  This paper deals with the integration of input move-blocking into the
framework of suboptimal model predictive control. The blocked input
parameterization is explicitly considered as a source of suboptimality. A
straightforward integration approach is to hold back a manually generated
stabilizing fallback solution in some buffer for the case that the optimizer
does not find a better input move-blocked solution. An extended approach
superimposes the manually generated stabilizing warm-start by the move-blocked
control sequence and enables a stepwise improvement of the control performance.
In addition, this contribution provides a detailed review of the literature on
input move-blocked model predictive control and combines important results with
the findings of suboptimal model predictive control. A numerical example
supports the theoretical results and shows the effectiveness of the proposed
approach.
