Assessment of the GPC control quality using non-Gaussian statistical measures

Domański, P. D. ; Ławryńczuk, M.

International Journal of Applied Mathematics and Computer Science, Tome 27 (2017) no. 2, pp. 291-307.

Résumé

This paper presents an alternative approach to the task of control performance assessment. Various statistical measures based on Gaussian and non-Gaussian distribution functions are evaluated. The analysis starts with the review of control error histograms followed by their statistical analysis using probability distribution functions. Simulation results obtained for a control system with the generalized predictive controller algorithm are considered. The proposed approach using Cauchy and Lévy α-stable distributions shows robustness against disturbances and enables effective control loop quality evaluation. Tests of the predictive algorithm prove its ability to detect the impact of the main controller parameters, such as the model gain, the dynamics or the prediction horizon.

Détail

Keywords: control performance assessment, GPC control, non Gaussian PDF, Cauchy PDF, Lévy α-stable PDF

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