双输入输出时滞过程解耦控制的解析设计

Analytical design of decoupling control for two-input two-output processes with time delays

针对化工生产中常见的双输入输出时滞过程,基于标准内模控制结构提出了一种解析设计解耦控制器矩阵的新方法.其突出优点是能够使标称系统各路输出响应之间完全解耦,并且能够在线以单调的方式整定控制器参数来适应对象的未建模动态,从而实现显著解耦调节.同时,对于实际中最常见的被控过程的加性和乘性不确定性,分析了控制系统保证鲁棒稳定性的充要条件,由此给出了基于谱半径判据的直观判定方法.最后,通过仿真实例验证了本文方法相对于近期其它方法的优越性.

A new analytical design method of decoupling controller matrix is proposed in terms of the standard internal model control structure for two-input two-output processes with time delays that are often encountered in chemical and industrial practice. Its advantage is that absolute decoupling for the nominal responses of system outputs can be implemented, and moreover, the controller parameters can be tuned on-line in a monotonous manner to cope with the plant unmodelled dynamics, so that significant decoupling regulation can be achieved. At the same time, for the process additive and multiplicative uncertainties mostly encountered in practice, the sufficient and necessary conditions for holding the control system robust stability are analyzed, and thus, an intuitive determination method is provided based on the spectral radius criterion. Finally, simulation examples are included to demonstrate the superiority of the proposed method over other recent anoroaches.