分数阶微积分在滑模控制中的应用特性  

Application characteristics of fractional calculus in sliding mode control

作　　者：宋申民[1] 邓立为[1] 陈兴林[2] 

机构地区：[1]哈尔滨工业大学控制理论与制导技术研究中心,哈尔滨150086 [2]哈尔滨工业大学航天学院,哈尔滨150001

出　　处：《中国惯性技术学报》2014年第4期439-444,共6页Journal of Chinese Inertial Technology

基　　金：国家自然科学基金(61174037);国家自然科学基金创新群体项目(61021002);国家"973"计划(2012CB821205)

摘　　要：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。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.

关 键 词：分数阶滑模控制 分数阶滑模趋近律 分数阶微积分 航天器姿态 

分 类 号：V448.25[航空宇航科学与技术—飞行器设计]