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摘要: 针对化工生产中常见的多输入多输出时滞过程,基于单位反馈闭环控制结构提出一种新的解析设计解耦控制器矩阵的方法.其突出优点是克服现有的数值化求解方法的局限,能够实现标称系统输出响应之间的显著乃至完全解耦,并且能够在线以单调方式整定解耦控制器矩阵的可调参数来适应被控过程的未建模动态.同时,对于实际中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,从而给出在线整定解耦控制器矩阵的可调参数的规则.最后以仿真实例验证了本文方法的优越性.Abstract: Within the framework of a unity feedback closed-loop control structure, a new analytical design method of decoupling controller matrix is proposed for multiple-input-multiple-output processes with time delays often encountered in chemical and industrial practice. Its dominant merit is that it overcomes the deficiency of existing methods based on numerical calculation and can realize significant or even absolute decoupling decoupling between the nominal responses of system outputs. Moreover, the adjustable parameters of the decoupling controller matrix can be tuned on-line in a monotonous manner to cope with the unmodelled process dynamics. At the same time, sufficient and necessary conditions for holding the control system robust stability are analyzed in the presence of the process additive and multiplicative uncertainties often encountered in practice, and correspondingly, the on-line rule for tuning the adjustable parameters of the decoupling controller matrix is provided. Finally, simulation examples are included to demonstrate the superiority of the proposed method.
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