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A hidden mode observation approach to finite-time SOFC of Markovian switching systems with quantization

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Abstract

This paper investigates the finite-time static output feedback control of Markovian switching systems, where quantization effects are taken into consideration from plant to controller and controller to actuator, simultaneously. The resulting system is more general, where asynchronous control, quantization, actuator failure, and external disturbance are covered. Furthermore, a descriptor representation method is employed to eliminate both the coupling term and the quantization effects. Owing to a hidden mode observation approach, sufficient conditions are achieved to guarantee the finite-time stochastic boundedness of the resulting system, and the finite-time output feedback controller is designed. Finally, a vehicle’s throttle actuator is exploited to confirm the feasibility of the proposed method.

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Funding

The work of J. Cheng was supported by the National Natural Science Foundation of China under Grant NSFC: 61703150. The work of J. H. Park was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (Ministry of Science and ICT) (No. 2019R1A5A808029011).

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Authors and Affiliations

  1. College of Mathematics and Statistics, Guangxi Normal University, Guilin, 541006, People’s Republic of China

    Jun Cheng

  2. Department of Electrical Engineering, Yeungnam University, 280 Daehak-Ro, Kyongsan, 38541, Republic of Korea

    Ju H. Park

  3. School of Mathematics, Southeast University, Nanjing, 211189, China

    Jinde Cao

  4. School of Engineering, Qufu Normal University, Rizhao, 276826, China

    Wenhai Qi

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  1. Jun Cheng
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  4. Wenhai Qi
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Correspondence to Jun Cheng.

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Cheng, J., Park, J.H., Cao, J. et al. A hidden mode observation approach to finite-time SOFC of Markovian switching systems with quantization. Nonlinear Dyn 100, 509–521 (2020). https://doi.org/10.1007/s11071-020-05501-0

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