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Non-parametric Dual Control of Non-minimum Phase Linear Dynamic Plant Using Shunt Compensator

Anastasia Raskina*, Ekaterina Chzhan, Darya Yareshchenko, and Maria Videnina
International Journal of Control, Automation, and Systems, vol. 20, no. 11, pp.3614-3623, 2022

Abstract : This article describes a new design approach of dual control systems for non-minimum phase dynamic systems which involve the use of shunt compensator, the type of which is determined by the non-parametric identification algorithm. In this study the dynamic system is represented with the observation data and the model whose analytical form is unknown and that has no a priori information. The identification algorithm is based on the rule of extracting essential variables in a non-parametric model which allows determining the order of the difference equation of the plant model. The information obtained is necessary to select the type of parallel compensator or shunt accurately. Both the shunt and the plant form an extended object that satisfies the conditions presented by the strict minimum-phase system. The use of the proposed control scheme for a linear dynamic plant makes it possible to synthesize a non-parametric dual control algorithm. An illustrative example of linear dynamic control system is presented to show the effectiveness of the proposed method. The identification of the plant was carried out preliminarily and the type of compensator was chosen. Further stage of non-parametric dual controller design was implemented to achieve control goals. The simulation results show that the application of the approach allows achieving better control efficiency indicators in comparison with the PID controller.

Keyword : Dual control algorithm, linear dynamic system, non-minimum-phase plant, non-parametric identification.

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