Finite-Time Stability for Non-Gaussian Stochastic Distribution Systems via T-S Fuzzy Modeling

2021 ◽  
pp. 9-14
Author(s):  
Xiang Gu ◽  
Xiaoli Zhang ◽  
Yang Yi
Keyword(s):  
Finite Time ◽  
Distribution Systems ◽  
Fuzzy Modeling ◽  
Time Stability ◽  
Finite Time Stability ◽  
Non Gaussian ◽  
Stochastic Distribution

scholarly journals Fuzzy Filter-Based FDD Design for Non-Gaussian Stochastic Distribution Processes Using T-S Fuzzy Modeling

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Yang Yi ◽  
Yue-Yue Zhao ◽  
Song-Yin Cao
Keyword(s):  
Distribution Systems ◽  
Filter Design ◽  
Fuzzy Model ◽  
Weight Vector ◽  
Fuzzy Modeling ◽  
Fault Detection And Diagnosis ◽  
Control Input ◽  
Fuzzy Filter ◽  
Non Gaussian ◽  
Stochastic Distribution

This paper studies the fuzzy modeling problem and the fault detection and diagnosis (FDD) algorithm for non-Gaussian stochastic distribution systems based on the nonlinear fuzzy filter design. Following spline function approximation for output probability density functions (PDFs), the T-S fuzzy model is built as a nonlinear identifier to describe the dynamic relationship between the control input and the weight vector. By combining the designed filter and the threshold value, the fault in T-S weight model can be detected and the stability of error system can also be guaranteed. Moreover, the novel adaptive fuzzy filter based on stochastic distribution function is designed to estimate the size of system fault. Finally, the simulation results can well verify the effectiveness of the proposed algorithm for the constant fault and the time-varying fault, respectively.

scholarly journals Finite-Time Stability of MIMO Nonlinear Systems Based on Robust Adaptive Sliding Control: Methodology and Application to Stabilize Chaotic Motions

IEEE Access ◽  
2021 ◽  
Vol 9 ◽  
pp. 21759-21768
Author(s):  
Ha Le Nhu Ngoc Thanh ◽  
Mai The Vu ◽  
Ngoc Phi Nguyen ◽  
Nguyen Xuan Mung ◽  
Sung Kyung Hong
Keyword(s):  
Nonlinear Systems ◽  
Finite Time ◽  
Time Stability ◽  
Chaotic Motions ◽  
Sliding Control ◽  
Finite Time Stability ◽  
Mimo Nonlinear Systems ◽  
Robust Adaptive ◽  
Control Methodology

scholarly journals Finite-time stability of linear stochastic fractional-order systems with time delay

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Lassaad Mchiri ◽  
Abdellatif Ben Makhlouf ◽  
Dumitru Baleanu ◽  
Mohamed Rhaima
Keyword(s):  
Time Delay ◽  
Fractional Order ◽  
Finite Time ◽  
Stochastic Analysis ◽  
Fractional Order Systems ◽  
Time Stability ◽  
Finite Time Stability ◽  
Analysis Techniques ◽  
Generalized Gronwall Inequality ◽  
Stability Of The Solution

AbstractThis paper focuses on the finite-time stability of linear stochastic fractional-order systems with time delay for $\alpha \in (\frac{1}{2},1)$ α ∈ ( 1 2 , 1 ) . Under the generalized Gronwall inequality and stochastic analysis techniques, the finite-time stability of the solution for linear stochastic fractional-order systems with time delay is investigated. We give two illustrative examples to show the interest of the main results.

scholarly journals On necessary and sufficient conditions for output finite-time stability

Automatica ◽  
2021 ◽  
Vol 125 ◽  
pp. 109427
Author(s):  
Konstantin Zimenko ◽  
Denis Efimov ◽  
Andrey Polyakov ◽  
Artem Kremlev
Keyword(s):  
Finite Time ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Time Stability ◽  
Finite Time Stability ◽  
Necessary And Sufficient
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