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- W2320344512 abstract "A novel fractional order Takagi–Sugeno (T–S) fuzzy control method for a class of fractional order non-linear systems is proposed in this study. On the basis of the fractional order interval theory, the generalised T–S fuzzy model for a class of uncertain fractional order non-linear systems is presented. By using fractional order Lyapunov stability theorem, the more relaxed and practical sufficient stability conditions which are presented as a new set of linear matrix inequalities are put forward, which are guaranteed by rigorous mathematical derivation. The proposed control scheme is developed for fractional order non-linear systems stabilisation in the presence of random disturbances. Typical instances including the fractional order three-dimensional (3D) non-linear system and the fractional order 4D non-linear Lorenz hyperchaos are implemented. Simulation results indicate the designed fractional order T–S fuzzy control scheme works well compared with the existing method." @default.
- W2320344512 created "2016-06-24" @default.
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- W2320344512 date "2016-04-01" @default.
- W2320344512 modified "2023-09-26" @default.
- W2320344512 title "Stabilization conditions for fuzzy control of uncertain fractional order non‐linear systems with random disturbances" @default.
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- W2320344512 doi "https://doi.org/10.1049/iet-cta.2015.0717" @default.
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