Fuzzy Logic Control System Stability Analysis Based on Lyapunov’s Direct Method
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The stability theorem presented here ensures sufficient conditions for the stability of the fuzzy logic control systems and enables the formulation of a new stability analysis algorithm that offers sufficient stability conditions for nonlinear processes controlled by a class of T-S FLCs.Abstract:
A stability analysis method for nonlinear processes controlled by Takagi- Sugeno (T-S) fuzzy logic controllers (FLCs) is proposed. The stability analysis of these fuzzy logic control systems is done in terms of Lyapunov's direct method. The stability theorem presented here ensures sufficient conditions for the stability of the fuzzy logic control systems. The theorem enables the formulation of a new stability analysis algorithm that offers sufficient stability conditions for nonlinear processes controlled by a class of T-S FLCs. In addition, the paper includes an illustrative example that describes one application of this algorithm in the design of a stableread more
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References
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A Survey on Analysis and Design of Model-Based Fuzzy Control Systems
TL;DR: A survey on recent developments (or state of the art) of analysis and design of model based fuzzy control systems based on the so-called Takagi-Sugeno fuzzy models or fuzzy dynamic models.
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Delay-dependent stability analysis and synthesis of uncertain T--S fuzzy systems with time-varying delay
Engang Tian,Chen Peng +1 more
TL;DR: A new method is provided by introducing some free-weighting matrices and employing the lower bound of time-varying delay and based on the Lyapunov-Krasovskii functional method, sufficient condition for the asymptotical stability of the system is obtained.
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A Design Method for PI-like Fuzzy Logic Controllers for DC–DC Converter
TL;DR: A novel design procedure of proportional and integral (Pl)-like fuzzy logic controller for DC-DC converters that integrates linear control techniques with fuzzy logic results in a nonlinear controller with improved performance over linear PI controllers.
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Fuzzy rule interpolation for multidimensional input spaces with applications: a case study
TL;DR: The results show that the proposed fuzzy rule interpolation technique for multidimensional input spaces can be used in engineering applications and is compared by means of application examples in the field of petroleum engineering and mineral processing.
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