纯滞后特性的存在极大地影响着具有预置稳定度的ＬＱ（ｌｉｎｅａｒｑｕａｄｉａｔｉｃ）状态调节器的稳定裕量。通过Ｐａｄｅ逼近法对纯滞后环节降阶处理，将纯滞后对系统的影响反应到ＬＱ性能指标中，通过有限维状态反馈，实现了纯滞后对象的ＬＱ次优控制。仿真结果表明，该方法可以获得很好的过渡过程特性，对滞后时间变化的鲁棒性极好。 The existence of the pure hysteresis characteristic greatly affects the stability margin of the LQ (linearquadiatic) state regulator with preset stability. Through the Pade approximation method, the pure hysteresis step is reduced and the influence of the pure hysteresis on the system is reflected in the LQ performance index. Through the finite dimensional state feedback, the LQ suboptimal control of the pure hysteresis object is achieved. The simulation results show that this method can obtain good transient characteristics and has excellent robustness to lag time variation.