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Networks and Heterogeneous Media (NHM)
 

Analyzing human-swarm interactions using control Lyapunov functions and optimal control

Pages: 609 - 630, Volume 10, Issue 3, September 2015      doi:10.3934/nhm.2015.10.609

 
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Jean-Pierre de la Croix - School of Electrical and Computer Engineering, Georgia Institute of Technology, 777 Atlantic Drive NW, Atlanta, GA 30332-0250, United States (email)
Magnus Egerstedt - School of Electrical and Computer Engineering, Georgia Institute of Technology, 777 Atlantic Drive NW, Atlanta, GA 30332-0250, United States (email)

Abstract: A number of different interaction modalities have been proposed for human engagement with networked systems. In this paper, we establish formal guarantees for whether or not a given human-swarm interaction (HSI) strategy is appropriate for achieving particular multi-robot tasks, such as guiding a swarm of robots into a particular geometric configuration. In doing so, we define what it means to impose an HSI control structure on a multi-robot system. Control Lyapunov functions are used to establish feasibility for a user to achieve a particular geometric configuration with a multi-robot system under some selected HSI control structure. Several examples of multi-robot systems with unique HSI control structures are provided to illustrated the use of CLFs to establish feasibility. Additionally, we also uses these examples to illustrate how to use optimal control tools to compute three metrics for evaluating an HSI control structure: attention, effort, and scalability.

Keywords:  Networked systems, control theory, human-swarm interactions.
Mathematics Subject Classification:  Primary: 93C85; Secondary: 37B25, 49N05.

Received: November 2014;      Revised: February 2015;      Available Online: July 2015.

 References