柔性卫星系统的振动自适应边界控制  

Adaptive vibration boundary control for a flexible satellite system

作　　者：刘屿[1] 付云 刘伟东[1] 吴忻生[1] LIU Yu;FU Yun;LIU Wei-dong;WU Xin-sheng(School of Automation Science and Technology,South China University of Technology,Guangzhou Guangdong 510641,China)

机构地区：[1]华南理工大学自动化科学与工程学院,广东广州510641

出　　处：《控制理论与应用》2018年第7期973-980,共8页Control Theory & Applications

基　　金：国家自然科学基金项目(61203060);广东省科技计划项目(2017B090910006;2016B090912003;2016B090927010;2016B010126001);华南理工大学中央高校基本科研业务费项目(2017ZD058);国家留学基金委项目([2016]3192)资助~~

摘　　要：针对受外部干扰和具有结构参数不确定性的柔性卫星系统,为了抑制其振动和避免控制溢出问题,采用Hamilton变分原理和Euler-Bernoulli梁理论建立了结构无穷维偏微分方程模型,随后基于该无穷维模型设计了带有干扰自适应律的自适应边界控制对柔性卫星振动进行主动控制,并证明了闭环柔性卫星控制系统解的存在性、唯一性和收敛性.最后,仿真结果验证了所设计的自适应边界控制算法的有效性.To suppress the vibration and avoid the control spillover problem of a flexible satellite system with the external disturbances and system parametric uncertainties,an adaptive boundary control with disturbance adaptive law is proposed based on the infinite dimensional partial differential equation model derived by Hamilton’s principle and Euler-Bernoulli beam theory.Under the designed boundary control,the existence,uniqueness and convergence of the solution for the closed-loop flexible satellite system are proven.The simulation results illustrate the effectiveness of the proposed adaptive boundary control.

关 键 词：柔性卫星 振动控制 边界控制 自适应算法 适定性 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]