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Finite-time reliable stabilization of uncertain semi-Markovian jump systems with input saturation

Author

Listed:
  • Aravindh, D.
  • Sakthivel, R.
  • Kong, Fanchao
  • Marshal Anthoni, S.

Abstract

In this study, we concentrate on the design problem of robust reliable control for uncertain semi-Markovian jump systems with input saturation over a specified finite interval of time. To exhibit the reality, a delay function that varies with respect to time and a more practical actuator fault model are included in the addressed system and the control design, respectively. By coupling the linear matrix inequality technique and the Lyapunov stability method with the finite-time theory, the required finite-time stabilization conditions are established to the system under consideration. The proposed reliable control gain matrices can be subsequently acquired by solving the aforementioned conditions with the support of existing convex optimization algorithms. To testify the correctness of the developed theoretical results and display the effectiveness of the proposed control design, an academic example is presented.

Suggested Citation

  • Aravindh, D. & Sakthivel, R. & Kong, Fanchao & Marshal Anthoni, S., 2020. "Finite-time reliable stabilization of uncertain semi-Markovian jump systems with input saturation," Applied Mathematics and Computation, Elsevier, vol. 384(C).
    • Handle: RePEc:eee:apmaco:v:384:y:2020:i:c:s0096300320303519
    DOI: 10.1016/j.amc.2020.125388
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    References listed on IDEAS

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    Cited by:

    1. Wang, Di & Liu, Can & Ding, Dawei & Gao, Suixiang & Chu, Ming, 2022. "Finite-time optimal tracking control using augmented error system method," Applied Mathematics and Computation, Elsevier, vol. 424(C).

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