Fully Distributed Containment Control for Multiple Euler-Lagrange Systems Over Directed Graphs: An Event-Triggered Approach

Event-triggered stochastic consensus for networked Lagrangian systems with semi-Markov switching topologies and communication delays

“…Remark 3: In designed event-based adaptive controller ( 7), for the gain matrices K i and the adjustment parameter a, they often suitably selected such that the conditions of Theorem 1 are satisfied. Generally, it would be convenient to choose the gain matrices K i and adjustment parameter a to achieve the desired consensus control objective by making properly use of Matlab LMI Toolbox in practical applications, and this also is a main feature of the developed event-triggered stochastic consensus algorithm for networked Lagrangian systems in comparison with the latest references (Xu T et al, 2019;Xu et al, 2020). This point will be further illustrated through numerical simulations in Application example.…”

“…In order to illustrate the nature of the developed eventtriggered consensus strategy with communication delay and semi-Markov switching topologies, in comparison with some latest consensus algorithms for networked Lagrangian systems (Xu T et al, 2019;Xu et al, 2020), we also worked out some comparison simulations regarding two specific case: (1) With and without communication delays; (2) Markov and semi-Markov switching topologies. In summary, we can observe from lots of simulations that the communication delays will deteriorate the control performance of the proposed event-triggered consensus scheme, and the conclusion is quite in consistence with the theoretical results reported in the recent literature (Cao et al, 2013;Tian and Liu, 2008).…”

“…Secondly, the consensus or synchronization of networked Lagrangian systems has a wide range of engineering application involving complex and integrated production process, such as hazardous material handling, environment monitoring, and underwater vehicle exploration (Sahoo and Banavar, 2014;Rezaee and Abdollahi, 2013). As a result, a large variety of coordinated strategies have recently been presented to achieve the consensus or synchronization of networked Lagrangian systems for both cases with leader or leaderless (Nuno et al, 2011;Pan et al, 2021;Xu T et al, 2019;Xu et al, 2020;Zhao et al, 2017).…”

The Optimal Application of Lagrangian Mathematical Equations in Computer Data Analysis

“…In this way, some false positioning points are eliminated, and the amount of calculation in the future is reduced. On this basis, the maximum likelihood algorithm is used to carry out the good correlation of orientations to find out the most likely combination of orientations from the same target [4]. This can ensure a certain azimuth correct correlation rate.…”

Orbital Containment Control Algorithm and Complex Information Topology Design for Large-Scale Cluster of Spacecraft

“…In view of information topology, fixed network topology [16,20,23,24] and switching network topology [19] , undirected graph [21] and directed graph [18,24] are considered. In many researches, containment control is combined with other novel control algorithms, such as finite-time control [15,16,23] , adaptive control [15,17] , neural network [17] , event-triggered control [ 27 ] , etc. In addition, other problems such as time delay [12,22] , model uncertainties [16,17,24] , external disturbances [16,17] are also discussed.…”