IEEE Transactions on Automatic Control · 1980 · 38 citations · 9 references
EngineeringMathematicsSystems EngineeringDynamical SystemsProcess ControlSystem DynamicsControl SystemsControl TheoryPerturbation TheoryReduced-order ModelingSingular Perturbation TheoryState EstimationEigenvaluesNonlinear ObserversObserver DesignReduced-order ControlSingular Perturbations In Control TheoryState Observer DesignState ObserversUpper Bounds
This paper considers observers of slow states in singularly perturbed systems. Upper bounds are derived on observer error due to use of a reduced-order model in the observer. This error is shown to be 0(μ), where the singular perturbation parameter μ is a measure of the separation between the slow and fast eigenvalues of the full-order system.
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