基于分段线性的飞翼布局飞机控制分配方法

A Piecewise Linear Control Allocation Approach for a Flying Wing Aircraft

针对飞翼布局多舵面飞机的非线性控制分配问题,提出了一种基于分段线性函数的控制分配方法。这一方法基于舵效的分段线性假设,将非线性控制分配问题简化为分段线性规划问题来处理,再通过将其转化为混合整形线性规划问题来求解。针对某飞翼无人机的非线性仿真结果表明,与传统基于舵效线性假设的控制分配方法相比,基于分段线性函数的控制分配方法可以明显地提高控制响应精度。在故障条件下,与传统方法相比其实际控制力矩与期望值之间的误差减小了近一个数量级。

A piecewise linear control allocation approach is presented for the solution ot the non-linear control allocation problem for a flying wing aircraft with redundant control effectors. The presented approach utilizes the piecewise linear assumption for the control effector moment data. This assumption allows the non-linear control allocation problem to be reduced to a piecewise linear program. In order to solve the piecewise linear program, it was re-formulated as a mixed-integer linear program. The approach was implemented in a nonlinear Simulink simulation of a flying wing unmanned aerial vehicle （UAV）. The analysis of the simulation results shows that the piecewise linear program approach results in improved tracking performance compared with the traditional control allocation approach that uses a linear approximation of the control moments. The control moments modeling errors for the nonlinear control allocation approach are an order of magnitude better on average than those for the linear control allocation approach when the aircraft is subjected to eontrol effector failures.