Uncoupling Continuous Time Systems through a Transfer Function Matrix Technique
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Abstract
Multivariable control systems have several inputs and outputs; each input controls more than one output, and each output is controlled by more than one input. This coupling feature presents mathematical complications for solving and controlling such systems. This work aims to develop a decoupling technique using a transfer function matrix for multiple-input, multiple-output multivariable systems. The proposed technique determines a compensator so the multivariate coupled system can become a set of multiple uncoupled single-input, single-output systems. With this transformation, each input only controls one output, and each output is controlled by a single input, facilitating any control solution. The final developed technique uses a computational methodology to achieve the proposed objective. To demonstrate the efficiency of the implemented algorithm, an experimental validation is performed through mathematical simulations of different test plants.
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