Boundary Event-Triggered Control of Highly Re-Entrant Manufacturing System Described by a Nonlinear Hyperbolic PDE

摘要

We design an event-triggered boundary controller for a continuum model of highly re-entrant manufacturing systems for which the influx rate of product is the controlled quantity. The designed controller can potentially operate in networked control systems subject to limited information sharing resources. A Lyapunov argument is utilized to derive the boundary controller together with a feasible event generator that avoids the occurrence of Zeno behavior for the closed-loop system. The global stability estimate is established using the logarithmic norm of the state due to the system's nonlinearity and positivity of the density. Simulation results that support the proposed theoretical statements are provided.