2015 American Control Conference (ACC) 2015
DOI: 10.1109/acc.2015.7172016
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A control lyapunov function approach to human-swarm interactions

Abstract: In this paper, we seek to establish formal guarantees for whether or not a given human-swarm interaction (HSI) is appropriate for achieving multi-robot tasks. Examples of such tasks include guiding a swarm of robots into a particular geometric configuration. In doing so, we define what it means to impose a HSI control structure on a multi-robot system. Control Lyapunov functions (CLFs) are used to prove that it is feasible for a user to achieve a particular geometric configuration with a multi-robot system und… Show more

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Cited by 9 publications
(8 citation statements)
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“…Yet, resulting formal guarantees and analysis tools could still be useful for human operators and system designers. For instance, in [39], formal methods are used to determine whether human control inputs for certain swarm tasks are theoretically possible. Control-theoretic approaches are, therefore, an important complementary contribution to bioinspired works.…”
Section: A Swarm Modelsmentioning
confidence: 99%
“…Yet, resulting formal guarantees and analysis tools could still be useful for human operators and system designers. For instance, in [39], formal methods are used to determine whether human control inputs for certain swarm tasks are theoretically possible. Control-theoretic approaches are, therefore, an important complementary contribution to bioinspired works.…”
Section: A Swarm Modelsmentioning
confidence: 99%
“…Situation awareness is provided to the operator in terms of an appropriately designed and modulated force feedback, and a general-purpose haptic teleoperation device is exploited. Conversely, (Diana et al 2013) exploits the concept of "deformable affordance", introducing an ad-hoc deformable teleoperation device that is used by the human operator to globally define the shape of the multi-robot system: the stability of the interaction system is discussed in de la Croix and Egerstedt (2015). This approach moves towards the introduction of interaction paradigms that are natural for the humans, and that can then be easily exploited.…”
Section: Interaction With Multi-robot Systemsmentioning
confidence: 99%
“…Finally, the Υ in (46) and a sufficiently large damping gain D guarantee that D i ≥ 0 in (40). Algorithm 1 summarizes the gain selection procedure for the control (30), which maintains the tree network of the time-delay EL swarm.…”
Section: Time-delay Slave Swarmmentioning
confidence: 99%
“…Algorithm 1 Gain selection for the dynamic control (30) Input: r, , f , λ i2 , c i , T ij , x d ij ∀j ∈ N i (0) Output: K i (t), B and D 1: Choose σ > 0 and B > 0 heuristically; 2: Select 0 < κ < 1 and Q > 0 such that ω 1 > 0 and ω 2 > 0 in condition (4); 3: Compute ρ i , choose P > 0 and 0 < σ < σ by (41) such that ω 3 > 0 in condition (4); 4: Choose positive η i , γ i and ζ i heuristically; 5: Set Λ ij1 (t) by (43), and update K i (t) dynamically by (47); 6: Compute Λ ij1 , Λ ij2 , K i and Υ by ( 44)- (46), respectively;…”
Section: Time-delay Slave Swarmmentioning
confidence: 99%
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