Application characteristics of fractional calculus in sliding mode control

In view of the information memory and genetic characteristics of fractional calculus operator, the application characteristics of fractional calculus operator in sliding mode control theory were studied from two aspects: i.e. the allotted fractional order sliding mode reaching law and the fractional order sliding mode control law. Firstly, a fractional order sliding mode reaching law was deduced based on several reaching laws of conventional sliding mode control theory, and then the convergence characteristics of this law was proved. Secondly, a fractional order sliding mode control was designed for spacecraft attitude control system. Finally, numerical simulations and comparative analysis were conducted to validate the exceptional performance of the proposed controller, which show that, compared with the traditional reaching laws and traditional sliding mode control law, the fractional reaching law has good smoothness characteristics, and the fractional sliding mode control law has better anti-interference and strong robustness.