柔性卫星系统的振动自适应边界控制

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.

Adaptive vibration boundary control for a flexible satellite system

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.