A Novel Finite-Time Fault Estimator with an Unknown Input Structure for Asynchronous Nonlinear Switched Systems

This study proposes a finite-time fault estimator with an unknown input structure for nonlinear switched dynamics with discrete-time context. In this design, the combination of finite-time policy and unknown input structure forms a practical observer to force the error estimation to be inside the specified bound after the finite time and rejects the disturbance signals. In addition, compared to the other structure utilized in the observer design, the persistent dwell-time concept is presented to lessen dwell-time restrictions. Additionally, the asynchronous phenomena are considered in the observer design, and a delay-resistant observer is formed. In the domain of linear matrix inequities, this coordinated approach is eventually expressed as a minimization issue with several constraints. These limitations dissipate the system energy and ensure that all conditions are met, and the estimation error reach zero. Eventually, the efficiency of the suggested approach is assessed using a numerical simulation of an example. The outcomes confirm that the suggested design is efficient.