Output-feedback control of LPV sampled-data systems

In this paper, we address the output-feedback synthesis problems for linear parameter-varying (LPV) sampled-data control systems with potentially variable sampling rates. We assume that the state-space matrices of the plant and the sampling interval depend on parameters that are measurable in real-time and vary in a compact set with bounded variation rates. The sampled-data output-feedback control synthesis problems are examined for criteria such as the energy-to-energy gain (induced L² norm) and the energy-to-peak gain (induced L²-to-L^∞ norm) using parameter-dependent Lyapunov functions. The synthesis conditions are formulated in terms of linear matrix inequalities (LMI) that can be solved via efficient interior-point algorithms