绳系卫星的一种新型高阶滑模控制器设计

针对绳系卫星轨道转移控制问题，给出绳系卫星在轨机动模型并将面内运动处理为典型的欠驱动形式；为实现对面内摆角的跟踪控制，定义滑模面并建立积分链系统，设计一种新型高阶滑模系绳张力控制律，得到无抖振控制量，这种控制律在保证高精度跟踪的前提下，有效避免了控制抖振现象；关于滑模面的高阶滑模运动建立后，在平衡点对闭环系统线性化，根据劳斯判据，闭环系统在平衡点是局部渐近稳定的。最后，通过仿真分析，验证了所提出控制算法的有效性。

A Novel High Order Sliding Mode Controller Design for Tethered Satellite

This paper focuses on controller design for the tethered satellite systems. The dynamic equations of the tethered system in orbital maneuvering are established and the in-plane motion is formulated as a typical underactuated system. In order that the underactuated system can be forced to track the expected in-plane angle trajectory, an integrator chain system is derived for a redefined sliding surface and a tether tension control law is proposed based on a novel high-order sliding mode. This control law guarantees high-accuracy tracking and provides a chattering-free performance. After the establishment of a high-order sliding mode with respect to the redefined sliding surface in finite time, the closed-loop system is linearized at the equilibrium point. Afterwards, the closed-loop system is proved locally and asymptotically stable based on the Routh Criterion. Simulation results demonstrate the usefulness and effectiveness of the proposed control methodology.