基于多项式的多不确定参数控制律稳定性评估

基于多项式理论,研究了鲁棒D域稳定和评估空间自适应网格划分方法。在传统只分析单个不确定性参数对动态系统稳定性影响的基础上,实现了多个不确定参数同时摄动对系统稳定性的评估。基于该方法,以一种轴对称飞行器为研究对象,完成了在多种参数组合摄动下的纵向控制律稳定性评估,评估结果直观精确的显示了该飞行器纵向稳定和不稳定区域。

Stability Evaluation of Flight Control Laws with Multi-uncertain Parameters Based on Polynomial Method

Based on the polynomial theory, we study the robust D-region stability and the adaptive grid division algorithm of evaluation space. By improving the traditional single uncertain parameter stability evaluation method for dynamic system, a new stability evaluation method of multi uncertain parameters coupled perturbation is achieved. In order to verify this method, an axial symmetry vehicle''s longitudinal control law is evaluated with combined multi-uncertain parameters perturbation, and the assessment results exhibit the accurate longitudinal stability and instability regions.