高超声速飞行器的LPV鲁棒变增益控制

摘要

For the complicated aerodynamics characteristic and severely parameters uncertainty of nonlinear longitudinal model of a hypersonic vehicle, a novel robust variable gain controller design methodology based on linear parameter varying (LPV) is developed. Firstly, the nonlinear model is transformed into a LPV form by Jacobian linearization of nonlinear plant. And then the polytopic decomposition of the LPV model is obtained by a tensor-product (T-P) model transformation method. So the robust variable gain controller is designed. combined with H∞ robust control and gain scheduling, to provide the longitudinal stability for the hypersonic vehicle. The proposed method can not only avoid the complex design process of nonlinear methods, but also restrain the effects of model parameters change in complicated fight conditions. The digital simulation results prove the availability of the proposed method.%针对高超声速飞行器复杂的气动特性和严重参数不确定的纵向非线性模型,提出了一种基于线性变参数(linear parameter varying,LPV)的鲁棒变增益控制方法.首先,采用雅克比线性化方法将非线性系统LPV化,并结合张量积(tensor-product,T-P)模型转换方法进行LPV系统的多胞变换,得到LPV多胞系统;然后,采用H∞鲁棒控制和增益调度策略设计了鲁棒变增益控制器,保证高超声速飞行器的纵向稳定.该方法不仅避免了复杂的非线性控制器设计过程,而且能够有效地抑制模型参数变化.仿真结果验证了算法的有效性.