Chaotic synchronization via adaptive sliding mode observers subject to input nonlinearity

This paper is concerned with the state reconstruction of nonlinear chaotic systems with uncertainty having unknown bounds. An adaptive output feedback sliding mode observer (AOFSMO) is established from the available output measurement. Unlike most works we further consider the presence of input nonlinearity due to physical limitations and no restrictive assumption is imposed on the system. Thus, the range of applicability of the proposed method becomes broad. Finally, a hyperchaotic Rössler system is used as an illustrative example to demonstrate the effectiveness of the proposed AOFSMO design method.