Stability analysis and control design for a kind of nonlinear descriptor system via T-S fuzzy model with actuator saturation

Zhu, Bin; Zhang, Jingjun; Xing, Shuangyun; Sun, Changchun

doi:10.1109/chicc.2016.7553309

Cited by 1 publication

(1 citation statement)

References 15 publications

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“…T-S fuzzy control [40] is flexible approximate to a global nonlinear system using several local linear system model by membership functions. Sliding mode control (SM C) [27,31] based on T-S fuzzy is used extensively in various fields to stabilize the nonlinear system on a desired sliding mode surface.…”

Section: Introductionmentioning

confidence: 99%

Forecast analysis and sliding mode control on a stochastic epidemic model with alertness and vaccination

Zhang

2023

Math. Model. Nat. Phenom.

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In this paper, a stochastic SEIR epidemic model is studied with alertness and vaccination. The goal is to stabilize the infectious disease system quickly. The dynamic behavior of the model is analyzed and an integral sliding mode controller with distributed compensation is designed. By using Lyapunov function method, the sufficient conditions for the existence and uniqueness of global positive solutions and the existence of ergodic stationary distributions are obtained. The stochastic center manifold and stochastic average method are used to simplify the system into a one-dimensional Markov diffusion process. The stochastic stability and Hopf bifurcation are analyzed using singular boundary theory. An integral sliding mode controller with non-parallel distributed compensation is designed by linear matrix inequality (LMI) method, which realizes the stability of system and prevents the outbreak of epidemic disease. The correction of theoretical analysis and the effectiveness of controller are validated using numerical simulation performed in MATLAB/Simulink.

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Section: Introductionmentioning

confidence: 99%

Forecast analysis and sliding mode control on a stochastic epidemic model with alertness and vaccination

Zhang

2023

Math. Model. Nat. Phenom.

View full text Add to dashboard Cite

show abstract

Stability analysis and control design for a kind of nonlinear descriptor system via T-S fuzzy model with actuator saturation

Cited by 1 publication

References 15 publications

Forecast analysis and sliding mode control on a stochastic epidemic model with alertness and vaccination

Forecast analysis and sliding mode control on a stochastic epidemic model with alertness and vaccination

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