Robust Stabilization of Plants with both Parameter Perturbation and Unstructured Uncertainty

In this paper a robust stabilization problem is discussed for plant with both time-varying parameter perturbations and unstructured uncertainty. It is shown that, a robust L₂-stabilizing controller can be obtained by solving an H ∞ standard problem with a scaling parameter. Using an H ∞ design method, a robust L₂-stabilizing controller is drived. Finally, a numerical example is given.