Robustness of linear uncertain sampled-data control systems with generalized sampled-data hold functions

This paper investigates robust stability of linear time-invariant (LTI) uncertain sampled-data control systems with generalized sampled-data hold functions (GSHFs). A new sufficient condition for robust stability of such systems is developed. Unlike that of most of the previous works, it directly uses the data of the continuous-time plant and therefore it is less conservative. The condition is expressed in terms of the spectral radius of a certain matrix and is shown to be a unimodal function of a free parameter. This property enabled LIS to use standard one-dimensional optimization algorithm to perfom the proposed test. Copyright (C) 2006 John Wiley & Soils, Ltd.