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.
Adaptive Consensus Tracking for Fractional-Order Linear Time Invariant Swarm Systems
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.
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Naderi Soorki, M., and Saleh Tavazoei, M. (February 13, 2014). "Adaptive Consensus Tracking for Fractional-Order Linear Time Invariant Swarm Systems." ASME. J. Comput. Nonlinear Dynam. July 2014; 9(3): 031012. https://doi.org/10.1115/1.4026042
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