A New Multivariable Generalized Minimum-Variance Controller with Pole-Zero Placement

A.S. Zayed, A. Hussain, and L.S. Smith


Multivariable self-tuning design, pole-zero placement, minimum-variance control, multivariable water bath system, nonminimum phase system


This article presents the derivation of a new robust multivariable adaptive controller, which minimizes a cost function, incorporating system input, system output, and set point. It provides an adaptive mechanism that ensures that both the closed-loop poles and zeros are placed at their prespeciļ¬ed positions. The proposed design overcomes the shortcomings of other pole placement designs by combining the robustness of classical control strategy of pole-zero placement with the flexibility of self-tuning generalized minimum variance control. It tracks set-point changes with the desired speed of response, penalises excessive control action, and can be applied to nonminimum phase systems. Additionally, at steady state, the controller has the ability to regulate the constant load disturbance to zero. Example simulation results using both simulated and real plant models demonstrate the effectiveness of the proposed controller.

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