LPV Systems with parameter-varying time delays: analysis and control

In this payer, we address the analysis and state-feedback synthesis problem s for linear parameter-varying (LPV) systems with parameter-varying time de lays. It is assumed that the state-space data and the lime delays are depen dent on parameters that are measurable in real-time and vary in a compact s et with bounded variation rates. We explore the stability and the induced L -2 norm performance of these systems using parameter-dependent Lyapunov fun ctionals. In addition, the design of parameter-dependent state-feedback con trollers that guarantee desired L-2 gain performance is examined. Both anal ysis and synthesis conditions are formulated in terms of linear matrix ineq ualities (LMIs) that can be solved via efficient interior-point algorithms. (C) 2000 Elsevier Science Ltd. All rights reserved.