Optimal generalized predictive functional control with applications to extended PID control for quadruple tank

Alotaibi, Sultan and Grimble, Michael; (2019) Optimal generalized predictive functional control with applications to extended PID control for quadruple tank. In: 25th International Conference on Automation and Computing (ICAC). IEEE, GBR. ISBN 9781728125183 (https://doi.org/10.23919/IConAC.2019.8895103)

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Abstract

Algorithm of optimal Generalized Predictive Functional Control is presented towards the control problem of linear discrete-time state-space multivariable systems. A quadruple tank system is simulated to demonstrate typical results. The proposed controller has been structured in a reduced order arrangement including a set of specified linear transfer-functions along with gains that are found to minimize a GPC cost-index. This approach enables a range of classical controller structures to be used in the feedback loop such as extended PI, PID or Lead-lag or a more general transfer function form. A MATLAB simulation was used to test the performance of the restricted structure controller for regulation and tracking problems and was compared against a classical PI Controller.