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A novel reaching law approach of quasi-sliding-mode control for uncertain discrete-time systems

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Abstract

A novel discrete-time reaching law was proposed for uncertain discrete-time system, which contained process noise and measurement noise. The proposed method reserves all the advantages of discrete-time reaching law, which not only decreases the band width of sliding mode and strengthens the system robustness, but also improves the dynamic performance and stability capability of the system. Moreover, a discrete-time sliding mode control strategy based on Kalman filter method was designed, and Kalman filter was employed to eliminate the influence of system noise. Simulation results show that there is no chattering phenomenon in the output of controller and the state variables of controlled system, and the proposed algorithm is also feasible and has strong robustness to external disturbances.

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Authors and Affiliations

  1. National Key Laboratory of Vessel Integrated Power System Technology, Naval University of Engineering, Wuhan, 430033, China

    Lei Yuan  (袁雷), Jian-qing Shen  (沈建清), Fei Xiao  (肖飞) & Heng-li Wang  (王恒利)

Authors
  1. Lei Yuan  (袁雷)
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  2. Jian-qing Shen  (沈建清)
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  3. Fei Xiao  (肖飞)
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  4. Heng-li Wang  (王恒利)
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Correspondence to Lei Yuan  (袁雷).

Additional information

Foundation item: Project(50721063) supported by the National Natural Science Foundation of China

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Yuan, L., Shen, Jq., Xiao, F. et al. A novel reaching law approach of quasi-sliding-mode control for uncertain discrete-time systems. J. Cent. South Univ. 19, 2514–2519 (2012). https://doi.org/10.1007/s11771-012-1304-y

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  • DOI: https://doi.org/10.1007/s11771-012-1304-y

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