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针对高超声速飞行器巡航飞行控制问题,提出一种基于H∞的鲁棒控制方法。建立基于平衡点的线性不确定模型,将轨迹跟踪问题转换为一类H∞控制问题。在状态和控制输入不确定项满足匹配条件下,基于鲁棒稳定理论和线性矩阵不等式技术,推导出满足闭环系统内部稳定且满足一定控制性能的反馈增益选取条件。通过对非线性多变量高超声速飞行器纵向模型的轨迹跟踪仿真表明,所研究的控制方法可以确保对速度和高度指令的响应效果,并对模型中存在的参数摄动具有鲁棒性。
Aiming at the problem of Hypersonic cruise flight control, a robust control method based on H∞ is proposed. A linear uncertainty model based on the equilibrium point is established and the trajectory tracking problem is transformed into a class of H∞control problems. Based on the robust stability theory and the linear matrix inequalities, the condition of the feedback gain satisfying the internal stability of the closed-loop system and satisfying a certain control performance is derived under the conditions that the uncertainties of the state and control input satisfy the matching condition. The trajectory tracking simulation of a longitudinal model of a nonlinear multivariable hypersonic vehicle shows that the proposed control method can ensure the response to velocity and altitude commands and is robust to the parameter perturbations in the model.