Leader-following consensus problem with an accelerated motion leader

Distributed consensus control for discrete-time linear multi-agent systems with reduced-order observer

“…In the past decade, the state estimation problems have been intensively studied for complex networks with various kinds of incomplete measurements. In [4,8,11,12,13,14], the observer-based consensus problems with first-or seconder-order dynamics have been investigated. The adaptive observer-based consensus protocols for seconder-order multi-agent systems were proposed by [15,27].…”

Intermittent observer-based consensus control for multi-agent systems with switching topologies

“…Due to the wide applications in many practical systems especially in mechanical systems, the second-order multi-agent systems have been investigated deeply. Many interesting works, such as Hong, Hu, and Gao (2006), Hu and Hong (2007), Gao, Zhang, and Chen (2012), Gao, Zhu, and Chen (2012), Zhang, Chen, and Yu (2012) and Pan, Nian, and Guo (2012), have discussed the second-order consensus. Recently, the high-order consensus problems have been investigated (Ni & Cheng, 2010;Ni, Xiong, & Yang, 2013;Seo, Shim, & Back, 2009;Wang et al, 2011;Xiao & Wang, 2007, Cheng, Hou, & Tan, 2014 have been investigated.…”

“…In order to track an active leader, a local controller together with a neighbourbased state-estimation rule was proposed in Hong et al (2006). Under the assumption that the velocity of the active leader could not be measured in real time, Gao et al designed distributed consensus observers for the second-order follower-agents in Gao, Zhu, and Chen (2012). Relying on the relative output of neighbouring agents, distributed reduced-order observed-based protocols were proposed in Li, Liu, Lin, and Ren (2011) and were generalised to solve leader-following consensus problem with switching topology in Zhang, Gao, and Tong (2013).…”

“…Compared with the switching interacting topology, it is relatively easy to handle fixed topology by using the eigenvalue decomposition approach. For the switching interacting topology case, the common Lyapunov function method is a good way to analyse consensus of multi-agent systems (Gao, Zhang, & Chen, 2012;Gao, Zhu, & Chen, 2012;Gao et al, 2013;Hong et al, 2006;Liu & Jia, 2009;Ni & Cheng, 2010).…”

Leader-following consensus of linear multi-agent systems with state-observer under switching topologies

“…To track the active leader, [12] proposed distributed observers for the second-order follower-agents together with the neighborbased control rules under the assumption that the velocity of the active leader cannot be measured. In [15], a multi-agent consensus problem with an accelerated motion leader under variable interconnection topologies are considered. To track the accelerated motion leader, a neighbor-based estimation rule is used to estimate the acceleration of the leader.…”