In:
International Journal of Robust and Nonlinear Control, Wiley, Vol. 29, No. 3 ( 2019-02), p. 634-660
Abstract:
The purpose of this paper is to present an extension of the generalised supertwisting algorithm (STA) to the multivariable framework. We begin by introducing an algorithm that may be deemed as a linear, quasicontinuous, or discontinuous multivariable system, depending on the functions that define them. For the class represented by such an algorithm we prove the robust, Lyapunov stability of the origin and characterise the perturbations that preserve its stability. In particular, when its vector field is discontinuous or quasicontinuous our algorithm is endowed with finite‐time stability. Due to its resemblance to the scalar case, we denote such finite‐time stable systems as generalised multivariable STA . Furthermore, the class of finite‐time stable systems comprise the currently available versions of STAs. To finalise, by means of simulation examples, we show that our proposed finite‐time stable algorithms are well suited for signals online differentiation and highlight their dynamical traits.
Type of Medium:
Online Resource
ISSN:
1049-8923
,
1099-1239
Language:
English
Publisher:
Wiley
Publication Date:
2019
detail.hit.zdb_id:
2019094-3
SSG:
17,1
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