Event-triggered finite-time consensus of multiple Euler Lagrange systems under Markovian switching topologies

Robust event‐triggered control of second‐order disturbed leader‐follower MASs: A nonsingular finite‐time consensus approach

“…Remark Different from the existing finite‐time event‐triggered results, the self‐triggered sampling control is first proposed to avoid continuous monitoring. Besides, the uncertain disturbances are considered.…”

“…The event‐triggered consensus result of MASs was first developed in the work of Dimarogonas et al The results were extended to the second‐order linear MASs in the works of Xie et al and Li et al The decentralized event‐triggered and self‐triggered consensus results were given in the work of Hu et al In the work of Zhu et al, the corresponding problems of linear MASs with the intermittent communication were considered. A new event‐triggered sampled‐data strategy was proposed for general linear MASs in the work of Guo et al The leader‐follower consensus results of second‐order and general linear MASs were obtained via event‐triggered control in the work of Xu et al Based on a state‐dependent threshold, an event‐triggered consensus controller was designed in the work of Liu et al The event‐triggered consensus results of MASs with matching uncertainties were obtained in the work of Wang et al For the convergence rate problems under event‐triggered control, the corresponding results were obtained in other works . The finite‐time event‐triggered consensus algorithms were developed for linear and nonlinear first‐order MASs in other works and these results were extended to second‐order and general linear systems in other works .…”

“…In this paper, we extend the fixed‐time event‐triggered consensus results to second‐order disturbed MASs for the first time. Moreover, the problem of the singularity in the controller is solved. (3)Different from the existing finite‐time event‐triggered consensus results, the self‐triggered sampling control is first proposed to avoid continuous monitoring. Besides, the dynamic leader and the uncertain disturbances are considered.…”

“…A new event-triggered sampled-data strategy was proposed for general linear MASs in the work of Guo et al 40 The leader-follower consensus results of second-order and general linear MASs were obtained via event-triggered control in the work of Xu et al 44 Based on a state-dependent threshold, an event-triggered consensus controller was designed in the work of Liu et al 45 The event-triggered consensus results of MASs with matching uncertainties were obtained in the work of Wang et al 46 For the convergence rate problems under event-triggered control, the corresponding results were obtained in other works. [52][53][54][55][56][57][58][59][60][61][62][63][64] The finite-time event-triggered consensus algorithms were developed for linear and nonlinear first-order MASs in other works [52][53][54][55] and these results were extended to second-order and general linear systems in other works. [56][57][58] In the works of Liu et al, 59,60 the fixed-time event-triggered consensus problem for first-order MASs with the continuous communication were solved.…”

“…[52][53][54][55][56][57][58][59][60][61][62][63][64] The finite-time event-triggered consensus algorithms were developed for linear and nonlinear first-order MASs in other works [52][53][54][55] and these results were extended to second-order and general linear systems in other works. [56][57][58] In the works of Liu et al, 59,60 the fixed-time event-triggered consensus problem for first-order MASs with the continuous communication were solved. The studies above need the continuous communication and yet the literatures 61-63 achieved the finite/fixed-time consensus of first-order MASs via event-triggered control without continuous communication.…”