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초록
영어
This paper investigates the chaos control problem for Lorenz-Stenflo chaotic system with uncertain parameters. Based on the interval matrix theory, the Takagi-Sugeno(T-S)fuzzy model is applied to the Lorenz-Stenflo chaotic system with uncertain parameters.Based on theLyapunov stability theorem, the sufficient stabilitycondition for the Lorenz-Stenflo chaotic system is presented as a set of linear matrix inequality (LMI) forthe first time and the strict mathematical norms of LMI are given. Then the controller feedback gain can be obtained by solving a set of linear matrix inequality. Finally, simulation results for the Lorenz-Stenflo chaotic system are provided to illustrate the effectiveness of the proposed scheme.
목차
Abstract
1. Introduction
2. System Description and Nonlinear Dynamics Analysis
2.1. Lorenz-Stenflo System
2.2. The Bifurcation Map of the System
2.3. Poincare Map
2.4. Lyapunov Exponent Spectrum
3. T-S Fuzzy Control Method Design
3.1. Problem Formulation
3.2. T-S Fuzzy Model and the Parallel Distributed Compensation (PDC) Controller
3.3. The Interval Matrix theory
3.4. T-S Fuzzy Model for Lorenz-Stenflo Chaotic System
3.5. T-S Fuzzy Model-based Controller
4. Simulation Results
5. Conclusion
Acknowledgements
References
1. Introduction
2. System Description and Nonlinear Dynamics Analysis
2.1. Lorenz-Stenflo System
2.2. The Bifurcation Map of the System
2.3. Poincare Map
2.4. Lyapunov Exponent Spectrum
3. T-S Fuzzy Control Method Design
3.1. Problem Formulation
3.2. T-S Fuzzy Model and the Parallel Distributed Compensation (PDC) Controller
3.3. The Interval Matrix theory
3.4. T-S Fuzzy Model for Lorenz-Stenflo Chaotic System
3.5. T-S Fuzzy Model-based Controller
4. Simulation Results
5. Conclusion
Acknowledgements
References
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