Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1707702 | Applied Mathematics Letters | 2015 | 9 Pages |
Abstract
This paper employs the Lyapunov direct method for the stability analysis of fractional order linear systems subject to input saturation. A new stability condition based on saturation function is adopted for estimating the domain of attraction via ellipsoid approach. To further improve this estimation, the auxiliary feedback is also supported by the concept of stability region. The advantages of the proposed method are twofold: (1) it is straightforward to handle the problem both in analysis and design because of using Lyapunov method, (2) the estimation leads to less conservative results. A numerical example illustrates the feasibility of the proposed method.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Esmat Sadat Alaviyan Shahri, Alireza Alfi, J.A. Tenreiro Machado,