The Experts below are selected from a list of 15594 Experts worldwide ranked by ideXlab platform
Xiaojun Ban - One of the best experts on this subject based on the ideXlab platform.
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stability analysis of the simplest takagi sugeno fuzzy control system using popov criterion
International Journal of Innovative Computing Information and Control, 2007Co-Authors: Xiaojun Ban, X Z Gao, Xianlin Huang, Hang YinAbstract:In this paper, the mathematical properties of the simplest Takagi-Sugeno (TS) fuzzy controller are first investigated in detail. Next, based on the well-known Popov criterion with Graphical Interpretation, a sufficient condition in the frequency domain is proposed to guarantee the globally asymptotical stability of the simplest T-S fuzzy system. A performance comparison is also made between the simplest T-S fuzzy and conventional linear controllers. It is concluded that the simplest T-S fuzzy controller outperforms its linear counterparts, when both the disturbance and sensor noise are considered.
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Stability analysis of the simplest Takagi-Sugeno fuzzy control system using circle criterion
Information Sciences, 2007Co-Authors: Xiaojun Ban, X Z Gao, Xianlin Huang, A. V. VasilakosAbstract:In this paper, we present two sufficient conditions in the frequency domain for the global stability analysis of the simplest Takagi-Sugeno (T-S) fuzzy control system, based on the circle criterion and its Graphical Interpretation. These conditions are significant in Graphically designing the simplest T-S fuzzy controller in the frequency domain. Four numerical examples are provided to demonstrate the efficiency of our two frequency domain-based conditions. Furthermore, this T-S fuzzy controller and the linear proportional controllers are also compared. It is concluded that the simplest T-S fuzzy controller can outperform the linear proportional controllers in a noisy environment with external disturbances.
Joel C Miller - One of the best experts on this subject based on the ideXlab platform.
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edge based compartmental modelling for infectious disease spread
Journal of the Royal Society Interface, 2012Co-Authors: Anja Slim, Joel C Miller, Erik M VolzAbstract:The primary tool for predicting infectious disease spread and intervention effectiveness is the mass action susceptible–infected–recovered model of Kermack & McKendrick. Its usefulness derives largely from its conceptual and mathematical simplicity; however, it incorrectly assumes that all individuals have the same contact rate and partnerships are fleeting. In this study, we introduce edge-based compartmental modelling, a technique eliminating these assumptions. We derive simple ordinary differential equation models capturing social heterogeneity (heterogeneous contact rates) while explicitly considering the impact of partnership duration. We introduce a Graphical Interpretation allowing for easy derivation and communication of the model and focus on applying the technique under different assumptions about how contact rates are distributed and how long partnerships last.
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edge based compartmental modeling for infectious disease spread part i an overview
arXiv: Populations and Evolution, 2011Co-Authors: Joel C Miller, Anja C Slim, Erik M VolzAbstract:The primary tool for predicting infectious disease spread and intervention eectiveness is the mass action Susceptible-Infected-Recovered model of Kermack and McKendrick [24]. Its usefulness derives largely from its conceptual and mathematical simplicity; however, it incorrectly assumes all individuals have the same contact rate and contacts are eeting. This paper is the rst of three investigating edge-based compartmental modeling, a technique eliminating these assumptions. In this paper, we derive simple ordinary dierential equation models capturing social heterogeneity (heterogeneous contact rates) while explicitly considering the impact of contact duration. We introduce a Graphical Interpretation allowing for easy derivation and communication of the model. This paper focuses on the technique and how to apply it in dierent contexts. The companion papers investigate choosing the appropriate level of complexity for a model and how to apply edge-based compartmental modeling to populations with various sub-structures.
