Distributed tracking control of second-order multi-agent systems with sampled data

Distributed adaptive repetitive consensus control framework for uncertain nonlinear leader–follower multi-agent systems

“…Therefore, according to (9), if lim t→∞ t t−T e T (τ)e(τ)dτ = 0, we can get that lim t→∞ t t−T δ T (τ)δ(τ)dτ = 0. For the following discussion, we denote the dynamic of e(t) aṡ…”

“…Recently, studies on the distributed cooperative control of multi-agent systems or networks have attracted a lot of attention from various research communities [6][7][8][9][10][11][12][13][14][15][16][17]. The consensus problem, i.e., every agent asymptotically approaches a common value, has become a focus in the distributed coordination of multi-agent systems.…”

Leader–following consensus problem of networked multi‐agent systems under switching topologies and communication constraints

“…Therefore, inspired by the above motivations, the problem of the LDRF‐consensus with switching topologies is more meaningful and complicated, which investigates whether it is still possible to achieve followers to trace the leader or not when the communication topology changes over time [19]. The LDRF‐consensus of continuous‐time second‐order MASs subject to the Markovian topology is discussed under the sampled‐data context in [20, 21]. The design of the sampling period is emphasised in [20].…”

“…The design of the sampling period is emphasised in [20]. Different from [20], the approximative value of the leader's acceleration is used to design the consensus algorithm instead of the real value in [21]. In [22], a distributed adaptive consensus algorithm has been proposed to achieve the LDRF‐consensus for multiple uncertain Euler–Lagrange systems under a jointly connected topology.…”

Consensus of Third-Order Multiagent Systems with Time Delay in Undirected Networks

“…Most work on consensus focuses on protocols taking the form of first-order dynamics [1][2][3][4][5]. Extensions of consensus protocols to second-order dynamics are reported in [6][7][8][9][10][11]. Just as is shown in [9], the convergence of secondorder consensus algorithms relies on not only information exchange topology but also the coupling strength between the information states in contrast to first-order consensus algorithms.…”