An LMI-based adaptive resilient observer design for a class of nonlinear systems

This paper addresses parameter and state estimation problem in the presence of perturbation on observer gain for the Lipschitz systems that are linear in unknown parameters and nonlinear in states. A nonlinear adaptive resilient observer is designed, and its stability conditions based on Lyapunov technique are derived. The gain for this observer is derived systematically using linear matrix inequality approach. A numerical example is provided in which the nonlinear terms depend on unmeasured states. The simulation results are presented to show the effectiveness of the proposed method.