Non-Linear Predictor-Based Dynamic Bandwidth Allocation over TDM-PONs: Stability Analysis and Controller Design

Non-linear predictor-based dynamic bandwidth allocation (NLPDBA) schemes for improving the time division multiplexed passive optical networks (TDM-PONs) upstream transmission efficiency have been investigated in an ad hoc manner. In this paper, we establish a general state space model to analyze the stability of the NLPDBA schemes from the TDM-PON system´s point of view, and propose controller design guidelines to maintain the system stability under different scenarios. We prove that a TDM-PON system with NLPDBA is stable by proper pole placements as the traffic changes. Our analysis suggests a straightforward framework for designing and applying the NLPDBA scheme for TDM-PONs that ensures stability.