多变量时滞系统的伴随解耦控制

Adjoint Decoupling Control for Multivariable Time Delay Systems

化工生产过程中存在着大量的多变量时滞过程,由于模型输出变量间的耦合及时滞因子的影响,对于这类模型的控制往往很困难。首先利用伴随矩阵解耦控制方法对多变量时滞过程的输出进行解耦,该解耦方法不仅可以针对有输入输出时滞的多变量系统,也可以对有状态时滞的多变量系统进行解耦。考虑到解耦后的子系统比较复杂,在利用系统采样输入输出数据的基础上对解耦后的系统进行模型精简,然后利用简化模型设计基于内模原理(IMC)的PID控制器,实现解耦系统对定值信号的跟踪控制。最后通过2个化工过程中的例子进行仿真研究,证明该方法的有效性和优越性。

There are a large number of time-delayed processes in chemical industry. Due to the existence of coupling and time delay within these processes, the controller design for these processes is usually very difficult. In this paper, a decoupling controller, together with a model simplification method with IMC-PID controller design, is applied to deal with the afore-mentioned problems. Firstly, an extended adjoint decoupling control method is presented, which can not only deal with the multivariable systems with input/output delays but also the multivariable systems with state delays. Then, the obtained decoupled subsystems are simplified by a model reduction method based on the sampled unit-step response data. Based on the simplified model, an IMC-PID controller is designed to control the decoupled systems and to track a certain constant reference input. Finally, simulation results on two chemical processes are given to illustrate the effectiveness and advancement of the proposed method.