Stability and stabilization of aperiodic sampled-data control systems: An approach using robust linear matrix inequalities

Stability analysis of an aperiodic sampled-data control system is considered for application to network 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 reduction of conservatism and generalization to stabilization are also discussed. Examples show the efficacy of the approach.

I. Introduction

Sampled-data control is mature research area and established methodology is available both for analysis and design [2]. However, most of the existing results assume constant sampling interval and cannot be applied to network and embedded control systems, whose sampling interval is uncertain and varying with time.