Abstract
In this paper, we will present new stability conditions for a special class of linear switched systems, that evolves on non-uniform time domain. The considered systems switch between continuous-time subsystems on intervals with variable lengths, and discrete-time subsystems with variable step sizes. Time scales theory is introduced to derive conditions for exponential stability of this special class of switched systems by using the dwell time approach. The conditions are based on the existence of a multiple Lyapunov function. This shows that this class of switched systems can be stabilized if the dwell time of each continuous-time subsystem is greater than some bound, and if the gap of the discrete-time subsystem is bounded by some specific values. Numerical examples are presented to show the effectiveness of the proposed scheme.
| Original language | English |
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| Title of host publication | 2019 American Control Conference, ACC 2019 |
| Publisher | Institute of Electrical and Electronics Engineers Inc. |
| Pages | 4929-4934 |
| Number of pages | 6 |
| ISBN (Electronic) | 9781538679265 |
| DOIs | |
| State | Published - Jul 2019 |
| Event | 2019 American Control Conference, ACC 2019 - Philadelphia, United States Duration: Jul 10 2019 → Jul 12 2019 |
Publication series
| Name | Proceedings of the American Control Conference |
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| Volume | 2019-July |
| ISSN (Print) | 0743-1619 |
Conference
| Conference | 2019 American Control Conference, ACC 2019 |
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| Country/Territory | United States |
| City | Philadelphia |
| Period | 07/10/19 → 07/12/19 |
Funding
This work was supported in part by the National Science Foundation (NSF) under grant No, CNS-1239366, and in part by the Engineering Research Center Program of the National Science Foundation and the Department of Energy under NSF Award Number EEC-1041877 and the CURENT Industry Partnership Program and a Joint Directed Research and Development award. Research sponsored in part by the Laboratory Directed Research and Development Program of Oak Ridge National Laboratory (ORNL), managed by UT-Battelle, LLC for the U.S. Department of Energy under Contract No. DE-AC05-00OR22725.