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Nonsmooth Resource Allocation of Multiagent Systems With Disturbances: A Proximal Approach
- Source :
- IEEE Transactions on Control of Network Systems. 8:1454-1464
- Publication Year :
- 2021
- Publisher :
- Institute of Electrical and Electronics Engineers (IEEE), 2021.
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Abstract
- This article aims to solve the nonsmooth resource allocation problem in the presence of a global network resource constraint and local set constraints in the framework of multiagent system optimization. It is assumed that multiagent systems are subject to some external disturbances, and the control inputs of the agents satisfy Lispchitz continuity. These two distinguished features render the existing distributed optimization algorithms, especially the subgradient-based algorithms inapplicable due to the employment of discontinuity of subgradients. To solve such a challenging resource allocation problem, a new kind of continuous-time proximal algorithm is designed with the aid of convex optimization theory and the internal-model technique. The proximal algorithm is further augmented by introducing an event-based communication scheme such that the continuous-time communication among the agents is avoided successfully. The theoretical analysis shows that the multiagent systems under the proposed algorithms can converge to the optimal solution of the considered problem, while the external disturbances are rejected. Besides, the Zeno behavior can be excluded for the proximal algorithm with event-based communication. Finally, the numerical simulations are given to verify the established theoretical results.
- Subjects :
- Mathematical optimization
Control and Optimization
Computer Networks and Communications
Computer science
Multi-agent system
Discontinuity (linguistics)
Control and Systems Engineering
Control system
Signal Processing
Convex optimization
Resource allocation
Resource management
Convex function
Subgradient method
Subjects
Details
- ISSN :
- 23722533
- Volume :
- 8
- Database :
- OpenAIRE
- Journal :
- IEEE Transactions on Control of Network Systems
- Accession number :
- edsair.doi...........9fa09d5c2c68413b45538e8d789407c0