Parameters identification of Krasnosel'skii-Pokrovskii model for piezo-actuated stages using a modified bat optimization algorithm based on levy fights trajectory

In order to describe the inherent hysteresis nonlinearity of the piezo-actuated stages, a Krasnosel'skii-Pokrovskii (KP) model is presented in the paper. The parameters of the KP model are identified by a modified bat optimization algorithm based on Levy fights trajectory. The modified bat optimization algorithm uses the Levy fights trajectory to improve the global searching ability and break away from the local optimum. Under different conditions of iterations, the performance of the modified bat optimization algorithm is compared with the performance of the bat algorithm, the cuckoo search algorithm in terms of the identification precision. It is proved that the proposed algorithm has great convergence rate with high degree of precision in identifying the KP model parameters from the simulation results. The output data of the KP model based on the modified bat optimization algorithm is in great agreement with the experimental data of the piezo-actuated stages.