“…Thus, researchers have paid great enthusiasm and energy into sampled-data systems. Recently, there are three main approaches of sampled-data observer design for nonlinear systems, such as continuous designed and then discretization [1,7,16], design based on a discrete-time approximation model [18,33], continuous and discrete design [6,19,22,23,25,27,30]. Inspired by [4], we want to extend observer design for Lipschitz nonlinear systems with outputs sampled at discrete instants by the third method, i. e., continuous and discrete design.…”