Abstract
A novel centralized controller design method is proposed for multivariable systems, whether square or nonsquare processes. First, the relationship between equivalent transfer function (ETF) and the pseudo-inverse of multivariable transfer matrix is derived. Second, the relative normalized gain array (RNGA)-based ETF parametrization method is extended to the nonsquare processes. Finally, a centralized proportional integral/proportional integral derivative (PI/PID) multivariable controller is obtained from the Maclaurin expansion. The effectiveness of the proposed approach is verified by analysis of several multivariable industrial processes; better overall performance is demonstrated compared with other centralized control methods.
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