Optimal control for linear singular system using genetic programming

In this paper, optimal control for linear singular system with quadratic performance is obtained using genetic programming (GP). The goal is to provide optimal control with reduced calculus effort by comparing the solutions of the matrix Riccati differential equation (MRDE), obtained from well known traditional Runge–Kutta (RK) method and genetic programming method. To obtain the optimal control, the solution of MRDE is computed based on grammatical evolution. Accuracy of the solution of the GP approach to the problem is qualitatively better. An illustrative numerical example is presented for the proposed method.