柔性空间机械臂振动抑制的模糊终端滑模控制

针对载体位置不受控、姿态受控的情况,提出了柔性空间机械臂振动抑制的模糊终端滑模控制方案。利用假设模态法、系统动量守恒关系及拉格朗日方法,导出了柔性空间机械臂的系统动力学方程。为解决柔性空间机械臂轨迹跟踪控制及振动抑制问题,运用奇异摄动法将系统分解为慢变、快变两个子系统并分别设计了控制器。慢变子系统采用具有较强鲁棒性的模糊终端滑模控制方案,快变子系统则采用基于降阶状态观测器的线性二次型最优控制器(linear quadratic regulator,简称LQR)。数值模拟结果表明,本文的控制方案不仅保证了柔性空间机械臂载体姿态及机械臂各关节铰跟踪误差在有限时间内的收敛性,而且还大大地降低了滑模控制所固有的抖振,并对柔性臂的振动具有良好的抑制效果。

Fuzzy Terminal Sliding Mode Control for Vibration Suppression of Flexible Space Manipulator

A scheme of fuzzy terminal sliding mode control was proposed for vibration suppression of a flexible space manipulator base position of which was not controlled.The dynamical equation of the flexible space manipulator was derived by using the assumed mode method,linear momentum conservation of the system and the Lagrange method.To solve the problems of trajectory tracking control and vibration suppression of the flexible space manipulator,the singular perturbation approach was adopted to decompose the manip...