卫星姿态滑模变结构控制的广义逆方法

Generalized inverse matrix method for sliding mode variable structure control of satellite attitude

对于卫星姿态滑模变结构控制问题,文献[1]提出了反馈线性化方法,但在病态情形中给出的确定逆矩阵方法涉及一个参数,如果参数过大,则控制精度较差;如果参数过小,则控制能量消耗较大。针对这一问题本文提出了利用广义逆矩阵求解控制律的方法,这种方法不仅控制精度高,而且能够大幅度地节约控制能量。

A feedback linearization method is proposed in reference [1] to resolve the problem of sliding mode variable structure control of satellite attitude. But in singularity case, the method to determine inverse matrix is related to a parameter. Control precision is low if the parameter is bigger, while greater energy is wasted if the parameter is littler. In the paper, a generalized inverse matrix method is applied to resolve control law. The method not only obtains good control result, but also saves energy greatly.