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。
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 y 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.
出处
《电机与控制学报》
EI
CSCD
北大核心
2009年第2期282-286,共5页
Electric Machines and Control
基金
国家自然科学基金(60674102)
哈尔滨工业大学优秀青年教师培养计划(HIT.20060103)
关键词
H∞状态反馈
鲁棒性
灵敏度
磁悬浮系统
H ∞ state feedback
robustness
sensitivity
electromagnetic levitation system
