Asymptotical Mean-Square Stabilization of Networked Control Systems Operating Over Multipath Routing Networks

• 成果类型: Article
• 署名作者: Tan, Cheng; Zhang, Zhengqiang; Zhang, Huanshui; Li, Yuzhe; Wong, Wing Shing
• 署名单位: Qufu Normal University; Shandong University of Science & Technology; Northeastern University - China; Chinese University of Hong Kong
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2024.3351866
• 发表日期: 2024
• 页码: 4681-4688
• 关键词: Packet loss; Routing; DELAYS; Stochastic processes; reduced order systems; Transforms; Stochastic systems; Multipath routing network; networked control system (NCS); delay-dependent algebraic Riccati equation (DDARE); Packet loss; stabilization; transmission delay

摘要

In this article, we mainly study an integrated networked control system operating over multipath routing networks, where the delivered control signal in each path experiences both transmission delay and packet loss. These imperfections significantly compromise system performance and may even cause instability. For such a system, we derive, for the first time, the necessary and sufficient stabilization condition utilizing a delay-dependent algebraic Riccati equation. Different from many previous works, one significant contribution is that our control policy is designed as the feedback of an extended state that contains the current available state and relevant past control information. Furthermore, we introduce an existence and uniqueness theorem for the maximum packet loss rate in symmetric systems. Notably, we derive its closed-form expression specifically in the scalar case.