Improved results on reachable set estimation for singularly perturbed systems with time-varying delay. (English) Zbl 1532.93019
Summary: The problem of reachable set estimation for singularly perturbed systems with time-varying delays and bounded perturbation is studied in this paper. Firstly, a Lyapunov-Krasovskii function related to the perturbed parameter \(\eta\) is established. Secondly, introducing a method of integral inequality scaling and eliminated the influence of singularly perturbed parameter on the system within a certain range. The system state is therefore contained in a \(\eta\)-independent ellipsoid in accordance with a criterion imposed by linear matrix inequalities. Subsequently, examples are used to show that the findings are valid.
MSC:
| 93B03 | Attainable sets, reachability |
| 93C70 | Time-scale analysis and singular perturbations in control/observation systems |
| 93C43 | Delay control/observation systems |
Keywords:
singularly perturbed systems; linear matrix inequalities; time-varying delay; reachable setReferences:
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