system is finite-time stable with a certain cost upper bound, using multiple Lyapunov functions and average dwell time approach. Meanwhile, the event-triggered parameters and state feedback gains are simultaneously obtained via solving linear matrix inequalities. Moreover, Zeno behavior does not exist by finding a positive lower bound of the triggered interval. Finally, an example about fractional-order switched electrical circuit is provided to show the effectiveness of the proposed method.

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Section: Introductionmentioning

confidence: 99%

Guaranteed cost and finite-time event-triggered control of fractional-order switched systems

Shang

Liu

et al. 2021

Transactions of the Institute of Measurement and Control

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“…Most real systems mainly have fractional behavior, so it could be worthwhile to describe them with fractional operators. Fractional calculus developed new mathematical tools better describing real-world systems, in comparison with traditional integer-order derivative equations (Chen et al, 2019; Zhu et al, 2017). A basic issue in control theory to develop solutions for control objectives is to have an accurate model of the systems (Ding et al, 2021; Kazemi et al, 2019; Khankalantary et al, 2021; Mao et al, 2021).…”

Section: Introductionmentioning

confidence: 99%

Consensus of a class of nonlinear fractional-order multi-agent systems via dynamic output feedback controller

Zavvari

Badri

Sojoodi

2021

Transactions of the Institute of Measurement and Control

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This paper addresses the consensus of a class of nonlinear fractional-order multi-agent systems (FOMASs) with positive real uncertainty. First, a fractional non-fragile dynamic output feedback controller is put forward via the output measurements of neighboring agents, then appropriate state transformation reduced the consensus problem to a stability one. A sufficient condition based on direct Lyapunov approach, for the robust asymptotic stability of the transformed system and subsequently for the consensus of the main system is presented. In addition, utilizing S-procedure and Schur complement, the systematic stabilization design algorithm is proposed for fractional-order system with and without nonlinear terms. The results are formulated as an optimization problem with linear matrix inequality constraints. Simulation results are given to verify the effectiveness of the theoretical results.

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“…In [24], consensus of linear fractional-order multi-agent systems over a communication topology, whose coupling structure is not necessary to be Laplacian, is studied. Event-triggering sampled-data control of fractional-order multi-agent systems is proposed in [25], in which the networked graph for the agents is assumed to be undirected.…”

Section: Introductionmentioning

confidence: 99%

Sampled-Data Control Based Consensus of Fractional-Order Multi-Agent Systems

Li,

Wen,

Liu

2020

Preprint

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In this paper, we investigate consensus control of fractional-order multi-agent systems with order in (0, 1) via sampled-data control. A new scheme to design distributed controllers with rigorous analysis is presented by utilizing the unique properties of fractional-order calculus, namely hereditary and infinite memory. It is established that global boundedness of all closed-loop signals is ensured and asymptotic consensus is realized. Simulation studies are conducted to illustrate the effectiveness of the proposed control method and verify the obtained results.

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Consensus of fractional-order multiagent system via sampled-data event-triggered control

Cited by 31 publications

References 35 publications

Guaranteed cost and finite-time event-triggered control of fractional-order switched systems

Guaranteed cost and finite-time event-triggered control of fractional-order switched systems

Consensus of a class of nonlinear fractional-order multi-agent systems via dynamic output feedback controller

Sampled-Data Control Based Consensus of Fractional-Order Multi-Agent Systems

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