  This paper presents detailed insights of embedding Carleman linearization
into nonlinear systems for designing Volterra model-based control technique.
Volterra series method is a competent mathematical tool, which extends the
convolution integral for linear systems to nonlinear systems. First, we utilize
the Carleman linearization technique to arrive at the bilinear approximation of
the nonlinear system. Secondly, the third-order Volterra model representation
is computed from the Carleman bilinearized model. Then, Volterra model-based
control strategy is developed. The proposed method is effectuated on the
benchmark van de Vusse reactor exhibiting non-minimum phase response. The open
and closed-loop simulation results are presented, demonstrating the superiority
and practical utility of the proposed method.
