Consensus of fractional multi-agent systems by distributed event-triggered strategy

Ren, Guojian; Yu, Yongguang; Xu, Conghui; Hai, Xudong

doi:10.1007/s11071-018-4580-8

Cited by 41 publications

(13 citation statements)

References 66 publications

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“…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. Ren et al (2019) have considered the consensus of fractional-order multi-agent systems based on distributed event-triggered mechanism. It is worth noting that there are no results about the stability analysis and synthesis of FOSS via event-triggered mechanism, not to mention FTS analysis.…”

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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“…Therefore, the question of how to achieve consensus for FOMASs has received much attention, and important developments involving leader-following group, cluster, finite-time, bipartite, group multiple lag and others have been presented. For example, nonlinear FOMASs with distributed input delays were considered in [12], a delay-dependent consensus condition for a class of linear FOMASs with distributed control containing input time-delay was proposed in [13], the event-triggered consensus for general linear FOMASs was investigated in [14,15] and the consensus of FOMASs without delay terms was studied in [16,17].…”

Section: Introductionmentioning

confidence: 99%

“…It should be mentioned that all works mentioned above focus only on the consensus regulation performance for FOMASs with the existence of time delays or/and nonlinearities [12][13][14][15][16][17][19][20][21][22]. However, energy consumption is an issue, and the so-called guaranteed cost control approach to tackle this problem, which considers the consensus regulation performance and the energy consumption at the same time, was proposed.…”

Section: Introductionmentioning

confidence: 99%

Guaranteed Cost Leaderless Consensus Protocol Design for Fractional-Order Uncertain Multi-Agent Systems with State and Input Delays

et al. 2021

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This paper addresses the guaranteed cost leaderless consensus of delayed fractional-order (FO) multi-agent systems (FOMASs) with nonlinearities and uncertainties. A guaranteed cost function for FOMAS is proposed to simultaneously consider consensus performance and energy consumption. By employing the linear matrix inequality approach and the FO Razumikhin theorem, a delay-dependent and order-dependent consensus protocol is formulated for FOMASs with input delay. The proposed protocol not only guarantees the robust stability of the closed-loop system error but also ensures that the performance degradation caused by the system uncertainty is lesser than that obtained with other approaches. Two numerical examples are provided in order to verify the effectiveness and accuracy of the proposed protocol.

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“…Since network control systems are affected by the limited bandwidth, packet losses and time-delay occur frequently in practical applications [1][2][3][4]. Considering the negative influence of these phenomena to system performance, event-triggered control (ETC) has been adopted widely as an effective method to save the communication resources [5][6][7][8][9][10][11]. Specially, different from the event-triggered mechanism in [5] requiring special hardwares to measure the states of system continuously, [6,7] put forward a periodic ETC strategy by combining ETC and traditional periodic sampling data control.…”

Section: Introductionmentioning

confidence: 99%

“…Specially, different from the event-triggered mechanism in [5] requiring special hardwares to measure the states of system continuously, [6,7] put forward a periodic ETC strategy by combining ETC and traditional periodic sampling data control. In [8], a self-triggered control (STC) scheme is presented instead of checking the triggering condition passively.…”

Section: Introductionmentioning

confidence: 99%

Event-triggered Control of Uncertain Nonlinear Discrete-time Systems with Extended State Observer

Wang

Shen

Park

2021

Preprint

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This paper is dedicated to extended state observer-based event-triggered model free iterative learning control (ET-MFILC) for nonlinear systems with disturbances. A modified MFILC scheme is proposed by using the estimated uncertainties for the disturbed system. With the help of the estimated errors, an iterative extended state observer (IESO) is constructed to estimate the unknown uncertainties. New triggering mechanism integrated true tracking errors, the estimated errors and the estimated uncertainties is designed for multiple inputs and multiple outputs (MIMO) systems. Sufficient conditions are proposed to make the resultant ET-MFILC tracking error systems be uniformly ultimately bounded. An illustrative example is presented to demonstrate the effectiveness of the proposed scheme.

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Consensus of fractional multi-agent systems by distributed event-triggered strategy

Cited by 41 publications

References 66 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

Guaranteed Cost Leaderless Consensus Protocol Design for Fractional-Order Uncertain Multi-Agent Systems with State and Input Delays

Event-triggered Control of Uncertain Nonlinear Discrete-time Systems with Extended State Observer

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