Local Sampled-Data Gain-Scheduling Control of quasi-LPV Systems

This paper deals with the problem of sampled-data gain-scheduling control design for affine quasi-LPV systems. As implementation is based on sample-data and its update occurs only at specific sampling instants, state-dependent scheduling functions controller are piecewise continuous. characteristic causes a mismatch between system model parameters, namely asynchronous respect to plant during inter-sampling behavior. To cope this phenomenon, polytopic description constructed bounding assumptions their time derivatives. Then, regarding time-delay approach, constructive numerically implementable LMI-based synthesis condition derived, convex procedure proposed enlarging estimate region attraction origin closed-loop system. The time-derivative bounds explicitly accounted into local analysis ensure method’s implementation. A numerical example provided illustrate methodology.