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针对工业过程中含有多时滞的高维多变量非方系统,基于等价传递函数理论,研究其集中式PI控制器设计问题.利用等价传递函数(ETF)与非方被控对象传递函数广义逆之间的关系,提出一种精度更高的ETF参数化算法,并推导出ETF模型的解析通式.所提出的ETF算法既避免了求广义逆的复杂运算,又提高了控制性能,且适用于高维非方系统.仿真实例验证了所提出的ETF算法的有效性和优越性.
Aiming at the high dimensional multivariable non-square system with multiple delays in industrial processes, the design problem of centralized PI controller is studied based on the equivalent transfer function theory. By using equivalent transfer function (ETF) and non-square controlled object transfer function In this paper, an ETF parameterization algorithm with higher accuracy is put forward and the analytical formula of ETF model is deduced.The proposed ETF algorithm not only avoids the complicated operation of generalized inverse but also improves the control performance Which is suitable for high-dimensional non-square systems.The simulation examples verify the validity and superiority of the proposed ETF algorithm.