Distributed event‐triggered fixed‐time consensus for leader‐follower multiagent systems with nonlinear dynamics and uncertain disturbances

Abstract

Summary This paper focuses on the distributed event‐triggered fixed‐time consensus control problem of leader‐follower multiagent systems with nonlinear dynamics and uncertain disturbances. Two distributed fixed‐time consensus protocols are proposed based on distributed event‐triggered strategies, which can substantially reduce energy consumption and the frequency of the controller updates. It is proved that under the proposed distributed event‐triggered consensus tracking control strategies, the Zeno behavior is avoided. Compared with the finite‐time consensus tracking, the fixed‐time consensus tracking can be achieved within a settling time regardless of the initial conditions. Finally, 2 examples are performed to validate the effectiveness of the distributed event‐triggered fixed‐time consensus tracking controllers.

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

“…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 .…”

“… (1)Both the finite‐time and fixed‐time event‐triggered consensus tracking results are obtained. Besides, a new self‐triggered control scheme is presented for the finite‐time consensus tracking results. (2)The finite/fixed‐time event‐triggered consensus problems of first‐order MASs were addressed in other works . In this paper, we extend the fixed‐time event‐triggered consensus results to second‐order disturbed MASs for the first time.…”

“…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.…”

Distributed control of uncertain multiagent systems for tracking a leader with unknown fractional‐order dynamics

“…In the history of research on the multiagent consensus tracking control problems, the structure of the target's dynamics is commonly assumed to be known to the followers . However, in practice, a group of agents usually have no idea of their tracking object's mobility, and the networked agents themselves are often heterogeneous.…”

“…In the history of research on the multiagent consensus tracking control problems, the structure of the target's dynamics is commonly assumed to be known to the followers. [7][8][9][10][11][12] However, in practice, a group of agents usually have no idea of their tracking object's mobility, and the networked agents themselves are often heterogeneous. On the other hand, although scores of published papers have evidenced that agents with integer-order models (especially the first-and second-order ones) can be feasibly deployed in many real scenarios, it is found that agents in complex environment (such as vehicles moving on the surface of macromolecule fluids and porous media, and high-speed aircraft traveling in dust storm, rain, or snow environment, etc.)…”