Robust Observer Design for Nonlinear Systems by Using Incremental Exponential Input Output-to-State Stability
Résumé
This paper addresses the design of robust nonlinear observers by leveraging the concept of incremental Exponential Input Output-to-State Stability (i-EIOSS). The key approach is to demonstrate that, under certain additional conditions, a system exhibiting the i-EIOSS property also satisfies the incremental Exponential Input-to-State Stability (i-EISS) property. Based on this result, novel linear matrix inequality (LMI) conditions for nonlinear observer design are proposed. The convergence analysis relies on Lyapunov methods combined with advanced stability analysis techniques.

