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Compensator design based on inverted decoupling for non-square processes

Abstract:

The design of decoupling controllers for multivariable systems with time delays is a complex issue, even more for non-square plants, and some approximations are usually required. In this study, based on the inverted decoupling structure, a model-based designed centralised controller is decomposed into two controllers: One is in the direct path and the other is in a feedback loop. Owing to the non-square nature of the process, the expression of the controller in the direct path might be very complicated, mainly for large-size systems. The main contribution of this study is the introduction of a new diagonal precompensator which to simplify the controller structure. The different possible configurations of the controller structure are analysed to satisfy the physical realisability of the compensators taking into account the possible existence of time delays and non-minimum phase behaviour. The control goal is to achieve a decoupled dynamic behaviour characterised by the bandwidth of each loop. Comparisons with existing works through several simulation examples demonstrate the effectiveness and significant performance improvement of the proposed methodology. The need of additional manipulated variables is illustrated.