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Robust exact differentiation via sliding mode technique. (English) Zbl 0915.93013
Author’s summary: The main problem in differentiator design is to combine differentiation exactness with robustness with respect to possible measurement errors and input noises. The proposed differentiator provides for proportionality of the maximal differentiation error to the square root of the maximal deviation of the measured input signal from the base signal. Such an order of the differential error is shown to be the best possible one when the only information known on the base signal is an upper bound for Lipschitz’s constant of the derivative.

MSC:
93B12Variable structure systems
93B35Sensitivity (robustness) of control systems
93A30Mathematical modelling of systems
94A12Signal theory (characterization, reconstruction, filtering, etc.)
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References:
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