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Disturbance attenuation for neutral Markovian jump systems with multiple delays

Author

Listed:
  • Mohanapriya, S.
  • Sweety, C. Antony Crispin
  • Sakthivel, R.
  • Parthasarathy, V.

Abstract

The work explores the study of a neutral Markovian jump system that contains multiple delays, external disturbances, and unknown non-linear uncertainties. To overcome the tracking problem, a modified repetitive controller infused with the higher equivalent-input-disturbance approach and the extended Smith predictor approach is suggested. To guarantee the mean-square asymptotic stability of the system, an appropriate mode-dependent loop-based Lyapunov–Krasovskii functional is used. The proposed controller explicitly forces the system output and accurately follows any supplied periodic reference signal. Subsequently, the efficiency of the recommended technique is demonstrated with the simulations that validate the outcomes by comparing them to the existing results.

Suggested Citation

  • Mohanapriya, S. & Sweety, C. Antony Crispin & Sakthivel, R. & Parthasarathy, V., 2023. "Disturbance attenuation for neutral Markovian jump systems with multiple delays," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    • Handle: RePEc:eee:chsofr:v:176:y:2023:i:c:s096007792301041x
    DOI: 10.1016/j.chaos.2023.114140
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    References listed on IDEAS

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    1. R. Sakthivel & M. Rathika & Srimanta Santra & M. Muslim, 2017. "Observer-based dissipative control for Markovian jump systems via delta operators," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(2), pages 247-256, January.
    2. Lan Zhou & Jinhua She, 2015. "Design of a robust output-feedback-based modified repetitive-control system," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(5), pages 808-817, April.
    3. Gao, Fang & Wu, Min & She, Jinhua & Cao, Weihua, 2016. "Disturbance rejection in nonlinear systems based on equivalent-input-disturbance approach," Applied Mathematics and Computation, Elsevier, vol. 282(C), pages 244-253.
    4. Lihong Rong & Xiuyan Peng & Biao Zhang, 2017. "A Reduced-Order Fault Detection Filtering Approach for Continuous-Time Markovian Jump Systems with Polytopic Uncertainties," Complexity, Hindawi, vol. 2017, pages 1-14, January.
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