| Title:
|
Improving the performance of semiglobal output controllers for nonlinear systems (English) |
| Author:
|
Benabdallah, Abdallah |
| Author:
|
Hdidi, Walid |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
53 |
| Issue:
|
2 |
| Year:
|
2017 |
| Pages:
|
296-330 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
For a large class of nonlinear control systems, the main drawback of a semiglobal stabilizing output feedback controllers $(\mathcal{U}_R)_{R>0}$ with increasing regions of attraction $(\Omega_R)_{R>0}$ is that, when the region of attraction $\Omega_R$ is large, the convergence of solutions of the closed-loop system to the origin becomes slow. To improve the performance of a semiglobal controller, we look for a new feedback control law that preserves the semiglobal stability of the nonlinear system under consideration and that is equal to some "fast" controller $\mathcal{U}_{R_0}$ on a neighborhood of the origin. Under an input-output-to-state stability (IOSS) assumption, we propose a new semiglobal stabilizing hybrid feedback controller that unifies a "slow" controller that has a large region of attraction with a "fast" controller having a small region of attraction. This unification is inspired from the elegant hybrid unification of a local controller with a global one given in [21]. Moreover, this unification is different from the recent result [24], since in the cited paper the objective is just the stabilization; whereas in our study, the objective is the stabilization with high performance. Finally, we illustrate our main result by means of two numerical examples. (English) |
| Keyword:
|
nonlinear system |
| Keyword:
|
hybrid output feedback |
| Keyword:
|
semiglobal output stabilization |
| Keyword:
|
local performance |
| MSC:
|
93C10 |
| MSC:
|
93D15 |
| idZBL:
|
Zbl 06770170 |
| idMR:
|
MR3661354 |
| DOI:
|
10.14736/kyb-2017-2-0296 |
| . |
| Date available:
|
2017-06-25T18:01:15Z |
| Last updated:
|
2018-01-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/146807 |
| . |
| Reference:
|
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