Ardashir Mohammadzadeh

In this paper the problem of multi-synchronization with time-varying switching modes is introduced and a novel adaptive control method is designed. Unlike to the most studies, in addition to the unknown dynamics, the values of fractional-orders and control input nonlinearities are also considered to be unknown. A new fractional-order dynamic model on basis of non-singleton interval type-3 fuzzy logic system (NIT3-FLS) is presented to estimate the uncertainties. A fractional-order tuning rule is derived to optimize NIT3-FLS. An adaptive compensator is designed to tackle the effects of approximation errors, switching of synchronization modes and dynamic uncertainties and perturbations. The superiority of the suggested control scheme is verified through the several simulations and comparisons with the other control systems and other kind of FLSs.