  Chimera referring to a coexistence of coherent and incoherent states, is
traditionally very difficult to control due to its peculiar nature. Here, we
provide a recipe to construct chimera states in the multiplex networks with the
aid of multiplexing-delays. The chimera state in multiplex networks is produced
by introducing heterogeneous delays in a fraction of inter-layer links,
referred as multiplexing-delay, in a sequence. Additionally, the emergence of
the incoherence in the chimera state can be regulated by making appropriate
choice of both inter- and intra-layer coupling strengths, whereas the extent
and the position of the incoherence regime can be regulated by appropriate
placing and {strength} of the multiplexing delays. The proposed technique to
construct such {engineered} chimera equips us with multiplex network's
structural parameters as tools in gaining both qualitative- and
quantitative-control over the incoherent section of the chimera states and, in
turn, the chimera. Our investigation can be of worth in controlling dynamics of
multi-level delayed systems and attain desired chimeric patterns.
