L2-L2 and L2-L∞ output feedback control of time-delayed LPV systems

We examine the analysis and output feedback synthesis problems for linear parameter-varying (LPV) systems with parameter-varying time delays. It is assumed that the state-space data and the time delays are dependent on parameters that are measurable in real-time and vary in a compact set with bounded variation rates. We explore the stability, the L₂ induced norm performance and the L₂-to-L_∞ gain performance of these systems using parameter-dependent Lyapunov-Krasovskii functionals. In addition, the designs of parameter-dependent dynamic output feedback controllers that guarantee stability and desired induced norm performance are examined. Both analysis and synthesis conditions are formulated in terms of linear matrix inequalities (LMI) that can be solved via efficient interior-point algorithms