Robust sampled-data control with random missing data scenario

Abstract

The problem of robust sampled-data control for uncertain dynamic systems in the presence of missing data has been investigated. By using stochastic variables with a Bernoulli distributed white sequence to model missing data, along with time-varying norm-bounded uncertainties, and the input delay approach for sampled-data systems, two models for the considered sampled-data control system are proposed as the consecutive missing data scenario. Moreover, when data are missing, the control signals are held as the last received data. Sufficient conditions for the existence of desired robust sampled-data controllers are presented in the form of a linear matrix inequality. A numerical example is given to illustrate the validity of the proposed methods and to compare the results between the two proposed models of the sampled-data control system.

Keywords:

• sampled-data control
• missing data
• robust control
• Lyapunov method

Acknowledgements

The authors would like to thank the editor and anonymous reviewers for their valuable comments and suggestions. Dr J.H. Park gives special thanks to his friend, Dr S.Y. Kim, for the continuous support and encouragement in his work.

Additional information

Funding

This research was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education [grant number 2013R1A1A2A10005201].