State observer design method for a class of non-linear systems

In this study, the authors develop a new high-gain observer design method for non-linear systems. This new design provides a lower gain compared to both the high-gain and the enhanced high-gain observer. The idea is to combine the improved high-gain methodology with the linear matrix inequality based observer design technique to build a more general observer that allows one to exploit the benefits of both approaches. A numerical example is given to show the effectiveness of the proposed observer with different values of the Lipschitz constant and of the compromise index.