Optimal Control for Linear Partial Differential Algebraic Equations Using Simulink

In this paper, optimal control for linear partial differential algebraic equations (PDAE) with quadratic performance is obtained using Simulink. By using the method of lines, the PDAE is transformed into a differential algebraic equations (DAE). Hence, the optimal control of PDAE can be found out by finding the optimal control of the corresponding DAE. The goal is to provide optimal control with reduced calculus effort by the Simulink solutions of the matrix Riccati differential equation (MRDE). Accuracy of the Simulink solution to this problem is qualitatively better. The advantage of the proposed approach is that, once the Simulink model is constructed, it allows to evaluate the solution at any desired number of points spending negligible computing time and memory. The corresponding solution curves can be obtained from the Simulink model without writing any codes. An illustrative numerical example is presented for the proposed method.