Correlation-Based Tuning of Decoupling Multivariable Controllers

The iterative data-driven method labelled Correlation-based Tuning (CbT) is considered in this paper for the tuning of linear time-invariant multivariable controllers. The approach allows one to tune some elements of the controller transfer function matrix to satisfy the desired closed-loop performance, while the other elements are tuned to mutually decouple the closed-loop outputs. Using CbT, perfect decoupling can be achieved by decorrelating a given reference with the non-corresponding outputs. The controller parameters are calculated either by solving a correlation equation (decorrelation procedure) or by minimizing a cross-correlation function (correlation reduction). The two approaches are compared via a simple numerical example. In addition, the correlation-reduction approach is applied to the simulation model of a gas turbine engine and compared to standard Iterative Feedback Tuning for MIMO systems.


Published in:
Automatica, 43, 9, 1481-1494
Year:
2007
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 Record created 2006-02-02, last modified 2018-01-27

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