Journal
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
Volume 42, Issue 11, Pages 1847-1857Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207721.2011.564676
Keywords
high-order sliding mode; differentiator; finite-time stability
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Linear time-invariant systems with matched perturbations are exactly stabilised in finite time by means of dynamic output-feedback control under the assumptions of a permanent complete vector relative degree and bounded perturbations. The approach makes use of non-homogeneous high-order sliding-mode controllers and differentiators. A criterion of the differentiator convergence is developed for the detection of a proper time of turning on the controller. A gain adaptation strategy is proposed for both controller and differentiator. The performance with noisy discrete sampling is studied.
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