Abstract
We derive sufficient conditions for asymptotic stability of state reset systems in terms of a linear matrix inequality. The reset system is modeled as a hybrid automaton with one discrete state. The guard on the transition is a switching surface and the reset map is a projection onto a subspace of the state space. A discrete stability indicator is introduced: the projection gain. A modified version of the LMI provides a estimate of the projection gain.
| Original language | English |
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| Pages | 0074 |
| Number of pages | 8 |
| Publication status | Published - Jul 2012 |
| Event | 20th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2012 - Melbourne, Australia Duration: 9 Jul 2012 → 13 Jul 2012 Conference number: 20 |
Conference
| Conference | 20th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2012 |
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| Abbreviated title | MTNS |
| Country/Territory | Australia |
| City | Melbourne |
| Period | 9/07/12 → 13/07/12 |
Keywords
- Stability
- Reset control systems
- MSC-93C30
- MSC-93D20