Distributed Optimal Consensus Control of Multiagent Systems Involving State and Control Dependent Multiplicative Noise

• 成果类型: Article
• 署名作者: Jin, Nana; Xu, Juanjuan; Zhang, Huanshui
• 署名单位: University of Jinan; Shandong University; Shandong University of Science & Technology
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3246422
• 发表日期: 2023
• 页码: 7787-7794
• 关键词: Ito stochastic system; multiagent systems; optimal consensus control; parameterized generalized algebraic Riccati equation

摘要

This article aims to solve the multiobjective optimization control problem by investigating the consensus problem of multiagent simultaneous optimization with state and control dependent multiplicative noise. The main contributions of this work are two-fold. First, the optimal consensus control problem is solved by designing the free item of an optimal controller, and the coefficient of the feedback gain is obtained based on analyzing a parameterized generalized algebraic Riccati equation. Second, we derive a new consensus controller that comprises two parts different from the current consensus. One part minimizes a linear quadratic index with a singular control weighting matrix, and the other affords the multiagent systems to achieve mean square consensus.