论文标题
使用多项式混乱的不确定离散时间系统的强大LQR
Robust LQR for Uncertain Discrete-Time Systems using Polynomial Chaos
论文作者
论文摘要
在本文中，提出了用于设计具有概率参数的离散时间线性系统控制器的多项式混乱框架。在凸优化公式中提出了此类系统的指数均方根稳定性的条件，并得出了合成最佳四次稳定控制器的算法。在一组选定点修剪的非线性F-16飞机模型的派生离散时间模型上展示了所提供的解决方案。
In this paper, a polynomial chaos based framework for designing controllers for discrete time linear systems with probabilistic parameters is presented. Conditions for exponential-mean-square stability for such systems are derived and algorithms for synthesizing optimal quadratically stabilizing controllers are proposed in a convex optimization formulation. The solution presented is demonstrated on the derived discrete-time models of a nonlinear F-16 aircraft model trimmed at a set of chosen points.
