The optimum fractional-order modeling and controlling for Ion-exchange Polymer-Metal Composite drive

In order to make exploratory research more meaningful, it was necessary to establish an accurate mathematical model for IPMC(Ion-exchange Polymer-Metal Composite) driver. In this paper, a method of obtaining the fractional-order model parameters (coefficients and order) by optimization of the objective function based on MATLAB fminsearch algorithm was proposed. Moreover, it was shown that the identified model by fminsearch algorithm with experimental data was fitted better comparing with higher accuracy vinagre algorithm in frequency domain. So, the stability of system was determined by more_sols function. The simulation results showed that the IPMC fractional-order mathematical model optimized by the fminsearch algorithm was accurate and stable, so it could be used to describe the IPMC driver accurately. Finally, optimum fractional-order controller was designed for IPMC fractional-order model. The feasibility and effectiveness of the controller were verified based on analysis of the simulation results.