Exact state estimation for linear systems with unknown inputs based on hierarchical super‐twisting algorithm

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A linear framework for the robust stability analysis of a Generalized Super-Twisting Algorithm (2009, methodology): “This algorithm received another meaning when it was first used to design robust exact differentiators [12] and observers ([5], [3], [7]), providing finite time convergence for the observers even in the presence of unknown inputs.”
High-Order Sliding-Mode Observation of Linear Systems with Unknown Inputs (2008, methodology): “The effectiveness of higher order sliding mode observers for fault detection was shown in Chen and Saif [2007], Fridman et al. [2007b], Bejarano et al.”
Finite-time converging jump observer for switched linear systems with unknown inputs ☆ (2011, methodology): “Let us recall the solution proposed in Bejarano et al. (2007) for observing in finite time the state of system (2).”