|
|||||
|
|
On homogeneity and its application in sliding mode control |
|
| Authors: | Emmanuel Bernuau Denis Efimov Wilfrid Perruquetti Andrey Polyakov |
| Institution: | 1. LAGIS UMR CNRS 8219, Ecole Centrale de Lille, BP 48, Cité Scientifique, 59651 Villeneuve-d?Ascq, France;2. Non-A, INRIA - LNE, Parc Scientifique de la Haute Borne 40, avenue Halley Bat.A, Park Plaza 59650 Villeneuve d?Ascq, France;3. Department of Control Systems and Informatics, Saint Petersburg State University of Information Technologies Mechanics and Optics, Kronverkskiy av. 49, Saint Petersburg, 197101, Russia |
| Abstract: | The paper is reviewing the tools to handle high-order sliding mode design and robustness. The main ingredient is homogeneity which can be checked using an algebraic test and which helps us in obtaining one of the most desired properties in sliding mode control that is finite-time stability. This paper stresses some recently obtained results about homogeneity for differential inclusions and robustness with respect to perturbations in the context of input-to-state stability. Lastly within this framework, most of the popular high-order sliding mode control schemas are analysed. |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ | |