Event-Triggered Output-Feedback Backstepping Control of Sandwich Hyperbolic PDE Systems

• 成果类型: Article
• 署名作者: Wang, Ji; Krstic, Miroslav
• 署名单位: University of California System; University of California San Diego
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2021.3050447
• 发表日期: 2022
• 页码: 220-235
• 关键词: Backstepping; boundary control; distributed parameter system; event-triggered control

摘要

Motivated by vibration control of a mining cable elevator avoiding frequent actions of a massive actuator, which is a hydraulic cylinder driving a head sheave, we present an event-triggered output-feedback backstepping boundary controller for 2 x 2 coupled hyperbolic partial differential equations (PDEs) sandwiched by two ordinary differential equations (ODEs), through a two-step design including an output-feedback low-pass-filter-based backstepping boundary stabilization law and the subsequent design of a dynamic event-triggering mechanism. The existence of a minimal dwell-time between two triggering times, and exponential convergence in the event-based closed-loop system are proved in this article. In numerical simulations, the proposed control design is validated in the application of axial vibration control of a mining cable elevator.