Robust quadratic performance analysis and synthesis for time-delayed uncertain linear systems

In this paper, the analysis and control synthesis problems were studied for a class of uncertain linear systems with variable time delay. It is assumed that the structured time-varying parametric uncertainties enter the system description in a linear fractional fashion. The generic quadratic performance metric encompasses many types of dynamic system performance measure. Using the mechanism of full-block scaling, it was shown that the analysis and state-feedback synthesis conditions for such time-delayed uncertain systems can be formulated as linear matrix inequality (LMI) optimization problems, which in turn is solvable using efficient interior-point algorithms