Parameter Identification for Fractional-order Chaotic System by Using Nelder–Mead Simplex Gravitational Search Algorithm

摘要

Aiming at parameter identification for fractional-order chaotic systems, a Nelder-Mead simplex gravitational search algorithm (NMGSA) is proposed. The search and replacement mechanism in the simplex search method and the particles update method in gravitational search algorithm is combined together in the proposed algorithm. Simplex search method has powerful local searching capacity, which is helpful for particles to jump out from local optimum, thus avoiding the gravitational search algorithm plunging falling into local optimum. Standard test functions are used to test the NMGSA, and the test results show that the algorithm has good stability and global search capability. Then, NMGSA is applied in the parameter identification for fractional-order Lorenz system. The results prove the effectiveness and robustness of NMGSA, when solve the problem of parameter identification of fractional-order chaotic system.