TY - GEN
T1 - Pre-specified-Time coordination algorithm for convex optimization problems over weight-unbalanced networks
AU - Su, Zhixuan
AU - Liu, Yongfang
AU - Xian, Chengxin
AU - Zhao, Yu
N1 - Publisher Copyright:
© 2021 IEEE.
PY - 2021/5/28
Y1 - 2021/5/28
N2 - This paper investigates a group of convex optimization problems for swarm systems with directed and weight-unbalanced topologies, such as the economic dispatch problems with equality constraints. By using the multi-step planning method, a new pre-specified-Time coordination algorithm is proposed to seek the optimal value of global objective function in a distributed manner. Here, the specified time represents the moment when convex optimization problem gets solution, which can be appointed in advance without additional fuzzy estimation. In addition, the convergence time of the proposed algorithm is calculated precisely with the aid of Kronecker matrix algebra and Lyapunov stability theory. Finally, some simulations are shown to demonstrate the usefulness and superiority of the new designed optimization algorithms.
AB - This paper investigates a group of convex optimization problems for swarm systems with directed and weight-unbalanced topologies, such as the economic dispatch problems with equality constraints. By using the multi-step planning method, a new pre-specified-Time coordination algorithm is proposed to seek the optimal value of global objective function in a distributed manner. Here, the specified time represents the moment when convex optimization problem gets solution, which can be appointed in advance without additional fuzzy estimation. In addition, the convergence time of the proposed algorithm is calculated precisely with the aid of Kronecker matrix algebra and Lyapunov stability theory. Finally, some simulations are shown to demonstrate the usefulness and superiority of the new designed optimization algorithms.
KW - convex optimization
KW - economic dispatch problem
KW - specified-Time control
KW - weight-unbanlanced network
UR - http://www.scopus.com/inward/record.url?scp=85112049417&partnerID=8YFLogxK
U2 - 10.1109/YAC53711.2021.9486469
DO - 10.1109/YAC53711.2021.9486469
M3 - 会议稿件
AN - SCOPUS:85112049417
T3 - Proceedings - 2021 36th Youth Academic Annual Conference of Chinese Association of Automation, YAC 2021
SP - 156
EP - 161
BT - Proceedings - 2021 36th Youth Academic Annual Conference of Chinese Association of Automation, YAC 2021
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 36th Youth Academic Annual Conference of Chinese Association of Automation, YAC 2021
Y2 - 28 May 2021 through 30 May 2021
ER -
