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Mathematical Problems in Engineering
Volume 2012, Article ID 329186, 14 pages
Research Article

Model-Free Adaptive Control Algorithm with Data Dropout Compensation

1School of Electrical Engineering & Automation, Henan Polytechnic University, Jiaozuo 454003, China
2Department of Automatic Control and Advanced Control Systems Laboratory, School of Electronics and Information Engineering, Beijing Jiaotong University, Beijing 100044, China

Received 28 November 2011; Revised 2 February 2012; Accepted 2 February 2012

Academic Editor: Gradimir V. Milovanović

Copyright © 2012 Xuhui Bu 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 convergence of model-free adaptive control (MFAC) algorithm can be guaranteed when the system is subject to measurement data dropout. The system output convergent speed gets slower as dropout rate increases. This paper proposes a MFAC algorithm with data compensation. The missing data is first estimated using the dynamical linearization method, and then the estimated value is introduced to update control input. The convergence analysis of the proposed MFAC algorithm is given, and the effectiveness is also validated by simulations. It is shown that the proposed algorithm can compensate the effect of the data dropout, and the better output performance can be obtained.