Abstract
This paper is concerned with the problem of H ∞ control for uncertain two-dimensional (2-D) state delay systems described by the Roesser model. Based on a summation inequality, a sufficient condition to have a delay-dependent H ∞ noise attenuation for this 2-D system is given in terms of linear matrix inequalities (LMIs). A delay-dependent optimal state feedback H ∞ controller is obtained by solving an LMI optimization problem. Finally, a simulation example of thermal processes is given to illustrate the effectiveness of the proposed results.
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Acknowledgements
This work is supported in part through National Natural Science Foundation of China (Grant No. 61075062, 61273116), Natural Science Foundation of Zhejiang Province (Grant No. LZ12E07003, Y1090805).
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Xu, J., Nan, Y., Zhang, G. et al. Delay-dependent H ∞ Control for Uncertain 2-D Discrete Systems with State Delay in the Roesser Model. Circuits Syst Signal Process 32, 1097–1112 (2013). https://doi.org/10.1007/s00034-012-9507-x
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DOI: https://doi.org/10.1007/s00034-012-9507-x