基于平方和的卫星大角度姿态机动非线性H_∞控制

Nonlinear H_∞ control of large angle attitude maneuvers for satellites using sum of square

研究了卫星大角度姿态机动过程中利用非线性H∞方法设计干扰抑制控制器问题。利用凸优化的方法进行两步联合的系统性方法对刚体卫星大角度姿态机动问题进行建模和控制。首先,非线性卫星姿态动力学和运动学方程转化为线性参数可变(linear parameter varying,LPV)系统;然后,在LPV系统基础上,提出了基于平方和数值计算工具的Lyapunov设计方法,分别给出了使系统稳定和干扰抑制的非线性H∞控制器设计方法。仿真结果表明了所设计控制器的有效性和可行性。

The problem addressed is satellite attitude control with disturbance avoidance using nonlinear H∞ approach.A two-step integrated and systematic approach is developed for the modeling and control of large angle maneuvers of a satellite through convex optimization.In the first step,the attitude dynamics of the satellite body are changed to a linear parameter variation form.In the second step,a Lyapunov based controller synthesis is performed based on the sum of squares（SOS） technique,the stabilizing and nonlinear H∞ disturbance avoidance controlers are given.Simulation results demonstrate the effectiveness and feasibility of the designed controller.