| Title |
Stabilizing Controller Design for Time-delay Singularly Perturbed Systems by H∞ Norm and Lambert W Function |
| DOI |
https://doi.org/10.5370/KIEE.2013.62.8.1144 |
| Keywords |
Time-delay singularly perturbed systems ; H_∞ norm ; Lambert W function ; Stabilizing control ; Composite control |
| Abstract |
The stabilizing controller design problem of time-delay singularly perturbed systems is considered. The proposed approach is based on the H_∞ norm and the composite control method. A sufficient condition for the stability of the time-delay slow subsystem is presented. Using this condition, we can construct the composite control law for the time-delay singularly perturbed system and analysis the system by the matrix Lambert W function. Illustrated examples are presented to demonstrate the validity and applicability of the proposed method. |