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• W2891828630 abstract "Summary 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." @default.
• W2891828630 created "2018-09-27" @default.
• W2891828630 creator A5000754031 @default.
• W2891828630 creator A5011888247 @default.
• W2891828630 date "2018-09-04" @default.
• W2891828630 modified "2023-10-14" @default.
• W2891828630 title "Generalised multivariable supertwisting algorithm" @default.
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• W2891828630 doi "https://doi.org/10.1002/rnc.4311" @default.
• W2891828630 hasPublicationYear "2018" @default.
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