H_∞控制状态反馈与瑞利商精细积分

H ∞ control state feedback and Rayleigh quotient precise integration

根据结构力学与最优控制的模拟理论，指出状态反馈Ｈ∞控制黎卡提方程中的最优参数γ－２，实质上就是结构振动或稳定理论中的瑞利商最小本征值。在此基础上对时不变系统给出了精细积分法，可以求出几乎是计算机精度的最优参数γ－２。

Based on the theory of analogy of structural mechanics and optimal control, the optimal induced norm γ -2  of state feedback H ∞ control is shown to be the fundamental Rayleigh quotient eigenvalue in structural vibration or Euler stability problems. The precise integration of time invariant system is proposed for the Riccati equation of H ∞ optimal control, so that its parameter of induced norm γ -2  can be computed up to the computer precision.