Abstract
This paper proposes conditions on input-output stability of discrete-time reset systems by using some key dissipativity properties. In the continuous-time setting, dissipativity of the base linear system is preserved under reset actions if the storage function is decreasing at reset times. Indeed, when the reset system is a full reset system, the dissipativity of the base linear system ensures the dissipativity of the reset system. However, in the discrete-time setting, this condition on the storage function is not enough to ensure the dissipativity of the base linear system. We define some dissipativity properties of discrete-time reset systems and give an appropriate definition of the reset system in order to preserve the (Q,S,R)-dissipativity of the base linear system under reset actions. As a result, ℓ2-stability of feedback interconnected dissipative control reset systems is obtained. © 2013 Published by Elsevier B.V.
| Original language | English |
|---|---|
| Pages (from-to) | 525-530 |
| Number of pages | 5 |
| Journal | Systems and Control Letters |
| Volume | 62 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 2013 |
Keywords
- ℓ2- stability
- Discrete-time reset control systems
- Dissipativity