The objective of the article is to provide an effective linearization contr
ol approach for a nonlinear system. Three reinforcement back propagation le
arning algorithms (RBPs), based on different step-ahead predictions, are pr
oposed to build the affine linear model of a nonlinear system by means of a
composed neural network structure. The approach is used to cancel the effe
ct of nonlinearity of a plant. Reinforcement back propagations can compensa
te the nonlinearity of the system dynamics between the outputs of the refer
ence model and the system responses. In other words, the role of the compos
ed neural plant is to perform model matching for a linearized system. Based
on the derivation of RBPs, a synthetic model, a reinforcement nonlinear co
ntrol system (RNCS) is developed. This scheme excels the conventional appro
aches and RBPs. The proposed Learning schemes are implemented to linearize
a pendulum system. The simulation has been done to illustrate the performan
ce of the proposed learning schemes.