State-feedback control of LPV sampled-data systems

In this paper, we address the analysis and the state-feedback synthesis pro blems for linear parameter-varying (LPV) sampled-data control systems. We a ssume that the state-space data of the plant and the sampling interval depe nd on parameters that are measurable in real-time and vary in a compact set with bounded variation rates. We explore criteria such as the stability, t he energy-to-energy gain (induced L-2 norm) and the energy-to-peak gain (in duced L-2-to-L-infinity norm) of such sampled-data LPV systems using parame ter-dependent Lyapunov functions. Based on these analysis results, the samp led-data state-feedback control synthesis problems are examined. Both analy sis and synthesis conditions are formulated in terms of linear matrix inequ alities that can be solved via efficient interior-point algorithms.