Robust sampled-data control: An input delay approach
Résumé
A method for robust sampled-data stabilization of linear continuous-time systems is introduced. This method is based on the continuous-time model with time-varying input delay. Under assumption that the maximum sampling interval is not greater then h > 0, the h-dependent sufficient LMIs conditions for stabilization of systems with polytopic type uncertainty and for regional stabilization of systems with sampled-data saturated state-feedback are derived via descriptor system approach to time-delay systems. The new approach solves the problems for comparatively small h and leads to sufficient conditions only, however these conditions are simple. The method may be applied to a wide spectrum of robust sampled-data control problems, e.g. to guaranteed cost or to H∞ control.
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