本文针对挠性卫星姿态机动和振动抑制问题,给出一种基于多项式平方和(sum of squares,SOS)的非线性局部镇定控制方法.根据姿态系统结构特征,在此基础上,采用SOS结合S-procedure理论,得出相应的非线性局部可镇定条件.该条件可借助有效凸优化工具进行检验,当优化问题可解时,可构造非线性姿态控制器的解析解.最后,将文中方法应用于某型挠性卫星姿态控制.仿真结果表明,在实现大角度姿态快速机动的同时,有效抑制了挠性附件振动.
Transient performance for output regulation problems of linear discrete-time systems with input saturation is addressed by using the composite nonlinear feedback(CNF) control technique. The regulator is designed to be an additive combination of a linear regulator part and a nonlinear feedback part. The linear regulator part solves the regulation problem independently which produces a quick output response but large oscillations. The nonlinear feedback part with well-tuned parameters is introduced to improve the transient performance by smoothing the oscillatory convergence. It is shown that the introduction of the nonlinear feedback part does not change the solvability conditions of the linear discrete-time output regulation problem. The effectiveness of transient improvement is illustrated by a numeric example.
The existing results on airship dynamic model linearization are usually achieved under the assumption that the airship trim state has a linear velocity with nonzero axial and normal components. This means that the direction of airship velocity is not coincident with the axis in the trim state and the deflection angles of the air rudders are different from their attack angles. However, these differences are not explicitly distinguished when calculating the air rudders' aerodynamic force. In this paper, to build a more accurate airship dynamic model, aerodynamic forces and moments produced by the air rudders are deduced for the case that the direction of airship velocity is not coincident with the trim axis. A special trim state that all linear and angular velocities are zeros except axial and normal linear velocity, adopted by most research on airship dynamic model linearization, is selected to linearize the six degree airship dynamic model for simplicity and for comparison. Both the control forces of the propelling system and the air rudders are linearized to achieve more control inputs for the linear model. The extra control inputs provided by the propelling system can be used to stabilize the airship when the air rudders are invalid due to low speed of the airship or the constraint of air rudder mechanical strength. The nuance between the new linearized model and those deduced in the literature is discussed.
