Name
Title | ||
|---|---|---|
Event-triggered control of nonlinear singularly perturbed systems based only on the slow dynamics |
Abstract | ||
|---|---|---|
Controllers are often designed based on a reduced or simplified model of the plant dynamics. In this context, we investigate whether it is possible to synthesize a stabilizing event-triggered feedback law for networked control systems (NCS) which have two time-scales, based only on an approximate model of the slow dynamics. We follow an emulation-like approach as we assume that we know how to solve the problem in the absence of sampling and then we study how to design the event-triggering rule under communication constraints. The NCS is modeled as a hybrid singularly perturbed system which exhibits the feature to generate jumps for both the fast variable and the error variable induced by the sampling. The first conclusion is that a triggering law which guarantees the stability and the existence of a uniform minimum amount of time between two transmissions for the slow model may not ensure the existence of such a time for the overall system, which makes the controller not implementable in practice. The objective of this contribution is twofold. We first show that existing event-triggering conditions can be adapted to singularly perturbed systems and semiglobal practical stability can be ensured in this case. Second, we propose another technique that combines event-triggered and time-triggered results in the sense that transmissions are only allowed after a predefined amount of time has elapsed since the last transmission. This technique has the advantage, under an additional assumption, to ensure a global asymptotic stability property and to allow the user to directly tune the minimum inter-transmission interval. We believe that this technique is of its own interest independently of the two-time scale nature of the addressed problem. The results are shown to be applicable to a class of globally Lipschitz systems. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1016/j.automatica.2014.10.125 | Automatica |
Keywords | DocType | Volume |
Event-triggered,Singular perturbation,Hybrid systems | Journal | 52 |
Issue | ISSN | Citations |
C | 0005-1098 | 20 |
PageRank | References | Authors |
0.85 | 15 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Mahmoud Abdelrahim | 1 | 65 | 3.54 |
| Romain Postoyan | 2 | 413 | 39.05 |
| Jamal Daafouz | 3 | 20 | 0.85 |