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Mathematical Problems in Engineering
Volume 2016, Article ID 3978050, 11 pages
Research Article

Robust Fuzzy Control for Fractional-Order Uncertain Hydroturbine Regulating System with Random Disturbances

1Department of Electrical Engineering, Northwest A&F University, Shaanxi, Yangling 712100, China
2School of Electrical Engineering, Xi’an Jiaotong University, Shaanxi, Xi’an 710049, China

Received 4 May 2016; Accepted 8 September 2016

Academic Editor: Fazal M. Mahomed

Copyright © 2016 Fengjiao Wu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The robust fuzzy control for fractional-order hydroturbine regulating system is studied in this paper. First, the more practical fractional-order hydroturbine regulating system with uncertain parameters and random disturbances is presented. Then, on the basis of interval matrix theory and fractional-order stability theorem, a fuzzy control method is proposed for fractional-order hydroturbine regulating system, and the stability condition is expressed as a group of linear matrix inequalities. Furthermore, the proposed method has good robustness which can process external random disturbances and uncertain parameters. Finally, the validity and superiority are proved by the numerical simulations.