Delay-Adaptive Boundary Control of Coupled Hyperbolic PDE-ODE Cascade Systems

• Published in: IEEE transactions on automatic control Vol. 69; no. 12; pp. 8156 - 8171
• Main Authors: Wang, Ji, Diagne, Mamadou
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.12.2024; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Actuators; Adaptive control; Adaptive systems; Backstepping; Boundary control; Closed loops; Control theory; Convergence; Deep sea vessels; Delay; Delay-adaptive control; Delays; Event detection; event-triggered control; Feedback control; Hyperbolic differential equations; hyperbolic partial differential equations (PDEs); Least squares approximations; least-squares identifier; Ordinary differential equations; Partial differential equations; Regulation; System effectiveness; Vibrations
• ISSN: 0018-9286; 1558-2523
• DOI: 10.1109/TAC.2024.3399629

This article presents a delay-adaptive boundary control scheme for a 2 × 2 coupled linear hyperbolic partial differential equation (PDE)-ordinary differential equation (ODE) cascade system with an unknown and arbitrarily long input delay. To construct a nominal delay-compensated control law, assumin...