Distributed optimization design for high-order multi-agent systems

• Published in: 2015 34th Chinese Control Conference (CCC) pp. 7251 - 7256
• Main Authors: Zhang, Yanqiong, Hong, Yiguang
• Format: Conference Proceeding Journal Article
• Language: English
• Published: Technical Committee on Control Theory, Chinese Association of Automation 01.07.2015
• Subjects: Agents (artificial intelligence); Algorithms; Conferences; Control systems; Convergence; Cost function; Design engineering; Distributed optimization; Dynamics; Expert systems; Gradient-based algorithms; Graph theory; High-order integrator; Integrals; Laplace equations; Multi-agent systems; Optimization; Protocols
• DOI: 10.1109/ChiCC.2015.7260788

In this paper, the distributed optimization problem for a continuous-time multi-agent systems is investigated. Different from most of the distributed optimization, we consider the dynamics of the agents, which are described in the high-order integrator form. Then we propose a distributed protocol design based on the gradient algorithm and integral feedback for the considered agent-network under a connected communication topology. A sufficient condition for the control parameters is given to make all the agents converge to optimal solution of the distributed optimization problem. Moreover, we also provide an example to illustrate the theoretical results.