Event-Triggered Boundary Control of 2 x 2 Semilinear Hyperbolic Systems

• 成果类型: Article
• 署名作者: Strecker, Timm; Cantoni, Michael; Aamo, Ole Morten
• 署名单位: University of Melbourne; Norwegian University of Science & Technology (NTNU)
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3265501
• 发表日期: 2024
• 页码: 418-425
• 关键词: Heuristic algorithms; CONVERGENCE; Linear systems; data models; Stability criteria; Robustness; Prediction algorithms; boundary control; distributed-parameter systems; event-triggered control; semilinear hyperbolic systems

摘要

In this article, we present an event-triggered boundary control scheme for hyperbolic systems. The trigger condition is based on predictions of the state on determinate sets, and the control input is updated only when the predictions deviate from the reference by a given margin. Nominal closed-loop stability, the absence of Zeno behavior, and robustness to uncertainty and disturbances, are all established analytically. For the special case of linear systems, the trigger condition can be expressed in closed-form as an L-2-scalar product of kernels with the distributed state. The presented controller can also be combined with existing observers to solve the event-triggered output-feedback control problem. A numerical simulation demonstrates the effectiveness of the proposed approach.