Internal Model Control Based on Singular Value Decomposition and Its Application to Non-square Processes
基于奇异值分解的内模控制方法及在非方系统中的应用

A novel internal model control (IMC) method based on singular value decomposition (SVD) is proposed for the non-square processes of which the input numbers do not equal the output numbers in complicated industrial manufacturing processes. The method can realize decoupling of non-square processes and eradicating unrealizable factors by inserting compensated terms. Meanwhile, a non diagonal filter is designed on the basis of SVD matrix theory, which makes control system not only bear the capacity of high-dimensional decoupling and fast response, but also have strong robustness due to the novel filtering structure. Simulation results have proved the effectiveness and reliability of the proposed method.