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Event-triggered fault tolerant control for Markov jump systems via a proportional–integral intermediate estimator

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  • Gu, Yang
  • Shao, Yiyu
  • Li, Liwei
  • Shen, Mouquan

Abstract

This paper is dedicated to a proportional–integral intermediate estimator based fault-tolerant control method for Markov jump systems with event-triggered inputs. A proportional–integral type intermediate estimator is established to reconstruct sensor and actuator faults, as well as system states. A dynamic event-triggered mechanism is designed to reduce unnecessary transmissions between the controller and the actuator. A threshold-dependent fault-tolerant controller is established to actively compensate for actuator faults. Finsler’s lemma is adopted to decouple the control gain, the observer gain and the Lyapunov variable. At last, the proposed estimation method is verified by a comparison example.

Suggested Citation

  • Gu, Yang & Shao, Yiyu & Li, Liwei & Shen, Mouquan, 2024. "Event-triggered fault tolerant control for Markov jump systems via a proportional–integral intermediate estimator," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
  • Handle: RePEc:eee:chsofr:v:180:y:2024:i:c:s0960077924001048
    DOI: 10.1016/j.chaos.2024.114553
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    References listed on IDEAS

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    1. Wang, Weiping & Sun, Yue & Yuan, Manman & Wang, Zhen & Cheng, Jun & Fan, Denggui & Kurths, Jürgen & Luo, Xiong & Wang, Chunyang, 2021. "Projective synchronization of memristive multidirectional associative memory neural networks via self-triggered impulsive control and its application to image protection," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    2. Vadivel, R. & Hammachukiattikul, P. & Gunasekaran, Nallappan & Saravanakumar, R. & Dutta, Hemen, 2021. "Strict dissipativity synchronization for delayed static neural networks: An event-triggered scheme," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    3. Yin, Kai & Yang, Dedong, 2023. "Sampled-data-based dynamic event-triggered asynchronous control of continuous-time positive Markov jump systems," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    4. Pishro, Aboozar & Shahrokhi, Mohammad & Sadeghi, Hamed, 2022. "Fault-tolerant adaptive fractional controller design for incommensurate fractional-order nonlinear dynamic systems subject to input and output restrictions," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
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