A. V. Vasilakos - One of the best experts on this subject based on the ideXlab platform.
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Stability analysis of the simplest Takagi-Sugeno fuzzy control system using circle criterion
Information Sciences, 2007Co-Authors: Xiaojun Ban, X Z Gao, Xianlin Huang, A. V. VasilakosAbstract:In this paper, we present two sufficient conditions in the frequency domain for the global stability analysis of the simplest Takagi-Sugeno (T-S) fuzzy control system, based on the circle criterion and its Graphical Interpretation. These conditions are significant in Graphically designing the simplest T-S fuzzy controller in the frequency domain. Four numerical examples are provided to demonstrate the efficiency of our two frequency domain-based conditions. Furthermore, this T-S fuzzy controller and the linear proportional controllers are also compared. It is concluded that the simplest T-S fuzzy controller can outperform the linear proportional controllers in a noisy environment with external disturbances.
Xianlin Huang - One of the best experts on this subject based on the ideXlab platform.
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stability analysis of the simplest takagi sugeno fuzzy control system using popov criterion
International Journal of Innovative Computing Information and Control, 2007Co-Authors: Xiaojun Ban, X Z Gao, Xianlin Huang, Hang YinAbstract:In this paper, the mathematical properties of the simplest Takagi-Sugeno (TS) fuzzy controller are first investigated in detail. Next, based on the well-known Popov criterion with Graphical Interpretation, a sufficient condition in the frequency domain is proposed to guarantee the globally asymptotical stability of the simplest T-S fuzzy system. A performance comparison is also made between the simplest T-S fuzzy and conventional linear controllers. It is concluded that the simplest T-S fuzzy controller outperforms its linear counterparts, when both the disturbance and sensor noise are considered.
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Stability analysis of the simplest Takagi-Sugeno fuzzy control system using circle criterion
Information Sciences, 2007Co-Authors: Xiaojun Ban, X Z Gao, Xianlin Huang, A. V. VasilakosAbstract:In this paper, we present two sufficient conditions in the frequency domain for the global stability analysis of the simplest Takagi-Sugeno (T-S) fuzzy control system, based on the circle criterion and its Graphical Interpretation. These conditions are significant in Graphically designing the simplest T-S fuzzy controller in the frequency domain. Four numerical examples are provided to demonstrate the efficiency of our two frequency domain-based conditions. Furthermore, this T-S fuzzy controller and the linear proportional controllers are also compared. It is concluded that the simplest T-S fuzzy controller can outperform the linear proportional controllers in a noisy environment with external disturbances.
X Z Gao - One of the best experts on this subject based on the ideXlab platform.
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stability analysis of the simplest takagi sugeno fuzzy control system using popov criterion
International Journal of Innovative Computing Information and Control, 2007Co-Authors: Xiaojun Ban, X Z Gao, Xianlin Huang, Hang YinAbstract:In this paper, the mathematical properties of the simplest Takagi-Sugeno (TS) fuzzy controller are first investigated in detail. Next, based on the well-known Popov criterion with Graphical Interpretation, a sufficient condition in the frequency domain is proposed to guarantee the globally asymptotical stability of the simplest T-S fuzzy system. A performance comparison is also made between the simplest T-S fuzzy and conventional linear controllers. It is concluded that the simplest T-S fuzzy controller outperforms its linear counterparts, when both the disturbance and sensor noise are considered.
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Stability analysis of the simplest Takagi-Sugeno fuzzy control system using circle criterion
Information Sciences, 2007Co-Authors: Xiaojun Ban, X Z Gao, Xianlin Huang, A. V. VasilakosAbstract:In this paper, we present two sufficient conditions in the frequency domain for the global stability analysis of the simplest Takagi-Sugeno (T-S) fuzzy control system, based on the circle criterion and its Graphical Interpretation. These conditions are significant in Graphically designing the simplest T-S fuzzy controller in the frequency domain. Four numerical examples are provided to demonstrate the efficiency of our two frequency domain-based conditions. Furthermore, this T-S fuzzy controller and the linear proportional controllers are also compared. It is concluded that the simplest T-S fuzzy controller can outperform the linear proportional controllers in a noisy environment with external disturbances.
