Distributed Fixed-Time Optimization for Second-Order Nonlinear Multiagent Systems: State and Output Feedback Designs

• 成果类型: Article
• 署名作者: Gong, Ping; Han, Qing-Long
• 署名单位: Guangdong University of Foreign Studies; Swinburne University of Technology
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3318202
• 发表日期: 2024
• 页码: 3198-3205
• 关键词: Optimization; cost function; CONVERGENCE; nonlinear dynamical systems; Directed graphs; Multi-agent systems; Symmetric matrices; consensus; distributed fixed-time optimization; heterogeneous second-order nonlinear dynamics; multiagent systems (MASs); time-varying cost function

摘要

This article addresses the problem of distributed fixed-time optimization for heterogeneous second-order nonlinear multiagent systems with local time-varying cost functions. The objective is to cooperatively minimize a convex global time-varying cost function formed by a sum of local time-varying cost functions in a fixed time, where each local cost function is not necessarily required to be convex. A state-feedback distributed fixed-time optimization controller with an estimator-based distributed optimization term is first presented. In order to overcome the lack of the absolute velocity measurements, a distributed fixed-time observer is designed to estimate the absolute velocity information of each agent. Based on the designed observer, a novel output-feedback distributed fixed-time optimization controller using only local output measurements is further presented. Both of the presented state- and output-feedback distributed fixed-time optimization controllers ensure that all agents reach a consensus while minimizing the global cost function within a fixed time. The restrictive bound of the fixed time is estimated explicitly, which is irrelevant to any initial conditions. Finally, a numerical simulation is provided to validate the results.