2020
DOI: 10.1109/tac.2019.2934954
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Resilient Leader-Follower Consensus to Arbitrary Reference Values in Time-Varying Graphs

Abstract: Several algorithms in prior literature have been proposed which guarantee consensus of normally behaving agents in a network that may contain adversarially behaving agents. These algorithms guarantee that the consensus value lies within the convex hull of initial normal agents' states, with the exact consensus value possibly being unknown. In leader-follower consensus problems however, the objective is for normally behaving agents to track a reference state that may take on values outside of this convex hull. … Show more

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Cited by 71 publications
(35 citation statements)
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“…Following this line, resilient formations have been investigated in time-varying communication graphs [18], triangular robust graphs [37], and triangular and square lattices [38,39]. Then Usevitch and Panagou studied a resilient leader-follower formation problem in [41] where [57] they proposed a resilient controller that allows wellbehaving robots to track a reference state even though a bounded subset of leaders and followers are adversarial. In these studies, the robots update their motion synchronously and periodically.…”
Section: Resilient Formation Control and Estimationmentioning
confidence: 99%
See 1 more Smart Citation
“…Following this line, resilient formations have been investigated in time-varying communication graphs [18], triangular robust graphs [37], and triangular and square lattices [38,39]. Then Usevitch and Panagou studied a resilient leader-follower formation problem in [41] where [57] they proposed a resilient controller that allows wellbehaving robots to track a reference state even though a bounded subset of leaders and followers are adversarial. In these studies, the robots update their motion synchronously and periodically.…”
Section: Resilient Formation Control and Estimationmentioning
confidence: 99%
“…Resilient multi-robot coordination: tasksFormation Control[14,18,36,37,38,39,40,41,42,43,44] …”
mentioning
confidence: 99%
“…A main drawback in the existing line of research in distributed resilient consensus including those mentioned above is that the global information regarding the number of malicious agents is shared among all cooperative agents. For example, in a typical Weighted-Mean-Subsequence-Reduced (W-MSR) algorithm [4], [7], [8], [18], cooperative agents will need to scrap the r largest and r smallest neighbor states during each iteration, where r is the estimated upper bound of malicious neighbors. In heuristic algorithms mentioned above, on the other hand, optimization problems are often have to be solved by employing advanced techniques such as neural networks [16], [19].…”
Section: Introductionmentioning
confidence: 99%
“…Similarly, in [17], the author allows each node in a network to ignore a possibly distinct number of extreme neighbors and show graph conditions that ensure network consensus. In [18], the authors introduced a resilient leader-follower consensus to arbitrary reference values. Under the same idea, where an agent ignores a number of the largest and the smallest received values, their work assures a consensus value belonging to the convex hull of initial nodes states.…”
Section: Introductionmentioning
confidence: 99%