2017
DOI: 10.1002/asjc.1455
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Adaptive Leader‐Following Consensus for Uncertain Nonlinear Multi‐Agent Systems

Abstract: This paper is concerned with the adaptive leader‐following consensus for first‐ and second‐order uncertain nonlinear multi‐agent systems (NMASs) with single‐ and double‐integrator leader, respectively. Remarkably, the control coefficients of the followers need not belong to any known finite interval, which makes the systems in question essentially different from those in the related works. Moreover, parameterized unknowns exist in the nonlinearities of the followers, and unknown control input is imposed on the… Show more

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Cited by 20 publications
(21 citation statements)
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References 25 publications
(125 reference statements)
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“…The following formula is satisfied from inequalities (33) and (35) that This Z < 0 in (36) implies ‖z(t)‖ 2 ≤ γ‖w(t)‖ 2 , for any nonzero w(t) ∈ L 2 [0, ∞). Therefore, when Z < 0, the system is robustly stable with H ∞ norm disturbance attenuation γ under the controller.…”
Section: Robust H ∞ Controlmentioning
confidence: 99%
See 1 more Smart Citation
“…The following formula is satisfied from inequalities (33) and (35) that This Z < 0 in (36) implies ‖z(t)‖ 2 ≤ γ‖w(t)‖ 2 , for any nonzero w(t) ∈ L 2 [0, ∞). Therefore, when Z < 0, the system is robustly stable with H ∞ norm disturbance attenuation γ under the controller.…”
Section: Robust H ∞ Controlmentioning
confidence: 99%
“…A nonlinear car‐following model with varying reaction‐time delay was proposed and provided the sufficient condition for the existence of the state feedback control strategy . Numerous works on the analysis of cooperative traffic systems are considered as leader‐following consensus of multi‐agent systems , which focused on communication uncertainties (e.g., transmission delay, packet dropouts, and quantization error) and parameter uncertainties of vehicle dynamical system . Other control methods also attract researchers' attention, such as sliding mode control and adaptive tracking control .…”
Section: Introductionmentioning
confidence: 99%
“…E ( e ) denotes the angle deviation, and EC ( ec ) denotes the angle deviation's changing rate. Based on different time's E and EC, the fuzzy rules are used to correct P , I , D parameters online .…”
Section: Theoretical Analysismentioning
confidence: 99%
“…Numerous multi-agent coordination and cooperation problems have been the subject of considerable attention from researchers over the past several years: aggregation, consensus, formation, social foraging, synchronization, containment, distributed averaging/optimization, etc. [11,[18][19][20]22,29,34,39,40]. In this paper, we are primarily concerned with the formation problem, which regards the situation where a desired geometric shape in space is assumed and maintained by a team of agents.…”
Section: Introductionmentioning
confidence: 99%