Abstract
In this paper, the problem of mean square exponential stabilization for sampled-data Markovin jump systems is studied. A time-scheduled Lyapunov functional consisting of a exponential-type looped function is constructed using segmentation technology and linear interpolation. Based on this new Lyapunov functional, a less conservative mean square exponential stability criterion is obtained such that a bigger maximum decay rate can be easily calculated. Meanwhile, the quantitative relationship among some system parameters, maximum sampling period, and decay rate is established. Moreover, a time-dependent state feedback sample-data controller is designed. Significant improvements of the proposed exponential-type time-scheduled Lyapunov functional method over some existing ones are verified by numerical examples.
| Original language | English |
|---|---|
| Pages (from-to) | 5876-5894 |
| Number of pages | 19 |
| Journal | International Journal of Robust and Nonlinear Control |
| Volume | 28 |
| Issue number | 18 |
| DOIs | |
| Publication status | Published - 1 Dec 2018 |
Keywords
- Markovian jump system
- mean square exponential stabilization
- sampled-data control
- time-scheduled Lyapunov functional