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

作者: F.J. Bejarano , L. Fridman , A. Poznyak

DOI: 10.1002/RNC.1190

关键词: MathematicsObserver (quantum physics)Control theoryBounded functionLTI system theoryObservabilityLinear systemAlgorithmState vectorState observerSliding mode controlControl and Systems EngineeringMechanical engineeringElectrical and Electronic EngineeringIndustrial and Manufacturing EngineeringGeneral Chemical EngineeringAerospace engineeringBiomedical engineering

摘要: A robust hierarchical observer is designed for linear time invariant systems with unknown bounded inputs under conditions of strong observability, providing exact state estimation. The main condition for designing the state estimator is the, so‐called, strong observability condition. The supertwisting (second‐order sliding mode) algorithm is used in each step of the hierarchy; the continuity of the supertwisting output injection allows to reconstruct a vector formed by some full column rank matrix premultiplied by the state vector, and that …

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