No abstract

In this paper stability robustness bounds for linear state space models with dependent uncertainty based on the Lyapunov stability method and time-invariant perturbation method are applied to a microgrid system. In contrast to previous observations, it is shown that the Lyapunov stability bound gives better result than the time-invariant perturbation bound for a dependent uncertainty for the open-loop microgrid system. It is also shown that the Lyapunov stability bound gives larger value for the closed-loop microgrid system with the linear quadratic regulator control.