Regular Papers

International Journal of Control, Automation and Systems 2016; 14(4): 986-997

Published online August 4, 2016

https://doi.org/10.1007/s12555-014-0518-1

© The International Journal of Control, Automation, and Systems

A Novel Control Algorithm for the Self-organized Fission Behavior of Flocking System with Time Delay

Panpan Yang, Mingyong Liu*, Xiaokang Lei, and Cheng Song

Northwestern Polytechnical University

Abstract

This paper studies the self-organized fission control problem for flocking system with time delay. Both constant and time-varying time delay cases are considered. Firstly, a novel information coupling degree (ICD) based fission control algorithm, which is able to split a coherent flock into multiple sub-groups under conflict external stimuli, is proposed. Then, for the case of constant time delay, the sufficient conditions for the fission control algorithm is derived using Lyapunov-Razumikhin theorem. For the case of time-varying time delay, Lyapunov- Krasovskii functional method is adopted to obtain the sufficient conditions for the fission control algorithm in terms of linear matrix inequalities (LMIs). Finally, numerical simulations are provided to illustrate the effectiveness of the theoretical results.

Keywords Fission control, flocking system, information coupling degree, time delay.

Article

Regular Papers

International Journal of Control, Automation and Systems 2016; 14(4): 986-997

Published online August 1, 2016 https://doi.org/10.1007/s12555-014-0518-1

Copyright © The International Journal of Control, Automation, and Systems.

A Novel Control Algorithm for the Self-organized Fission Behavior of Flocking System with Time Delay

Panpan Yang, Mingyong Liu*, Xiaokang Lei, and Cheng Song

Northwestern Polytechnical University

Abstract

This paper studies the self-organized fission control problem for flocking system with time delay. Both constant and time-varying time delay cases are considered. Firstly, a novel information coupling degree (ICD) based fission control algorithm, which is able to split a coherent flock into multiple sub-groups under conflict external stimuli, is proposed. Then, for the case of constant time delay, the sufficient conditions for the fission control algorithm is derived using Lyapunov-Razumikhin theorem. For the case of time-varying time delay, Lyapunov- Krasovskii functional method is adopted to obtain the sufficient conditions for the fission control algorithm in terms of linear matrix inequalities (LMIs). Finally, numerical simulations are provided to illustrate the effectiveness of the theoretical results.

Keywords: Fission control, flocking system, information coupling degree, time delay.

IJCAS
May 2024

Vol. 22, No. 5, pp. 1461~1759

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