Distributed Optimization Control for the System with Second-Order Dynamic

Yueqing Wang, Hao Zhang and Zhi Li ()
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Yueqing Wang: School of Mechano-Engineering, Xidian University, Xi’an 710126, China
Hao Zhang: School of Mechano-Engineering, Xidian University, Xi’an 710126, China
Zhi Li: School of Mechano-Engineering, Xidian University, Xi’an 710126, China

Mathematics, 2024, vol. 12, issue 21, 1-17

Abstract: No matter whether with constraint or without constraint, most of the research about distributed optimization is studied for the kind of quadratic performance criteria that does not have an integrator; these optimization problems only concern the state value at the time of the final state, not the whole process of the system change. For this problem, this paper discusses second-order multi-agent systems with a discrete-time dynamic and a continuous-time dynamic, respectively, for distributed optimization control problems, and proposes sufficient conditions to ensure the quadratic performance criteria with an integrator is positive. Specifically, under sufficient conditions, we describe the multi-agent systems that are considered in this paper to be connected topology; all the agents can obtain the information from their neighbors. In addition, the structure of our controller only relies on the Laplace matrix of the system’s topology, and the reaction coefficients in the controller are the parameters in the performance criteria. Finally, the analysis of convergence is given and verified by numerical examples and simulations.

Keywords: multi-agent; optimization control; distributed control (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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