Regular Papers

International Journal of Control, Automation, and Systems 2024; 22(9): 2802-2811

https://doi.org/10.1007/s12555-023-0451-2

© The International Journal of Control, Automation, and Systems

Distributed Fixed-time Optimization for Multiple Mechanical Systems

Yuan Liu*, Pinxiao Liu, Bing Zhang, and Xianpu Zeng

Nanyang Institute of Technology

Abstract

Under the general unbalanced directed communication graphs, distributed fixed-time optimization problem is studied for multiple mechanical systems modeled by Euler-Lagrange equations. Distributed controllers have been developed to achieve the optimal position of each agent within a fixed time by integrating distributed fixedtime estimator techniques and a fixed-time control design in a cohesive manner. The effectiveness of the proposed control protocol is also illustrated by a numerical simulation.

Keywords Directed graphs, distributed optimization, fixed-time convergence, mechanical systems.

Article

Regular Papers

International Journal of Control, Automation, and Systems 2024; 22(9): 2802-2811

Published online September 1, 2024 https://doi.org/10.1007/s12555-023-0451-2

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

Distributed Fixed-time Optimization for Multiple Mechanical Systems

Yuan Liu*, Pinxiao Liu, Bing Zhang, and Xianpu Zeng

Nanyang Institute of Technology

Abstract

Under the general unbalanced directed communication graphs, distributed fixed-time optimization problem is studied for multiple mechanical systems modeled by Euler-Lagrange equations. Distributed controllers have been developed to achieve the optimal position of each agent within a fixed time by integrating distributed fixedtime estimator techniques and a fixed-time control design in a cohesive manner. The effectiveness of the proposed control protocol is also illustrated by a numerical simulation.

Keywords: Directed graphs, distributed optimization, fixed-time convergence, mechanical systems.

IJCAS
September 2024

Vol. 22, No. 9, pp. 2673~2953

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