Robust H∞ controller design for linear uncertain systems with delayed state and control

This paper mainly studies quadratic stabilization and robust H∞ controller design for linear uncertain dynamic systems with delayed state and control. The paper presents a static state feedback controller which stabilizes the plant and reduces the effect of the disturbance input on the controlled output to prescribed levels for all admissible uncertainties. The sufficient conditions for quadratic stabilization with a H∞ norm bound constraint are derived. The results can be regarded as an extension of existing results to robust H∞ controller design for linear uncertain dynamic systems with delayed state and control.