Pinning control of the coupled distributed parameter system with time delay. (English) Zbl 1432.93113
Summary: 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.
MSC:
| 93B52 | Feedback control |
| 93B70 | Networked control |
| 93C20 | Control/observation systems governed by partial differential equations |
| 93C43 | Delay control/observation systems |
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