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Adaptive consensus tracking for fractional-order linear time invariant swarm systems
, Article Journal of Computational and Nonlinear Dynamics ; Vol. 9, issue. 3 , 2014 ; ISSN: 15551415 ; Tavazoei, M. S ; Sharif University of Technology
Abstract
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. Copyright
Fractional-order linear time invariant swarm systems: Asymptotic swarm stability and time response analysis
, Article Central European Journal of Physics ; Volume 11, Issue 6 , October , 2013 , Pages 845-854 ; 18951082 (ISSN) ; Tavazoei, M. S ; Sharif University of Technology
2013
Abstract
This paper deals with fractional-order linear time invariant swarm systems. Necessary and sufficient conditions for asymptotic swarm stability of these systems are presented. Also, based on a time response analysis the speed of convergence in an asymptotically swarm stable fractional-order linear time invariant swarm system is investigated and compared with that of its integer-order counterpart. Numerical simulation results are presented to show the effectiveness of the paper results
Asymptotic swarm stability of fractional-order swarm systems in the presence of uniform time-delays
, Article International Journal of Control ; Nov , 2015 , Pages 1-10 ; 00207179 (ISSN) ; Tavazoei, M. S ; Sharif University of Technology
Taylor and Francis Ltd
2015
Abstract
In this paper, asymptotic swarm stability of fractional-order swarm systems in the presence of uniform time-delays is studied. By using a frequency domain approach, the necessary and sufficient condition on the values of time-delay is derived to guarantee the asymptotic swarm stability under a directed/undirected interaction graph. Numerical examples are given to confirm the obtained analytical results
Asymptotic swarm stability of fractional-order swarm systems in the presence of uniform time-delays
, Article International Journal of Control ; Volume 90, Issue 6 , 2017 , Pages 1182-1191 ; 00207179 (ISSN) ; Tavazoei, M. S ; Sharif University of Technology
Taylor and Francis Ltd
2017
Abstract
In this paper, asymptotic swarm stability of fractional-order swarm systems in the presence of uniform time-delays is studied. By using a frequency domain approach, the necessary and sufficient condition on the values of time-delay is derived to guarantee the asymptotic swarm stability under a directed/undirected interaction graph. Numerical examples are given to confirm the obtained analytical results. © 2015 Informa UK Limited, trading as Taylor & Francis Group
Constrained swarm stabilization of fractional order linear time invariant swarm systems
, Article IEEE/CAA Journal of Automatica Sinica ; Volume 3, Issue 3 , 2016 , Pages 320-331 ; 23299266 (ISSN) ; Tavazoei, M. S ; Sharif University of Technology
Institute of Electrical and Electronics Engineers Inc
Abstract
This paper deals with asymptotic swarm stabilization of fractional order linear time invariant swarm systems in the presence of two constraints: the input saturation constraint and the restriction on distance of the agents from final destination which should be less than a desired value. A feedback control law is proposed for asymptotic swarm stabilization of fractional order swarm systems which guarantees satisfying the above-mentioned constraints. Numerical simulation results are given to confirm the efficiency of the proposed control method