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长流程生产过程不同回路之间存在耦合和时滞,是一个复杂的多输入多输出(Multiple Input Multiple Output,MIMO)多重时滞系统,其控制器参数整定尤为困难。为此,提出了一种基于谱离散方法的多重时滞系统PID参数整定方法,该方法运用多重时滞对象模型的伴随矩阵构造解耦矩阵,并将解耦的多重时滞系统以状态空间形式表达,通过采用谱离散方法限定闭环特征根的分布区域进行PID参数整定。由于无需模型约简即可进行参数整定,提高了多重时滞系统PID参数的整定效率。运用该方法对Wood-Berry二元精馏塔模型进行PID参数整定并仿真,并与其他方法比较,表明该方法在响应速度和扰动抑制方面具有优越性。预计提出的方法在其他长流程生产过程PID控制器参数整定方面也将有广泛的应用前景。
It is a complex multiple input multiple output (MIMO) multiple time-delay system with coupling and time lag between different loops in the long-run production process. The tuning of the controller parameters is particularly difficult. For this reason, a PID parameter tuning method based on spectral discrete method is proposed, which uses the adjoint matrix of multiple time-delay object model to construct decoupling matrix and decouples the multiple time-delay system in the form of state space The tuning of PID parameters is performed by using spectral discrete method to define the distribution area of the closed-root eigenvalues. Since parameter reduction can be done without model reduction, the tuning efficiency of PID parameters of multiple time-delay systems is improved. The PID parameters of Wood-Berry Binary Fractionator are set and simulated by this method and compared with other methods, which shows that the proposed method has superiority in response speed and disturbance rejection. It is expected that the proposed method will also have a wide range of application prospects in the tuning of PID controller parameters in other long-run production processes.