Abstract

AbstractIn this paper, a robust adaptive fuzzy controller which combines the sliding mode control with an adaptive Proportional Integral (PI) term is developed for a class of nonlinear Multi Inputs Multi Outputs (MIMO) underactuated systems with unknown parameters and in presence of external disturbances. The main contribution of the proposed method is that underactuated systems can be controlled in their original non square form. The problem of matrix singularity for this class of systems is solved by using the property of the regularized inverse and by introducing a compensator term in the proposed control law. The free parameters of the adaptive fuzzy controller are tuned on-line based on the Lyapunov approach. The overall adaptive fuzzy scheme guarantees the boundedness of all the closed-loop signals as well as the tracking errors. The validity of the proposed approach is shown by computer simulations.

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