Robustness of Finite-Time Distributed Control Algorithm with Time Transformation
The focus of this paper is distributed control of multiagent systems in a-priori given, user-defined finite-time interval using a recently developed time transformation approach. In particular, we utilize a time transformation function to convert a user-defined finite-time interval to a stretched infinite-time interval such that a distributed control algorithm can be designed on this stretched interval and then it can be transformed back to the original finite-time interval in order to satisfy a given multiagent system objective. In addition, the robustness of the resulting finite-time distributed control algorithm against vanishing and non-vanishing system uncertainties is also discussed. In contrast to existing finite-time approaches, the presented algorithm can preserve apriori given, user-defined finite-time convergence regardless of the initial conditions of the multiagent system and without the need for a knowledge of the upper bounds of the considered system uncertainty classes.
E. Arabi et al., "Robustness of Finite-Time Distributed Control Algorithm with Time Transformation," Proceedings of the American Control Conference (2019, Philadelphia, PA), pp. 108-113, Institute of Electrical and Electronics Engineers (IEEE), Jul 2019.
The definitive version is available at https://doi.org/10.23919/ACC.2019.8814735
2019 American Control Conference, ACC 2019 (2019: Jul. 10-12, Philadelphia, PA)
Mathematics and Statistics
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© 2019 American Automatic Control Council, All rights reserved.
12 Jul 2019