二次型最优的有限拍内模控制器设计

Design of Dead-beat Internal Model Controller with Quadratic Performance Index

针对生产中常见的时滞系统采用2自由度内模控制结构,使用计算机离散控制理论以及最优控制理论,提出了一种综合考虑控制能量及跟踪误差二次型最优的有限拍内模控制器设计方法;从而可以有效地保证系统在有限个采样周期内以较小能量实现良好的跟踪性能,提高控制的精度;然后使用Matlab仿真工具,选用一时滞系统实例进行最优有限拍控制器设计并在simulink下进行系统仿真,结果表明该设计方法可行,控制性能好,且控制器设计简单,调节参数少,具有良好的应用前景。

Based on the structure of the 2--degree--of--freedom internal model control （IMC） structure for process with time delay, a design method is proposed to realize the controller with minimization of the quadratic performance index for a given deadbeat number based on the principal of computer discrete control theory and optimal control theory. It can guarantee effectively the tracking performance with smaller energy, and improve the precision of control. Then an example of time--delay system is given to design this controller in the use of Matlab software. Simulation results under the simulink confirm the efficiency of the method, and show it has better performance and simple design and less parameters. All of these make it good application prospects.