【摘要】 理论上H∞状态反馈设计只要求解一个Riccati方程,但常会得出一种无意义的结果。提出H∞状态反馈设计还应该加一个鲁棒性约束,即灵敏度函数的峰值。增加了鲁棒约束下的设计是最佳的设计,才能得到最佳的扰动抑制性能。还指出H∞状态反馈设计中的性能指标γ和权系数都是有量纲的,并详细说明了性能指标和权系数的确定方法。以磁悬浮系统为例,对H∞状态反馈设计中的权系数进行了详细的讨论。所提出的设计思想对一般的状态反馈设计也是有益的。更多还原

【Abstract】 Theoretically there is only one Riccati equation needed to be solved in the H∞ state feedback design.But this may lead to an useless result.It proposed that a robust constraint must be added to the state feedback design.The peak value of the sensitivity function can be used as the robustness index.The state feedback design in addition with a robust constraint can also provide an optimal design for the disturbance attenuation problem.It also pointed out that the performance index γ and the weighting coefficients in the H∞ state feedback are all dimensional quantities and must be determined carefully and properly.An electromagnetic levitation system was used as a design example.The selection of γ and the weighting coefficients were discussed in detail.The design idea proposed in the paper is also helpful for the general state feedback design.更多还原