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Adaptive robust state stabilisation of uncertain non linear time-varying systems with delayed perturbation.
- Source :
-
International Journal of Systems Science . Nov 2021, Vol. 52 Issue 15, p3241-3253. 13p. - Publication Year :
- 2021
-
Abstract
- The problem of robust stabilisation for a class of uncertain dynamical systems with multiple delayed state perturbations is considered. In this paper, the upper bound of the nonlinearity and uncertainty, including delayed states, is assumed to be a linear function of some parameters which are still assumed to be unknown and an improved adaptation law with σ − modification is proposed to estimate these unknown gains. Moreover, by making use of the updated values of these unknown bounds, we propose a memoryless state feedback controller for such a class of uncertain time-delay systems. Based on Lyapunov stability theory and Lyapunov-Krasovskii functional, it is shown that the closed-loop dynamical system resulting from the proposed adaptive robust control schemes in the presence of multiple delayed state perturbations is globally uniformly practically exponentially stable. Finally, a numerical example is given to demonstrate the validity of the results. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00207721
- Volume :
- 52
- Issue :
- 15
- Database :
- Academic Search Index
- Journal :
- International Journal of Systems Science
- Publication Type :
- Academic Journal
- Accession number :
- 153311455
- Full Text :
- https://doi.org/10.1080/00207721.2021.1925374