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SCIENCE CHINA Information Sciences, Volume 63, Issue 5: 152202(2020) https://doi.org/10.1007/s11432-019-1521-5

Necessary and sufficient conditions for normalization and sliding mode control of singular fractional-order systems with uncertainties

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  • ReceivedJun 1, 2019
  • AcceptedJul 22, 2019
  • PublishedMar 27, 2020

Abstract

The sliding mode control (SMC) problem for a normalized singular fractional-order system (SFOS) with matched uncertainties was investigated. Firstly, SFOS was normalized under constrained conditions. Then, the linear sliding mode (SM) function was designed using a fractional-order (FO) positive definite matrix and a linear matrix inequality (LMI). The SM controller was subsequently constructed based on switching laws. Finally, the feasibility of the method was evaluated using a numerical example.


Acknowledgment

This work was supported by National Natural Science Foundation of China (Grant No. 61573008), Natural Science Foundation of Shandong Province (Grant No. ZR2016FM16), and Post-Doctoral Applied Research Projects of Qingdao (Grant No. 2015122). The authors would like to thank the anonymous reviewers for their valuable suggestions.


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