Optimal control for linear system using genetic programming
A. Vincent Antony Kumar, Pagavathigounder Balasubramaniam · Optimal Control Applications and Methods · 2008
Abstract In this paper, optimal control for a linear system with quadratic performance is obtained using genetic programming (GP). The goal is to find the optimal control with reduced calculus effort using non‐traditional methods. The obtained GP solution is compared with the traditional Runge–Kutta method. To obtain optimal control, the solution of matrix Riccati differential equation is computed based on grammatical evolution. The accuracy of the solution of the GP approach to the problem is qualitatively better than traditional methods. An illustrative numerical example is presented for the proposed method. Copyright © 2008 John Wiley & Sons, Ltd.