Nonlinear FOPID and Active Disturbance Rejection Hypersonic Vehicle Control Based on DEM Biogeography-Based Optimization

Abstract

This paper proposes an accurate system model independent resilient control approach with heuristic parameter optimization algorithm for air-breathing hypersonic vehicle tracking control. The control action is generated by the combination of nonlinear fractional-order proportional-integral-derivative (FOPID) and the active disturbance rejection control (ADRC). In particular, the FOPID controller increases two-degree-of-freedom variables, which improves the precision and stability of the control effect. The ADRC controller possesses aspects of the assimilation characteristics of the modern control theory and does not rely on the accurate mathematical model function, which is very suitable for a hypersonic vehicle system with parameter uncertainties and disturbances. Meanwhile, a new differential evolution exponential–cosine mixed migration (DEM) strategy for determining the biogeography-based optimization (BBO) migration rate to improve the optimization algorithm is proposed, which is mainly used for calculating tuning parameters of the FOPID ADRC. The improved hybrid algorithm is verified versus 14 benchmark functions and the practical optimization problems of the hypersonic vehicle vertical FOPID ADRC system are verified to illustrate the improved performance with the proposed approach. The effectiveness and robustness of the proposed method was verified by the simulation results.