Abstract
The safe flocking problem requires a collection of N mobile agents to (a) converge to and maintain an equi-spaced lattice formation, (b) arrive at a destination, and (c) always maintain a minimum safe separation. Safe flocking in Euclidean spaces is a well-studied and difficult coordination problem. Motivated by real-world deployment of multi-agent systems, this paper studies one-dimensional safe flocking, where agents are afflicted by actuator faults. An actuator fault is a new type of failure that causes an affected agent to be stuck moving with an arbitrary velocity. In this setting, first, a self-stabilizing solution for the problem is presented. This relies on a failure detector for actuator faults. Next, it is shown that certain actuator faults cannot be detected, while others may require O(N) time for detection. Finally, a simple failure detector that achieves the latter bound is presented. Several simulation results are presented for illustrating the effects of failures on the progress towards flocking.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Arora, A., Gouda, M.: Closure and convergence: A foundation of fault-tolerant computing. IEEE Trans. Softw. Eng. 19, 1015–1027 (1993)
Chandra, T.D., Toueg, S.: Unreliable failure detectors for reliable distributed systems. J. ACM 43(2), 225–267 (1996)
Chandy, K.M., Lamport, L.: Distributed snapshots: determining global states of distributed systems. ACM Trans. Comput. Syst. 3(1), 63–75 (1985)
Dolev, S.: Self-stabilization. MIT Press, Cambridge (2000)
Fax, J., Murray, R.: Information flow and cooperative control of vehicle formations. IEEE Trans. Autom. Control 49(9), 1465–1476 (2004)
Franceschelli, M., Egerstedt, M., Giua, A.: Motion probes for fault detection and recovery in networked control systems. In: American Control Conference 2008, pp. 4358–4363 (2008)
Gazi, V., Passino, K.M.: Stability of a one-dimensional discrete-time asynchronous swarm. IEEE Trans. Syst., Man, Cybern. B 35(4), 834–841 (2005)
Jadbabaie, A., Lin, J., Morse, A.: Coordination of groups of mobile autonomous agents using nearest neighbor rules. IEEE Trans. Autom. Control 48(6), 988–1001 (2003)
Johnson, T.: Fault-Tolerant Distributed Cyber-Physical Systems: Two Case Studies. Master’s thesis, Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801 (May 2010)
Johnson, T., Mitra, S.: Safe and stabilizing distributed flocking in spite of actuator faults. Tech. Rep. UILU-ENG-10-2204 (CRHC-10-02), University of Illinois at Urbana-Champaign, Urbana, IL (May 2010)
Okubo, A.: Dynamical aspects of animal grouping: Swarms, schools, flocks, and herds. Adv. Biophys. 22, 1–94 (1986)
Olfati-Saber, R.: Flocking for multi-agent dynamic systems: algorithms and theory. IEEE Trans. Autom. Control 51(3), 401–420 (2006)
Shaw, E.: Fish in schools. Natural History 84(8), 40–45 (1975)
Tsitsiklis, J., Bertsekas, D., Athans, M.: Distributed asynchronous deterministic and stochastic gradient optimization algorithms. IEEE Trans. Autom. Control 31(9), 803–812 (1986)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Johnson, T., Mitra, S. (2010). Safe Flocking in Spite of Actuator Faults. In: Dolev, S., Cobb, J., Fischer, M., Yung, M. (eds) Stabilization, Safety, and Security of Distributed Systems. SSS 2010. Lecture Notes in Computer Science, vol 6366. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16023-3_45
Download citation
DOI: https://doi.org/10.1007/978-3-642-16023-3_45
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-16022-6
Online ISBN: 978-3-642-16023-3
eBook Packages: Computer ScienceComputer Science (R0)