LMI-based observer design for one-sided Lipschitz nonlinear systems

This paper considers the observer design for one-sided Lipschitz nonlinear systems. Sufficient conditions for the existence of observer for these systems are provided and expressed in terms of linear matrix inequalities, which are easily and numerically tractable via standard software algorithms. It is proven that the proposed conditions are less conservative than some existing results in recent literature. Simulation results on an example are given to numerically verify the proposed design.