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

作者：Oishi Yasuaki^*; Fujioka Hisaya

来源：Automatica, 2010, 46(8): 1327-1333.

DOI：10.1016/j.automatica.2010.05.006

• Sampled-data control
• Robust linear matrix inequality
• Conservatism
• Asymptotic exactness
• Semidefinite programming
• Adaptive division

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.

• 出版日期2010-8