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Research Papers

Adaptive Consensus Tracking for Fractional-Order Linear Time Invariant Swarm Systems

[+] Author and Article Information
Mojtaba Naderi Soorki

Department of Electrical Engineering,
Sharif University of Technology,
Tehran 11155-4363, Iran
e-mail: mojtabanaderi@ee.sharif.edu

Mohammad Saleh Tavazoei

Department of Electrical Engineering,
Sharif University of Technology,
Tehran 11155-4363, Iran
e-mail: tavazoei@sharif.edu

Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received July 30, 2013; final manuscript received November 13, 2013; published online February 13, 2014. Assoc. Editor: J. A. Tenreiro Machado.

J. Comput. Nonlinear Dynam 9(3), 031012 (Feb 13, 2014) (7 pages) Paper No: CND-13-1193; doi: 10.1115/1.4026042 History: Received July 30, 2013; Revised November 13, 2013

This paper presents an adaptive controller to achieve consensus tracking for the fractional-order linear time invariant swarm systems in which the matrices describing the agent dynamics and the interactive dynamics between agents are unknown. This controller consists of two parts: an adaptive stabilizer and an adaptive tracker. The adaptive stabilizer guarantees the asymptotic swarm stability of the considered swarm system. Also, the adaptive tracker enforces the system agents to track a desired trajectory while achieving consensus. Numerical simulation results are presented to show the effectiveness of the proposed controller.

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References

Figures

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Fig. 1

Graph G that includes a spanning tree

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Fig. 2

Trajectory of agents in adaptive consensus tracking (case I)

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Fig. 3

Pseudostates of agents in adaptive consensus tracking (case I)

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Fig. 4

Control signals in adaptive consensus tracking (case I)

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Fig. 5

Trajectory of agents in adaptive consensus tracking (case II)

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Fig. 6

Pseudostates of agents in adaptive consensus tracking (case II)

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Fig. 7

Control signals in adaptive consensus tracking (case II)

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