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Reliable Sliding-Mode Control for Markovian Jumping Systems Subject to Partial Actuator Degradation

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Abstract

In this work, a novel robust sliding-mode control (SMC) method has been provided for uncertain stochastic Markovian jumping systems subject to actuator degradation, such that the closed-loop system is globally asymptotically stable (with probability one). In the design of switching functions, a set of specified matrices are employed such that the connections among sliding surfaces corresponding to each mode are established. Then, a sliding-mode controller is synthesized to ensure the reachability of the specified switching surface despite actuator degradation and uncertainties. Finally, the simulation results illustrate the proposed method and the effectiveness.

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Acknowledgements

This work was supported in part by NNSF from China (61074041, 61004062), Shanghai ‘Chen Guang’ Program (10CG30), and Shanghai Leading Academic Discipline Project (B504).

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Authors and Affiliations

  1. Key Laboratory of Advanced Control and Optimization for Chemical Process (East China University of Science and Technology), Ministry of Education, Shanghai, 200237, P.R. China

    Bei Chen, Yugang Niu & Yuanyuan Zou

  2. Shanghai Electric Group Co., Ltd., Shanghai, P.R. China

    Tinggang Jia

Authors
  1. Bei Chen
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  2. Yugang Niu
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  3. Yuanyuan Zou
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  4. Tinggang Jia
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Correspondence to Yugang Niu.

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Chen, B., Niu, Y., Zou, Y. et al. Reliable Sliding-Mode Control for Markovian Jumping Systems Subject to Partial Actuator Degradation. Circuits Syst Signal Process 32, 601–614 (2013). https://doi.org/10.1007/s00034-012-9468-0

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  • DOI: https://doi.org/10.1007/s00034-012-9468-0

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