Observer design for fractional order one-sided Lipschitz nonlinear systems with unknown input

摘要

In this paper, we consider a method of designing the unknown input observers for fractional order one-sided Lipchitz nonlinear systems. By introducing a continuous frequency distributed equivalent model and using the matrix generalized inverse approach, sufficient conditions for asymptotic stability of the observer error dynamic systems are presented, which guarantee the existence of the full-order unknown input observers. All the conditions are obtained in terms of linear matrix inequality (LMI). Two numerical examples are given to demonstrate the applicability of the proposed approach.