Leader-Following Group Consensus of Discrete-Time Fractional-Order Multi-Agent Systems with Time-Delay

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Shahamatkhah E.; TABATABAEI M.

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Journal: TABRIZ JOURNAL OF ELECTRICAL ENGINEERING Year:2020 | Volume:50 | Issue:1 (91) Page(s): 253-267

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Information Journal Paper

Title

Leader-Following Group Consensus of Discrete-Time Fractional-Order Multi-Agent Systems with Time-Delay

Author(s)

Shahamatkhah E. | TABATABAEI M. | Issue Writer Certificate

Keywords

MultiQ2

agent systemsQ1

discreteQ1

time fractionalQ1

order systemsQ1

leaderQ1

following consensusQ1

group consensusQ1

fractionalQ1

order integratorQ1

Abstract

In this paper, the leader-following group consensus of discrete-time fractional-order Multi-agent systems with time-delay is studied. At First, two groups are considered. Then, the problem is extended to arbitrary number of groups. The agents are considered as discrete-time fractional order integrators with input time delay. The interaction between agents is described with a directed communication graph with fixed topology. The group consensus problem for the considered agents leads to asymptotic stability analysis of a discrete-time fractional order system with time-delay. Based on this idea, the necessary and sufficient condition to reach the leader-following group consensus in terms of the controller gains of agents is extracted. Moreover, the optimal value of the controller gains is calculated to minimize a special performance index. Numerical simulations show the performance of the proposed method.

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APA: Copy

Shahamatkhah, E., & TABATABAEI, M.. (2020). Leader-Following Group Consensus of Discrete-Time Fractional-Order Multi-Agent Systems with Time-Delay. TABRIZ JOURNAL OF ELECTRICAL ENGINEERING, 50(1 (91) ), 253-267. SID. https://sid.ir/paper/388275/en

Vancouver: Copy

Shahamatkhah E., TABATABAEI M.. Leader-Following Group Consensus of Discrete-Time Fractional-Order Multi-Agent Systems with Time-Delay. TABRIZ JOURNAL OF ELECTRICAL ENGINEERING[Internet]. 2020;50(1 (91) ):253-267. Available from: https://sid.ir/paper/388275/en

IEEE: Copy

E. Shahamatkhah, and M. TABATABAEI, “Leader-Following Group Consensus of Discrete-Time Fractional-Order Multi-Agent Systems with Time-Delay,” TABRIZ JOURNAL OF ELECTRICAL ENGINEERING, vol. 50, no. 1 (91) , pp. 253–267, 2020, [Online]. Available: https://sid.ir/paper/388275/en

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