A robust observer design method for continuous-time lipschitz nonlinear systems

Abstract-A new observer design method for Lipschitz nonlinear systems is proposed in the form of LMI optimization problem. Besides asymptotic stability, the proposed observer is robust against some nonlinear uncertainty. In addition, a new LMI approach for H ∞ nonlinear observer designed is introduced. The new LMI formulation allows optimizations both on the H ∞ cost and nonlinear uncertainty robustness