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Finite-time control for Markovian jump systems subject to randomly occurring quantization

Author

Listed:
  • Kang, Wei
  • Gao, Qingfei
  • Cao, Menglong
  • Cheng, Jun

Abstract

This paper is concerned with the issue of finite-time control for Markovian jump systems randomly occurring quantization. By absorbing the phenomena of unmeasurable state and randomly occurring quantization, a novel nonhomogeneous Markovian switching system is constructed, and an observer-based controller and non-fragile observer are designed. By utilizing Lyapunov function method, sufficient admissibility conditions are derived for the stability of the underlying system in a finite-time domain. Finally, a DC motor model is presented to explain the feasibility and validity of the proposed design method.

Suggested Citation

  • Kang, Wei & Gao, Qingfei & Cao, Menglong & Cheng, Jun, 2020. "Finite-time control for Markovian jump systems subject to randomly occurring quantization," Applied Mathematics and Computation, Elsevier, vol. 385(C).
    • Handle: RePEc:eee:apmaco:v:385:y:2020:i:c:s0096300320303647
    DOI: 10.1016/j.amc.2020.125402
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    Cited by:

    1. Kaviarasan, Boomipalagan & Kwon, Oh-Min & Park, Myeong Jin & Sakthivel, Rathinasamy, 2023. "Reduced-order filtering for semi-Markovian jump systems against randomly occurring false data injection attacks," Applied Mathematics and Computation, Elsevier, vol. 444(C).
    2. Sun, Shaoxin & Dai, Xin & Wang, Zhiliang & Zhou, Yu & Xie, Xiangpeng, 2022. "Robust finite-time H∞ control for Itô stochastic semi-Markovian jump systems with delays," Applied Mathematics and Computation, Elsevier, vol. 430(C).
    3. Nguyen, Ngoc Hoai An & Kim, Sung Hyun, 2021. "Asynchronous H∞ observer-based control synthesis of nonhomogeneous Markovian jump systems with generalized incomplete transition rates," Applied Mathematics and Computation, Elsevier, vol. 411(C).

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