On strict Lyapunov functions for some non-homogeneous super-twisting algorithms |
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| Authors: | Jaime A Moreno |
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| Institution: | Eléctrica y Computación, Instituto de Ingeniería, Universidad Nacional Autónoma de México (UNAM), 04510 México, DF, Mexico |
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| Abstract: | In this paper strict, non-smooth Lyapunov functions for some non-homogeneous versions of the super-twisting algorithm are proposed. Convergence under the action of bounded perturbations for two basic forms of non-homogeneous algorithms will be studied by means of the Lyapunov functions. Since the homogeneity property cannot be used directly to prove stability of the algorithms, the availability of a Lyapunov function is of great importance for analysis and design in these cases. Moreover, exponential or finite-time and local or global stability are required to be established, since they are not derived from the homogeneity. |
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