Distributed Optimization Control for the System with Second-Order Dynamic

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 wh...

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Vydáno v:Mathematics (Basel) Ročník 12; číslo 21; s. 3347
Hlavní autoři: Wang, Yueqing, Zhang, Hao, Li, Zhi
Médium: Journal Article
Jazyk:angličtina
Vydáno: Basel MDPI AG 01.11.2024
Témata:
Constraints
Control algorithms
Control systems
Controllers
Criteria
Design
Discrete time systems
distributed control
Distributions, Theory of (Functional analysis)
Dynamical systems
Integrators
Mathematical optimization
Mathematical research
multi-agent
Multiagent systems
Optimization
optimization control
Parameter estimation
Topology
China
ISSN:2227-7390, 2227-7390
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Shrnutí: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.
Bibliografie:ObjectType-Article-1
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ISSN:2227-7390
2227-7390
DOI:10.3390/math12213347