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基于等价传递函数(ETF)理论,提出含有多时滞的高维多变量非方系统多环PI(preportional-integral)控制器设计方法.首先,利用等价传递函数与被控过程传递函数的广义逆之间关系推导出ETF的求解通式.接着,基于已获得的ETF,利用IMC-PID(internal model control-proportional integral derivation)原理设计控制器,再利用Maclaurin级数展开获得多环PI控制器参数.所提ETF算法不仅具有更高的精度且适应于高维非方系统.最后通过仿真实例验证了所提算法的简单性和有效性.
Based on the equivalent transfer function (ETF) theory, a multi-delay high-dimensional multi-variable non-square system pre-loop-integral controller design method is proposed.Firstly, by using the equivalent transfer function and the generalized definition of the controlled process transfer function Then, based on the obtained ETF, the controller is designed by the principle of IMC-PID (internal model control-proportional integral derivation), then the multi-loop PI controller is developed by Maclaurin series expansion The proposed ETF algorithm not only has higher accuracy but also adapts to high-dimensional non-square system.Finally, the simulation example is used to verify the simplicity and effectiveness of the proposed algorithm.