CAJ | 학술논문

针对分数阶微积分算子的信息记忆与遗传特性，从分数阶滑模趋近律与分数阶滑模控制律两方面，对分数阶微积分算子在滑模控制理论中的应用特性进行了研究。首先，从传统滑模控制理论的几种趋近律入手，引出分数阶滑模趋近律并分析其收敛特性。其次，针对航天器姿态控制系统，设计了一种分数阶滑模控制器。最后，对比数值仿真验证了所设计控制器的良好性能，与传统滑模趋近律和传统滑模控制律相比，分数阶滑模趋近律具有较好的平滑特性，分数阶滑模控制律具有更好的抗干扰性与强鲁棒性。
침대분수계미적분산자적신식기억여유전특성，종분수계활모추근률여분수계활모공제률량방면，대분수계미적분산자재활모공제이론중적응용특성진행료연구。수선，종전통활모공제이론적궤충추근률입수，인출분수계활모추근률병분석기수렴특성。기차，침대항천기자태공제계통，설계료일충분수계활모공제기。최후，대비수치방진험증료소설계공제기적량호성능，여전통활모추근률화전통활모공제률상비，분수계활모추근률구유교호적평활특성，분수계활모공제률구유경호적항간우성여강로봉성。
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.