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Sliding-mode observer design is considered for linear systems with unknown inputs when the so-called observer matching condition is not satisfied. To circumvent the restriction imposed by the observer matching condition, the method of utilizing auxiliary outputs generated by high-order sliding-mode exact differentiators in the sliding-mode observer design has been proposed in the literature. In this...
Two classes of full-order sliding mode observers for uncertain dynamical systems are analyzed. The first class has its roots in the sliding mode equivalent-control method, while the second class is based on the second method of Lyapunov. The observers are analyzed using differential inequalities that appear in the analysis of a class of sliding mode controllers. Using the differential inequalities,...
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