Abstract
Stability of aperiodic sampled-data systems is investigated in this brief. A sampling interval discretization method is proposed to transform an aperiodic sampled-data system into a discrete-time switched polytopic system with help of the convex approximation technique. Using a high order time-scheduled switched homogeneous Lyapunov function (TSSHLF), a necessary and sufficient stability condition for the discrete-time switched polytopic system is proposed and presented in terms of linear matrix inequality (LMI). On the basis of this result, a sufficient stability criterion for the aperiodic sampled-data system is obtained. Finally, numerical examples are given to confirm the effectiveness of the proposed method and significant improvements over some existing ones.
| Original language | English |
|---|---|
| Article number | 8755332 |
| Pages (from-to) | 1054-1058 |
| Number of pages | 5 |
| Journal | IEEE Transactions on Circuits and Systems II: Express Briefs |
| Volume | 67 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - Jun 2020 |
Keywords
- Aperiodic sampled-data system
- discrete-time switched polytopic system
- stability
- time-scheduled switched homogeneous Lyapunov function