Hybrid adaptive interval type-2 fuzzy sliding mode controller for chaos synchronization of uncertain chaotic systems

A new hybrid adaptive interval type-2 fuzzy sliding mode controller (HAIT2FSMC) for chaos synchronization of uncertain chaotic systems is developed in this paper. The HAIT2FSMC whose free parameters can be tuned on-line by output feedback control law and adaptive law. A weighting factor, which can be adjusted by the tradeoff between plant knowledge and control knowledge, is adopted to sum together the control efforts from indirect adaptive interval type-2 fuzzy sliding mode controller (IAIT2FSMC) and direct adaptive interval type-2 fuzzy sliding mode controller (DAIT2FSMC). The resulting hybrid direct/indirect interval type-2 FNN control system shows better performances, i.e., synchronization error and control effort can be made smaller and it is more flexible during the design process.