H<sub>∞</sub> filter design for a class of delayed Hamiltonian systems with fading channel and sensor saturation

Weiwei Sun; Mengyang Qiu; Xinyu Lv; Weiwei Sun; Mengyang Qiu; Xinyu Lv

doi:10.3934/math.2020188

AIMS Mathematics

2020, Volume 5, Issue 4: 2909-2922. doi: 10.3934/math.2020188

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Research article

H_∞ filter design for a class of delayed Hamiltonian systems with fading channel and sensor saturation

Institute of Automation, Qufu Normal University, Qufu 273165, China

Received: 03 February 2020 Accepted: 09 March 2020 Published: 19 March 2020
MSC : 35Q93

This technical note is concerned with the problem of H_∞ filtering for a class of time delay nonlinear Hamiltonian systems with wireless network communication. The fading channel phenomenon and sensor saturation in the output measurements are considered. A H_∞ filter model is constructed to solve the issue of state estimation for the Hamiltonian systems with time varying delay in the state. Some sufficient conditions are proposed to obtain effective filter gain and achieve the H_∞ performance for the augmented system consisted of the Hamiltonian system and the filter. Simulation results illustrate the validity of the main results.
- delayed Hamiltonian systems,
- filter,
- fading channel,
- sensor saturation
Citation: Weiwei Sun, Mengyang Qiu, Xinyu Lv. H∞ filter design for a class of delayed Hamiltonian systems with fading channel and sensor saturation[J]. AIMS Mathematics, 2020, 5(4): 2909-2922. doi: 10.3934/math.2020188

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Abstract

This technical note is concerned with the problem of H_∞ filtering for a class of time delay nonlinear Hamiltonian systems with wireless network communication. The fading channel phenomenon and sensor saturation in the output measurements are considered. A H_∞ filter model is constructed to solve the issue of state estimation for the Hamiltonian systems with time varying delay in the state. Some sufficient conditions are proposed to obtain effective filter gain and achieve the H_∞ performance for the augmented system consisted of the Hamiltonian system and the filter. Simulation results illustrate the validity of the main results.

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