Name
Abstract | ||
|---|---|---|
This paper addresses the multi-rate stabilization problem for linear singularly perturbed systems. The proposed multi-rate sampled-data control law is based on the discretization in multi-rate fashion on the continuous-time composite control law obtained from the singular perturbation theory. The sampling times of the slow and fast state variables are allowed to be asynchronous and nonuniformly spaced. A new time-dependent Lyapunov functional is introduced to analyze the closed-loop stability of the considered system with the multi-rate feedback. With the use of the Lyapunov functional, a sufficient condition for exponential stability of the closed-loop system is derived in terms of linear matrix inequalities. Further, a robust stabilizability condition of the proposed multi-rate control law with respect to uncertain singular perturbation parameter is also obtained. Three numerical examples are presented to show the effectiveness of the developed methodology. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1016/j.jfranklin.2019.11.037 | Journal of the Franklin Institute |
DocType | Volume | Issue |
Journal | 357 | 4 |
ISSN | Citations | PageRank |
0016-0032 | 0 | 0.34 |
References | Authors | |
0 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Wu-Hua Chen | 1 | 869 | 58.24 |
| Haohua He | 2 | 0 | 0.34 |
| Xiaomei Lu | 3 | 0 | 0.68 |