Stability analysis and design of fuzzy control systems
Fuzzy Sets and Systems
An approach to fuzzy control of nonlinear systems: stability and design issues
IEEE Transactions on Fuzzy Systems
International Journal of Approximate Reasoning
Graphical L2-stability analysis of Takagi--Sugeno control systems in the frequency domain
Fuzzy Sets and Systems
Journal of Control Science and Engineering
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A new stability analysis method for a class of fuzzy control systems based on Takagi-Sugeno models and PID controllers is proposed in this paper. It has shown that the traditional Takagi-Sugeno fuzzy state models with certain matrix structures are equivalent to fuzzy transfer function models, which have two consequents in each rule. Then, when the PID controllers utilising the overall closed-loop system behave like an uncertain affine system. So we can use some results from robust control theory to analyse the system stability.