| Title |
Robust Stability of Uncertain Linear Large-scale Systems with Time-delay via LMI Approach |
| Authors |
이희송(Lee, Hee-Song) ; 김진훈(Kim, Jin-Hoon) |
| Keywords |
Large-scale system ; Time-delay ; Uncertainty ; Lyapunov theorem ; Linear matrix inequlity(LMI) |
| Abstract |
In large-scale systems, we frequently encounter the time-delay and the uncertainty, and these should be considered in the design of controller because these are the source of the degradation of the system performance and instability of system. In this paper, we consider the robust stability of the linear large scale systems with the uncertainties and the time-delays. The considered uncertainties are both structured uncertainty and the unstructured uncertainty. Also, the considered time-delays are time-varying having finite time derivative limits. Based on the Lyapunov theorem and the linear matrix inequality(LMI) technique, we present two sufficient conditions that guarantee the robust stability of the system. The conditions are expressed as the LMI forms which can be easily checked their feasibility by using the well-known LMI control toolbox. Finally, we show by two examples that our results are less conservative than the previous results. |