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

• Published in: Automatica (Oxford) Vol. 46; no. 8; pp. 1327 - 1333
• Main Authors: Oishi, Yasuaki, Fujioka, Hisaya
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier Ltd 01.08.2010; Elsevier
• Subjects: Adaptive division; Applied sciences; Asymptotic exactness; Computer science; control theory; systems; Conservatism; Control system analysis; Control systems; Control theory. Systems; Exact sciences and technology; Intervals; Linear matrix inequalities; Robust linear matrix inequality; Sampled-data control; Sampling; Semidefinite programming; Stability; Stability analysis; Stabilization; Tightness; Sampled-data control; Conservatism; Semidefinite programming; Robust linear matrix inequality; Asymptotic exactness; Adaptive division; Sampled system; Stabilization; Semi definite programming; Mean value; Robust control; Distributed control; Linear matrix inequality; Asymptotic approximation; Sampling
• ISSN: 0005-1098; 1873-2836
• DOI: 10.1016/j.automatica.2010.05.006

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.