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.