基于H_∞控制的Smith预估器及其在Wood-Berry精馏塔设计中的应用

Design of Smith predictor based on H_∞ control theory and its application in design of Wood-Berry distillation column

设计了对象具有加性不确定性时基于H∞控制的Smith预估器,将具有多个时间滞后系统的跟踪问题转化为标准H∞控制器设计问题。利用Smith预估器,可以有效地处理大时间滞后系统的跟踪问题,所设计的H∞控制器适用于多输入多输出系统。采用动态输出反馈方法,通过解两个Riccati不等式完成控制器的综合。将基于H∞控制论的Smith预估器应用于Wood-Berry精馏塔的设计,仿真结果表明了控制器的有效性和鲁棒性。

In consideration of the additive uncertainty of the plant, a Smith predictor based on H_∞ control theory was designed. The tracking problem with multiple time delay systems was converted to the design problem of a standard H_∞ controller. The Smith predictor is an effective controller for dealing with the tracking problem in the large time delay systems and suitable for the multiple-input-multiple-output (MIMO) systems. By using the dynamic output feedback method, two Riccati inequalities were solved to synthesize the controller. The Smith predictor based on H_∞ control theory was used to design a Wood-Berry distillation column. The simulation results demonstrate the validity and robustness of the controller.