Cooperative tracking for nonlinear multi-agent systems with hybrid time-delayed protocol

Tracking control for nonlinear time‐delay multiagent systems with input saturation

“…This type of observer has been used in research works on nonlinear system, such as the references the works of Zhang et al, 3 Chen et al, 26 Lei and Lin, 37 Chen et al, 38 and Zhang et al 39 Theorem 2. Under Assumptions 1 to 3, control gain r and positive design parameters k , , and can be chosen such that all signals of the closed-loop system consisting of system (1) with (21) and the following output feedback controllers are globally bounded, and the tracking errors k,l , l = 1, 2, … , n can converge to a small neighborhood around the origin by appropriately selecting parameters:…”

“…Compared with the existing results, the contributions of this paper include the following aspects. (1) Most papers studied nonlinear systems with time delay or input saturation or neither of them . However, in this paper, the object under study is extended to the nonlinear system in strict‐feedback form with both input saturation and time delay.…”

“…(1) Most papers studied nonlinear systems with time delay or input saturation or neither of them. 3,5,15,[18][19][20][21] However, in this paper, the object under study is extended to the nonlinear system in strict-feedback form with both input saturation and time delay. (2) The static gain control technique and the hyperbolic tangent function are utilized to design the controllers, which is simpler than the backstepping method used in the work of Zhao et al 19 (3) Only the state feedback problem was considered by the backstepping method in the work of Yang et al, 24 but in this paper, both the state feedback problem and the output feedback problem are considered by the static gain control technique.…”

“…In addition to the saturation, time delay is another key factor affecting the stability of the systems. Some results of tracking control for general nonlinear MASs with time delay were reported in the works of Cui et al and Hu et al The backstepping method was utilized to study the time‐delay nonlinear MASs in strict‐feedback form in the works of Hua et al and Chen et al It is worth noting that a few scholars have considered the tracking control problem for nonlinear MASs with both input saturation and time delay. In the work of Yang et al, the state feedback control scheme was designed by means of the backstepping method, such that the tracking control problem was solved.…”

Consensus of multiagent systems with nonlinear dynamics and time‐varying communication delays

“…16 It should be pointed out that, in practical networked multiagent systems, time delays are encountered inevitably due to the limited bandwidth of the communication channels, the asymmetry of interactions, and the finite transmission speed, which can degrade the performance of the multiagents and even cause the system divergence. [17][18][19][20][21] Therefore, the communication delays should be modeled in consensus of multiagent systems. Currently, some works have been done to eliminate the negative effect of time delays on the multiagent systems.…”