A high-gain adaptive observer for discrete-time nonlinear systems

This paper focuses on the development of adaptive observer for a class of nonlinear discrete-time systems. A high-gain observer is used to estimate the unknown parameters and state variables. The problem formulation is achieved based on the Euler approximation method. The proposed algorithm is developed to guarantees the convergence of parameters and state variables to their true values. Based on a new formulation of the high-gain observer, sufficient conditions and assumptions to ensure asymptotic convergence are established. An example involving a typical bioreactor illustrates some results of the proposed observer.