基于Volterra级数模型的内模控制方法

Internal Model Control for Uncertain Volterra Series System

针对一大类具有一定不确定性的非线性系统 ,提出基于Volterra级数模型的鲁棒内模控制器设计方法 .利用局部形式的小增益定理 ,得到在辨识模型和实际对象模型失配的情况下 ,闭环系统鲁棒稳定的充分条件 .对于设定点调节问题 ,得出闭环系统获得零稳态误差跟踪性能的充分条件 .通过对一个连续搅拌反应池 (CSTR)过程控制问题的仿真研究表明 ,应用该方法可以取得良好的控制效果 .

An internal model control strategy based on Volterra series model was proposed for a general class of uncertain nonlinear systems. Based on a local form of small gain theorem, the sufficient conditions, which guarantee the robust stability of the closed-loop system when the identified model was mismatched with the real model of the controlled system, and guarantee the zero-error tracking for setpoint regulation, were presented. The simulation results of continuously stirred tank reactor (CSTR) show that the proposed controller design strategy is effective.