A Numerical Approach for Solving Nonlinear Optimal Control Problems Using the Hybrid Scheme of Fitness Dependent Optimizer and Bernstein Polynomials

In this paper, a heuristic scheme based on the hybridization of Bernstein Polynomials (BPs) and nature-inspired optimization techniques is presented to achieve numerical solution Nonlinear Optimal Control Problems (NOCPs) efficiently. The NOCP approximated by linear combination BPs with unknown coefficients. coefficients are estimated transforming into an error minimization problem formulating objective function. Genetic Algorithm (GA) Fitness Dependent Optimizer (FDO) used for solving function obtaining optimum values findings statistical results indicate represented hybrid offers encouraging outperforms most recent popular methods proposed in literature, which ultimately validates efficacy productivity recommended approach. Furthermore, analysis incorporated examine reliability stability suggested technique. Consequently, remarkable difference evident simplicity, flexibility, effectiveness compared other considered.