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

Abstract

We examine the analysis and output feedback synthesis problems for linear parameter-varying (LPV) systems with parameter-varying time delays. It is as sumed 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 La 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 (LMIs) that can be solved via efficient interior-point algorithms.