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Finite-time asynchronous dissipative filtering of conic-type nonlinear Markov jump systems

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Abstract

In the present study, the finite-time asynchronous dissipative filter design problem for the Markov jump systems with conic-type nonlinearity is studied. The hidden Markov model can describe the asynchronism embodied in the system modes and the filter modes reasonably. Moreover, a suitable Lyapunov-Krasovskii function is utilized and linear matrix inequalities are applied to obtain adequate conditions. These techniques guarantee the finite-time boundedness and strict dissipativity of the filtering error dynamic system. Furthermore, the design problems of the passive filter and the H∞ filter are studied by adjusting the three parameters \({\cal U}\), \({\cal G}\) and \({\cal V}\). Finally, the filter gains and the optimal index α* are obtained and the correctness and feasibility of the designed approach are verified by a simulation example.

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Acknowledgements

This work was supported in part by National Natural Science Foundation of China (Grant Nos. 61673001, 61722306), State Key Program of National Natural Science Foundation of China (Grant No. 61833007), Foundation for Distinguished Young Scholars of Anhui Province (Grant No. 1608085J05), Key Support Program of University Outstanding Youth Talent of Anhui Province (Grant No. gxydZD2017001), and Serbian Ministry of Education, Science and Technological Development (Grant No. 451-03-68/2020-14/200108).

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Authors and Affiliations

  1. Key Laboratory of Intelligent Computing and Signal Processing (Ministry of Education), School of Electrical Engineering and Automation, Anhui University, Hefei, 230601, China

    Xiang Zhang & Shuping He

  2. Department of Automatic Control, Robotics and Fluid Technique, Faculty of Mechanical and Civil Engineering, University of Kragujevac, Kraljevo, 36000, Serbia

    Vladimir Stojanovic

  3. Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Institute of Automation, Jiangnan University, Wuxi, 214122, China

    Xiaoli Luan & Fei Liu

Authors
  1. Xiang Zhang
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  2. Shuping He
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  3. Vladimir Stojanovic
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  4. Xiaoli Luan
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  5. Fei Liu
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Correspondence to Shuping He.

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Zhang, X., He, S., Stojanovic, V. et al. Finite-time asynchronous dissipative filtering of conic-type nonlinear Markov jump systems. Sci. China Inf. Sci. 64, 152206 (2021). https://doi.org/10.1007/s11432-020-2913-x

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