Automatica, Vol.46, No.8, 1327-1333, 2010
Stability and stabilization of aperiodic sampled-data control systems using robust linear matrix inequalities
Stability analysis of an aperiodic sampled-data control system is considered for application to networked and embedded control. The stability condition is described in a linear matrix inequality to be satisfied for all possible sampling intervals. Although this condition is numerically intractable, a tractable sufficient condition can be constructed with the mean value theorem. Special attention is paid to tightness of the sufficient condition for less conservative stability analysis. A region-dividing technique for the reduction of conservatism and generalization to stabilization are also discussed. An example demonstrates the efficacy of the approach. (C) 2010 Elsevier Ltd. All rights reserved.
Keywords:Sampled-data control;Robust linear matrix inequality;Conservatism;Asymptotic exactness;Semidefinite programming;Adaptive division