时滞不确定超高速电液比例系统的H∞控制器研究

Study of H_∞ Controllers of a Super High-speed Electro-hydraulic Proportional System with Uncertain Time Lag

根据Lyapunov稳定性原理,给出了具有状态和输入时滞的参数不确定系统鲁棒渐近稳定的充分条件,并采用LM I方法得出了满足鲁棒H∞性能指标的H∞控制器的解,最后通过超高速电液比例系统H∞控制器的设计,证明了该方法的有效性。

Based on the Lyapunov stability theorem, the paper presented sufficient conditions of robust asymptotic stability for a parameter system with uncertain time lag state and input. It used the LMI method and obtained the solution of H∞ controllers that satisfy robust H∞ performance indexes. The effectiveness of the method was proved through the design of H∞ controllors of super high-speed electro-hydraulic proportional systems.