2019 IEEE 58th Conference on Decision and Control (CDC) 2019
DOI: 10.1109/cdc40024.2019.9030238
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A Coalitional Control Scheme with Topology-Switchings Convexity Guarantees

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Cited by 8 publications
(15 citation statements)
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“…Nevertheless, fuzzy logic requires application knowledge and manual modifications to the process. Other approaches make use of game theory, e.g., of min-max games [10] and coali-tional games [11], [12]. These approaches, however, focus on coalitional approaches rather than cooperative approaches.…”
Section: B Related Workmentioning
confidence: 99%
“…Nevertheless, fuzzy logic requires application knowledge and manual modifications to the process. Other approaches make use of game theory, e.g., of min-max games [10] and coali-tional games [11], [12]. These approaches, however, focus on coalitional approaches rather than cooperative approaches.…”
Section: B Related Workmentioning
confidence: 99%
“…Other approaches make use of game theory, e.g., of min-max games [13] and coalitional games [14], [15].…”
Section: A Related Workmentioning
confidence: 99%
“…where α (k,i) is the transposed weighting factor resulting from Eq. (15). The agents communicate the locally averaged plans x (−) − (•) and iteratively perform local average steps and communicate the intermediate results to their neighbors until the plans are synchronized, i.e., x…”
Section: B Synchronization Of Plansmentioning
confidence: 99%
“…In this paper the coalitional control scheme, with switching topologies, presented in Maestre et al (2014); Chanfreut et al (2019) is extended to a more general scenario, while keeping all the stability guarantees. Under this framework, the topology of the communication network is dynamically selected from a set of predefined alternatives.…”
Section: Main Contributionsmentioning
confidence: 99%
“…Notice that the introduction of variable Λ noticeably hinders the control problem. In previous work (Maestre et al, 2014;Chanfreut et al, 2019) the authors have found an approximate optimal solution to this problem using Linear Matrix Inequalities (LMIs), assuming the agents have perfect knowledge of their state. In this paper this assumption is removed and an alternative control and observation scheme is introduced, while still only requiring LMIs to be solved for a guaranteed stable design.…”
Section: Control Objectivementioning
confidence: 99%