Analytical Multiloop Control for Multivariable Systems with Time Delays
Analytical Multiloop Control for Multivariable Systems with Time Delays
复制标题
时滞多变量系统的分析多环控制
DOI：
10.1155/2020/8849483
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发表时间：
2020
期刊：
影响因子：
--
通讯作者：
P. Wei
中科院分区：
文献类型：
--
作者：
Zhiguo Wang;P. Wei
本文提出了一种改进多变量系统多回路控制器性能的新设计方法。建立了多环控制系统的动态特性和稳态特性与其参数之间的精确表达式。首先，引入等效传递函数（ETF）对多变量系统进行分解，在此基础上计算多环控制器参数；根据ETF矩阵的性质，用ETF矩阵代替逆开环传递函数，导出了多变量系统PI控制器的解析表达式。在本文提出的控制器设计方法中，不需要对过程模型的逆进行逼近，这意味着该方法可以应用于一些高维的多变量系统。算例的仿真结果验证了该方法的有效性。
In this paper, a new design method with performance improvements of multiloop controllers for multivariable systems is proposed. Precise expression is developed to show the relationship between the dynamic- and steady-state characteristics of the multiloop control system and its parameters. First, an equivalent transfer function (ETF) is introduced to decompose the multivariable system, based on which the multiloop controller parameters are calculated. According to the ETF matrix property, an analytical expression for the PI controller for multivariable systems is derived in terms of substituting the ETF matrix for the inverse open-loop transfer function. In the proposed controller design method, no approximation of the inverse of the process model is needed, implying that this method can be applied to some multivariable systems with high dimensions. The simulation results obtained from several examples demonstrate the effectiveness of the proposed method.