Output Regulation of Piezoelectric Tube Actuated Flexible Optical Fiber Using the Port Hamiltonian Framework

This work introduces a port Hamiltonian system approach for an optical fiber actuated in two perpendicular directions using a piezoelectric tube, achieving desired periodic trajectories in both directions. The dynamics of the piezo tube actuator are represented by a finite-dimensional system, while the optical fiber is represented by an infinite-dimensional one. Additionally, the actuator and optical fiber are interconnected in a power-preserving manner. A control method for output regulation is proposed for the interconnected system, utilizing the internal model principle. The stability analysis of the closed-loop systems is also investigated. The proposed control method is validated through numerical simulations, demonstrating its effectiveness.