Homotopy perturbation method for solving singular linear quadratic optimal control problems

Abstract

This paper solves singular linear quadratic optimal control problems via homotopy perturbation method and the regularization method. First, optimal control problems research status and the theory of homotopy perturbation method are discussed. Second, the singular optimal control problems are solved by using regularization method which changed singular problems into non-singular problems, and combining homotopy perturbation method. Finally, the numerical example is given, which verify the efficiency of homotopy perturbation method for solving the singular linear quadratic optimal control problems.