Cascade PID control of some processes with distributed parameters through the (Mpdx) method with approximating solutions

Continuing the paper (2013) the analogical modeling and the numerical simulation of a cascade PID control diagram from Fig. 1 is presented, containing two distributed parameters processes, each one modeled through an equation with partial derivatives of second order with two independent variables.Through the numerical integration, the method of the Matrix of Partial Derivatives of the State Vector (Mpdx) is used too, associated with approximating solutions. The unitary and systemized character of this method is highlighted, considered known from the previous papers. (2009, 2011, 2013).Like in the case of paper [1], a program of numerical simulation for the entire PID cascade control scheme was elaborated, resulting a more complete phenomenological interpretation of the obtained results and performances.