The purpose of this paper is to develop a Dynamic Sliding Mode Controller (DSMC) based on the Iinoya and Altpeter approach and the Sliding Mode Control (SMC) design procedure. The proposed approach is applied to chemical processes of high order with long dead time, and with inverse response. A simulation of a nonlinear mixing tank with variable delay, and an implementation on an Arduino Temperature Control Lab are used to test the controller. A comparison of the proposed approach (DSMC), and the SMC based on Internal Model Control (IMC) is presented to evaluate advantages and disadvantages of the proposal. The results show that the approach of the DSMC presented in this work reduces the chattering, compensates the effect of external disturbances, and of the parametric uncertainties. To measure the controller's performance, the Integral Square Error index (ISE) and Total Variation index (TV) are used.