Abstract
In this paper, we propose an indirect adaptive fuzzy controller for a class of SISO non-linear systems. The plant model structure is represented by a Takagi-Sugeno (T-S) type fuzzy system. The parameters of the T-S fuzzy model are adjusted online; the proposed algorithms are based on sliding manifold. The indirect adaptive fuzzy controller is based on a adjustable T-S fuzzy parameters model and sliding mode theory. The analysis of the stability of the adaptive algorithms is based on the Lyapunov approach. The plant state tracks asymptotically any bounded reference input signal. Inverted pendulum and mass spring damper are two examples used to check performances of the proposed fuzzy adaptive control scheme.
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