An identification approach for unstable nonlinear systems with nonlinear parameterization using MRAC

Abstract

The main object of this paper is to identify an unstable nonlinear system in nonlinear parameters. First, a Model Reference Adaptive Control (MRAC) guarantees that the system is stable at equilibrium point through the Lyapunov method. Next, the unknown system parameters are estimated via the nonlinear least square. Finally, simulation results demonstrate the merit of proposed method for identification of an open-loop unstable nonlinear system.