High-order tracking problem with a time-varying topology and communication delays

Fault-tolerant formation control of stochastic nonlinear multi-agent systems with time-varying weighted topology

“…In an uncertain environment, according to Dong et al (2016) and (2015), the topology can be modelled by a linear combination of a limited number of constant Laplacian matrices with time-varying coefficients. To this end, the time-varying weighted Laplacian matrix is defined as…”

“…On the other hand, in many practical multi-agent systems for the reasons such as: the limitation of the communication bandwidth, the distance between the agents, the existence of obstacles in the path, the time-varying weighted topology is used to model the communication topology between the agents. Moreover, the time-varying weighted topology can be utilized to indicate the relative confidence of the information obtained from each agent, or to show the relative reliability of various communication links (Dong et al, 2015, 2016; Ren and Beard, 2005). As mentioned in Dong et al (2016) and (2015), the time-varying weighted topology may be modeled by a linear combination of a limited number of constant Laplacian matrices with corresponding scheduling coefficients.…”

“…Moreover, the time-varying weighted topology can be utilized to indicate the relative confidence of the information obtained from each agent, or to show the relative reliability of various communication links (Dong et al, 2015, 2016; Ren and Beard, 2005). As mentioned in Dong et al (2016) and (2015), the time-varying weighted topology may be modeled by a linear combination of a limited number of constant Laplacian matrices with corresponding scheduling coefficients. However, generalizing the results in Dong et al (2016) and (2015) to the stochastic multi-agent formation tracking problems is challenging.…”

“…As mentioned in Dong et al (2016) and (2015), the time-varying weighted topology may be modeled by a linear combination of a limited number of constant Laplacian matrices with corresponding scheduling coefficients. However, generalizing the results in Dong et al (2016) and (2015) to the stochastic multi-agent formation tracking problems is challenging. Among good examples that justify the development of the theoretical results given in this work are the occurrence of fault in the movement of multi-aircrafts in the presence of stochastic winds (Zárate-Minano et al, 2016), or underwater robots affected by stochastic waves with time-varying topologies.…”

Finite interval tracking algorithm for nonlinear multi-agent systems with communication delays

“…The objective of tracking is to design distributed control laws to drive the group of agents to reach the desired trajectory of a target agent. So far, most existing studies on the tracking problem focus on the case where agents asymptotically achieve agreement (Chen & Li, 2014;Dong, Chai, & Zhang, 2014;Dong, Chai, Zhang, & Nguang, 2014a, 2014bDong, Chai, Zhang, Nguang, & Wen, 2015;Hong et al, 2006;Wen, Duan, Chen, & Yu, 2014;Yan et al, 2010).…”