Abstract
A new control strategy based on discrete-time variable structure systems theory is proposed to target the He’non mapping. This method enables the asymptotical stability of the control with uncertain discrete-time environments. Under auspices of the new designing strategy, the states of the system can reach the sliding manifold without chattering and converge exponentially to the zero states, in spite of the matched and mismatched perturbations. The efficacy of the suggested scheme was illustrated with the well-known He’non mapping, and results shown that it can be a promising candidate strategy to the other complex systems.
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Acknowledgements
This work aims to be published in memory of Professor Wenlin Li, who used to be a great mentor and also a very good friend of mine, unfortunately, Professor Li passed away several years ago, Professor Li explored a lot in sliding mode control, especially to the discrete time sliding mode control, Professor Li had published several papers, which should to be long last meaningful in the future. The knowledge of sliding mode control, especially about the discrete time case here is attributed to Professor Li, for his kindness, generosity and his help.
This work was supported in part by National Science Foundation of China (60850004, 61340041 and 61374079), and The Project-sponsored by SRF for ROCS, SEM to Yunzhong Song.
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Song, Y. (2018). Sliding Mode Based He’non Mapping Control. In: Jia, Y., Du, J., Zhang, W. (eds) Proceedings of 2017 Chinese Intelligent Systems Conference. CISC 2017. Lecture Notes in Electrical Engineering, vol 459. Springer, Singapore. https://doi.org/10.1007/978-981-10-6496-8_32
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DOI: https://doi.org/10.1007/978-981-10-6496-8_32
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