一种飞控系统不确定性建模方法及其鲁棒控制

Uncertainty modeling and robust stabilization for large envelope flight control systems

中文关键词  鲁棒控制  不确定性描述  输出反馈  飞行控制系统  线性矩阵不等式

英文关键词  robust control  uncertainty description  output feedback  flight control systems  linear matrix inequality

中文摘要

      针对大包线飞行控制系统, 本文通过摄动参数标称化及多个工作点的数据拟合, 并将拟合误差视为范数有界不确定性, 给出了一种不确定模型描述方法, 以降低系统描述的保守性. 基于二次稳定性准则, 运用线性矩阵不等式的处理方法, 得到了大包线飞控系统动态输出反馈控制器的存在条件和设计方法. 进一步, 通过合适的匹配摄动参数和求解凸优化问题, 以参数向量2--范数的形式给出了闭环系统保持鲁棒稳定所允许的参数最大摄动范围估计方法, 建立了系统摄动参数与二次稳定性之间的联系. 最后通过对飞行控制系统的算例仿真, 验证了文中方法的有效性和可行性.

英文摘要

      We present a modeling method for uncertainty in the large envelope flight control systems to reduce the conservatism on system description. This method is based on the normalization of perturbation parameters and the data fitting at various operation points; the fitting error is treated as the norm-bounded uncertainty. The existence conditions and the design method for dynamic output feedback stabilization controllers are proposed on the basis of quadratic stability criterion; the perturbation parameters are properly matched. The approach for estimating the perturbation ranges is put forward via the convex optimization under the condition that the resulting closed-loop systems are robustly stable. This approach presents the ranges in the 2-norm form and establishes the relationship between perturbation parameters and the quadratic stability. All the formulas are derived in the form of linear matrix inequalities and can be realized conveniently. Simulation results of the flight control system demonstrate the effectiveness and feasibility of the proposed methods.