Mathematics of Operations Research
Optimal Sampled-Data Control Systems
Optimal Sampled-Data Control Systems
Digital Control and Estimation: A Unified Approach
Digital Control and Estimation: A Unified Approach
Robust Solutions to Uncertain Semidefinite Programs
SIAM Journal on Optimization
On Tractable Approximations of Uncertain Linear Matrix Inequalities Affected by Interval Uncertainty
SIAM Journal on Optimization
Relaxations for Robust Linear Matrix Inequality Problems with Verifications for Exactness
SIAM Journal on Matrix Analysis and Applications
Matrix Sum-of-Squares Relaxations for Robust Semi-Definite Programs
Mathematical Programming: Series A and B
Technical communique: Stability and stabilization of nonuniform sampling systems
Automatica (Journal of IFAC)
Technical Communique: Robust sampled-data stabilization of linear systems: an input delay approach
Automatica (Journal of IFAC)
Random stabilization of sampled-data control systems with nonuniform sampling
International Journal of Automation and Computing
Technical communique: Static output-feedback control under information structure constraints
Automatica (Journal of IFAC)
| Hi-index | 22.15 |
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.