Semiglobal stabilization of nonlinear systems using fuzzy control and singular perturbation methods
Fuzzy Sets and Systems - Control and applications
Constrained fuzzy controller design of discrete Takagi-Sugeno fuzzy models
Fuzzy Sets and Systems - Theme: Fuzzy control
International Journal of Systems Science
Fundamentals of a fuzzy-logic-based generalized theory of stability
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics - Special issue on cybernetics and cognitive informatics
Stable controller design for T--S fuzzy systems based on Lie algebras
Fuzzy Sets and Systems
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Studies the global asymptotic stability of a class of fuzzy systems. It demonstrates the equivalence of stability properties of fuzzy systems and linear time invariant (LTI) switching systems. A necessary and sufficient condition for the stability of such systems are given, and it is shown that under the sufficient condition, a common Lyapunov function exists for the LTI subsystems. A particular case when the system matrices can be simultaneously transformed to normal matrices is shown to correspond to the existence of a common quadratic Lyapunov function. A constructive procedure to check the possibility of simultaneous transformation to normal matrices is provided