Robust Predictive Controller Based on GOBF Modeling and LMIs Techniques for MISO Systems

A. Douik(1*), J. Ghabi(2), H. Messaoud(3)

(1) National School of Engineers of Monastir, Tunisia
(2) Laboratory of Automatic Control and Signal Processing (ATSI), Tunisia
(3) National School of Engineers of Monastir, Tunisia
(*) Corresponding author


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Abstract


We propose in this paper an algorithm for robust predictive control for Multi-Inputs Single-Output (MISO) systems decomposed on Generalized Orthonormal Basis Functions (GOBF). A min-max optimisation problem is solved by introducing techniques of Linear Matrix Inequalities (LMIs) where the constraints interest the measurement signals and the parameter uncertainties of the model coefficients. The uncertainty parameter domain is an ellipsoid that can be updated by applying Unknown But Bounded Error (UBBE) approaches.
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Keywords


Robust Predictive Control; Generalized Orthonormal Basis Functions; Min-Max Optimisation; Linear Matrix Inequalities; Linear Programming; MISO; Ellipsoid; UBBE

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References


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