Pinning Control of the Coupled Distributed Parameter System with Time Delay
Kun Yuan, Kaifeng Zhang, Jinde Cao · Asian Journal of Control · 2018
Abstract In this paper, the synchronization for undirected and directed coupled distributed parameter systems (DPS) with delay by employing parabolic partial differential equation (PDE) theory and Lyapunov technique. In the case that the whole coupled system cannot synchronize by itself, the proportional‐spatial derivative (P‐sD) state feedback controller and the pinning scheme are designed to force the coupled DPS to synchronize. Finally, the effectiveness of the proposed control design methodology is demonstrated in numerical simulations.